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Solving Two Point Boundary Value Problems by Modified Sumudu Transform Homotopy Perturbation Method Author(s):
Asem AL Nemrat and Zarita Zainuddin School of Mathematical Sciences, Abstract:
This paper considers a combined form of the Sumudu transform with the modified homotopy perturbation method (MHPM) to find approximate and analytical solutions for nonlinear two point boundary value problems. This method is called the modified Sumudu transform homotopy perturbation method (MSTHPM). The suggested technique avoids the roundoff errors and finds the solution without any restrictive assumptions or discretization. We will introduce an appropriate initial approximation and furthermore, the residual error will be canceled in some points of the interval (RECP). Only a first order approximation of MSTHPM will be required, as compared to STHPM, which needs more iterations for the same cases of study. After comparing figures between approximate, MSTHPM, STHPM and numerical solutions, it is found through the solutions we have obtained that they are highly accurate, indicating that the MSTHPM is very effective, simple and can be used to solve other types of nonlinear boundary value problems (BVPs). 9: Paper Source PDF document Paper's Title:
New Coincidence and Fixed Point Theorems for Strictly Contractive Hybrid Maps Author(s):
S. L. Singh and Amal M. Hashim 21, Govind Nagar, Rishikesh 249201, Abstract:
The purpose of this paper is to study the (EA)property and noncompatible maps of a hybrid pair of singlevalued and multivalued maps in fixed point considerations. Such maps have the remarkable property that they need not be continuous at their common fixed points. We use this property to obtain some coincidence and fixed point theorems for strictly contractive hybrid maps without using their continuity and completeness or compactness of the space. 9: Paper Source PDF document Paper's Title:
Coincidences and Fixed Points of Hybrid Maps in Symmetric Spaces Author(s):
S. L. Singh and Bhagwati Prasad
Vedic MRI, 21 Govind Nagar,
Department of Mathematics, Gurukula Kangri University, Abstract:
The purpose of this paper is to obtain a new coincidence theorem for a singlevalued and two multivalued operators in symmetric spaces. We derive fixed point theorems and discuss some special cases and applications. 8: Paper Source PDF document Paper's Title:
Oblique Projectors from the Simpson Discrete Fourier Transformation Matrix Author(s):
P. Singh and V. Singh School of Mathematics, Computer Science
and Statistics, Abstract:
In this paper we examine the projectors of the Simpson Discrete Fourier Transform matrix of dimension two modulus four and show how they decompose the complex vector space into a direct sum of oblique eigenspaces. These projection operators are used to define a Simpson Discrete Fractional Fourier Transform (SDFRFT). 6: Paper Source PDF document Paper's Title:
A Sum Form Functional Equation and Its Relevance in Information Theory Author(s):
Prem Nath and Dhiraj Kumar Singh
Department of Mathematics Abstract:
The general solutions of a sum form functional equation containing four unknown mappings have been investigated. The importance of these solutions in relation to various entropies in information theory has been emphasised. 5: Paper Source PDF document Paper's Title:
Some Convergence Results for JungckAm Iterative Process In Hyperbolic Spaces Author(s):
Akindele Adebayo Mebawondu and Oluwatosin Temitope Mewomo School of Mathematics, Statistics and Computer Science,
Abstract:
In this paper, we introduce a new three steps iterative process called JungckAM iterative process and show that the proposed iterative process can be used to approximate fixed points of Jungckcontractive type mappings and JungckSuzuki type mappings. In addition, we establish some strong and Δconvergence results for the approximation of fixed points of JungckSuzuki type mappings in the frame work of uniformly convex hyperbolic space. Furthermore, we show that the newly proposed iterative process has a better rate of convergence compare to the JungckNoor, JungckSP, JungckCR and some existing iterative processes in the literature. Finally, stability, data dependency results for JungckAM iterative process is established and we present an analytical proof and numerical examples to validate our claim. 3: Paper Source PDF document Paper's Title:
On Zeros of Diagonally Quasiconvex Multifunctions Author(s):
Zoran D. Mitrović
Faculty of Electrical Engineering, Abstract:
In this paper, we extended the notion of diagonally quasiconvexity for multifunctions and established several existence results for zeros of diagonally quasiconvex multifunctions. As applications we obtain the results of fixed points, coincidence points and best approximations for multifunctions. Using our result we also prove the existence of solutions to the variationallike inequality problem and generalized vector equilibrium problem. The results of this paper generalize some known results in the literature. 3: Paper Source PDF document Paper's Title:
New Inequalities of Mill's Ratio and Application to The Inverse Qfunction Approximation Author(s):
Pingyi Fan Department of Electronic Engineering,
Abstract:
In this paper, we investigate the Mill's ratio estimation problem and get two new inequalities. Compared to the well known results obtained by Gordon, they becomes tighter. Furthermore, we also discuss the inverse Qfunction approximation problem and present some useful results on the inverse solution. Numerical results confirm the validness of our theoretical analysis. In addition, we also present a conjecture on the bounds of inverse solution on Qfunction. 3: Paper Source PDF document Paper's Title:
On a subset of Bazilevic functions Author(s):
Marjono and D. K. Thomas Department of Mathematics, Department of Mathematics, Abstract:
Let S denote the class of analytic and univalent functions in of the form For α≥0, the subclass B_{1}α of S of Bazilevic functions has been extensively studied. In this paper we determine various properties of a subclass of B_{1}α, for α≥0 which extends early results of a class of starlike functions studied by Ram Singh. 2: Paper Source PDF document Paper's Title:
Essential Random Fixed Point Set of Random Operators Author(s):
Ismat Beg
Centre for Advanced Studies in Mathematics, Abstract:
We obtain necessary and sufficient conditions for the existence of essential random fixed point of a random operator defined on a compact metric space. The structure of the set of essential random fixed points is also studied. 2: Paper Source PDF document Paper's Title:
Generalized Hypergeometric Functions Defined on the Class of Univalent Functions Author(s):
N. Marikkannan, A. Gangadharan and C. Ganesamoorthy
Department of Applied Mathematics,
Department of Applied mathematics,
Department of Mathematics, Abstract:
Let A denotes the class of all analytic functions f(z), normalized by the condition f'(0)1=f(0)=0 defined on the open unit disk Δ and S be the subclass of A containing univalent functions of A. In this paper, we find the sufficient conditions for hypergeometric functions defined on S to be in certain subclasses of A, like kUCV, kST 2: Paper Source PDF document Paper's Title:
Salageantype Harmonic Univalent Functions with Respect to Symmetric Points Author(s):
R. A. AlKhal and H. A. AlKharsani
Department of Mathematics, Faculty of Science, Girls College, Abstract:
A necessary and sufficient coefficient are given for functions in a class of complexvalued harmonic univalent functions of the form f=h+\g using Salagean operator where h and g are analytic in the unit disk U = {z:z<1}. Furthermore, distortion theorems, extreme points, convolution condition, and convex combinations for this family of harmonic functions are obtained. 2: Paper Source PDF document Paper's Title:
Some Inequalities for a Certain Class of Multivalent Functions Using Multiplier Transformation Author(s):
K. Suchithra, B. Adolf Stephen, A. Gangadharan and S. Sivasubramanian
Department Of Applied Mathematics
Department Of Mathematics,
Department Of Applied Mathematics
Department Of Mathematics, Abstract:
The object of the present paper is to derive several inequalities associated with differential subordinations between analytic functions and a linear operator defined for a certain family of pvalent functions, which is introduced here by means of a family of extended multiplier transformations. Some special cases and consequences of the main results are also considered. 2: Paper Source PDF document Paper's Title:
FeketeSzegö Problem for Univalent Functions with Respect to kSymmetric Points Author(s):
K. AlShaqsi and M. Darus
School of Mathematical Sciences, Faculty of Science and Technology, Abstract:
In the present investigation, sharp upper bounds of a_{3} μa_{2}^{2} for functions f(z) = z + a_{2}z^{2} + a_{2}z^{3} + ... belonging to certain subclasses of starlike and convex functions with respect to ksymmetric points are obtained. Also certain applications of the main results for subclasses of functions defined by convolution with a normalized analytic function are given. In particular, Fekete Szegö inequalities for certain classes of functions defined through fractional derivatives are obtained. 2: Paper Source PDF document Paper's Title:
Common Fixed Point Results for Banach Operator Pairs and Applications to Best Approximation Author(s):
Hemant Kumar Nashine
Department of Mathematics, hemantnashine@rediffmail.com Abstract:
The common fixed point results for Banach operator pair with generalized nonexpansive mappings in qnormed space have been obtained in the present work. As application, some more general best approximation results have also been determined without the assumption of linearity or affinity of mappings. These results unify and generalize various existing known results with the aid of more general class of noncommuting mappings. 1: Paper Source PDF document Paper's Title:
FeketeSzegö Inequality for Certain Class of Analytic Functions Author(s):
V. Ravichandran, Maslina Darus, M. Hussain Khan, and K. G. Subramanian School of
Mathematical Sciences, Universiti Sains Malaysia, School of
Mathematical Sciences, Faculty of Sciences and Technology, Department of
Mathematics, Islamiah College, Department of
Mathematics, Madras Christian College, Tambaram,
Abstract:
In this present investigation, the authors obtain FeketeSzegö inequality for a certain class of analytic functions f(z) for which lies in a region starlike with respect to 1 and symmetric with respect to the real axis. Also certain application of our main result for a class of functions defined by Hadamard product (convolution) is given. As a special case of our result we obtain FeketeSzegö inequality for a class of functions defined through fractional derivatives. Also we obtain FeketeSzegö inequality for the inverse functions. 1: Paper Source PDF document Paper's Title:
On εsimultaneous Approximation in Quotient Spaces Author(s):
H. Alizadeh, Sh. Rezapour, S. M. Vaezpour Department of
Mathematics, Aazad Abstract:
The purpose of this paper is to develop a theory of best simultaneous approximation to εsimultaneous approximation. We shall introduce the concept of εsimultaneous pseudo Chebyshev, εsimultaneous quasi Chebyshev and εsimultaneous weakly Chebyshev subspaces of a Banach space. Then, it will be determined under what conditions these subspaces are transmitted to and from quotient spaces. 1: Paper Source PDF document Paper's Title:
On the Degree of Approximation of Continuous Functions that Pertains to the SequenceToSequence Transformation Author(s):
Xhevat Z. Krasniqi Abstract:
In this paper we prove analogous theorems like Leindler's 3 using the socalled Atransform of the Btransform of the partial sums of Fourier series. In addition, more than two such transforms are introduced and for them analogous results are showed as well. 1: Paper Source PDF document Paper's Title:
A Subordination Theorem for Analytic Functions Author(s):
Marjono Department of Mathematics, Faculty of
Mathematics and Natural Sciences, Abstract:
It is shown that if f is analytic in D={z:z<1}, with f(0)=f'(0)1=0, then for implies where and that β(γ) is the largest number such that this implication holds. 1: Paper Source PDF document Paper's Title:
New Implicit KirkType Schemes for General Class of QuasiContractive Operators in Generalized Convex Metric Spaces Author(s):
K. Rauf, O. T. Wahab and A. Ali Department of Mathematics, Department of Statistics and Mathematical
Sciences, Department of Mathematics, Abstract:
In this paper, we introduce some new implicit Kirktype iterative schemes in generalized convex metric spaces in order to approximate fixed points for general class of quasicontractive type operators. The strong convergence, Tstability, equivalency, data dependence and convergence rate of these results were explored. The iterative schemes are faster and better, in term of speed of convergence, than their corresponding results in the literature. These results also improve and generalize several existing iterative schemes in the literature and they provide analogues of the corresponding results of other spaces, namely: normed spaces, CAT(0) spaces and so on. 1: Paper Source PDF document Paper's Title:
Inequalities for Discrete FDivergence Measures: A Survey of Recent Results Author(s):
Sever S. Dragomir^{1,2} ^{1}Mathematics, School of Engineering
& Science Abstract:
In this paper we survey some recent results obtained by the author in providing various bounds for the celebrated fdivergence measure for various classes of functions f. Several techniques including inequalities of Jensen and Slater types for convex functions are employed. Bounds in terms of KullbackLeibler Distance, Hellinger Discrimination and Varation distance are provided. Approximations of the fdivergence measure by the use of the celebrated Ostrowski and Trapezoid inequalities are obtained. More accurate approximation formulae that make use of Taylor's expansion with integral remainder are also surveyed. A comprehensive list of recent papers by several authors related this important concept in information theory is also included as an appendix to the main text. 1: Paper Source PDF document Paper's Title:
Some Inequalities of the HermiteHadamard Type for kFractional Conformable Integrals Author(s):
C.J. Huang, G. Rahman, K. S. Nisar, A. Ghaffar and F. Qi Department of Mathematics, Ganzhou Teachers College,
Department of Mathematics, Shaheed Benazir
Bhutto University, Department of Mathematics, College of Arts
and Science at Wadi Aldawaser, 11991, Department of Mathematical Science,
Balochistan University of Information Technology, School of Mathematical Sciences, Tianjin
Polytechnic University,
Abstract:
In the paper, the authors deal with generalized kfractional conformable integrals, establish some inequalities of the HermiteHadamard type for generalized kfractional conformable integrals for convex functions, and generalize known inequalities of the HermiteHadamard type for conformable fractional integrals. 1: Paper Source PDF document Paper's Title:
On an extension of Edwards's double integral with applications Author(s):
I. Kim, S. Jun, Y. Vyas and A. K. Rathie Department of Mathematics Education, General Education Institute, Department of Mathematics, School of
Engineering, Department of Mathematics, Abstract:
The aim of this note is to provide an extension of the well known and useful Edwards's double integral. As an application, new class of twelve double integrals involving hypergeometric function have been evaluated in terms of gamma function. The results are established with the help of classical summation theorems for the series _{3}F_{2} due to Watson, Dixon and Whipple. Several new and interesting integrals have also been obtained from our main findings. 1: Paper Source PDF document Paper's Title:
A new approach to the study of fixed point for simulation functions with application in Gmetric spaces Author(s):
Komi Afassinou and Ojen Kumar Narain Department of Mathematical Sciences,
University of Zululand, School of Mathematics, Statistics and
Computer Science, Abstract:
The purpose of this work is to generalize the fixed point results of Kumar et al. [11] by introducing the concept of (α,β)Zcontraction mapping, Suzuki generalized (α,β)Zcontraction mapping, (α,β)admissible mapping and triangular (α,β)admissible mapping in the frame work of Gmetric spaces. Fixed point theorems for these class of mappings are established in the frame work of a complete Gmetric spaces and we establish a generalization of the fixed point result of Kumar et al. [11] and a host of others in the literature. Finally, we apply our fixed point result to solve an integral equation. 1: Paper Source PDF document Paper's Title:
Some fixed point results in partial Smetric spaces Author(s):
M. M. Rezaee, S. Sedghi, A. Mukheimer, K. Abodayeh, and Z. D. Mitrovic Department of Mathematics, Qaemshahr
Branch, Department of Mathematics, Qaemshahr
Branch, Department of Mathematics and General
Sciences, Department of Mathematics and General
Sciences, Nonlinear Analysis Research Group, Abstract:
We introduce in this article a new class of generalized metric spaces, called partial Smetric spaces. In addition, we also give some interesting results on fixed points in the partial Smetric spaces and some applications. Search and serve lasted 1 second(s). © 20042020 Austral Internet Publishing 