


Paper's Title:
Fractional class of analytic functions Defined Using qDifferential Operator
Author(s):
K . R. Karthikeyan, Musthafa Ibrahim and S. Srinivasan
Department of Mathematics and
Statistics,
Caledonian College of Engineering, Muscat,
Sultanate of Oman.
Email: kr_karthikeyan1979@yahoo.com
College of Engineering,
University of Buraimi, Al Buraimi,
Sultanate of Oman.
Email: musthafa.ibrahim@gmail.com
Department of Mathematics, Presidency
College (Autonomous),
Chennai600005, Tamilnadu,
India.
Abstract:
We define a qdifferential fractional operator, which generalizes Salagean and Ruscheweyh differential operators. We introduce and study a new class of analytic functions involving qdifferential fractional operator. We also determine the necessary and sufficient conditions for functions to be in the class. Further, we obtain the coefficient estimates, extreme points, growth and distortion bounds.
Paper's Title:
Characterization of Caristi Type Mapping Through its Absolute Derivative
Author(s):
M. Muslikh^{1}, A. Kilicman^{2,3}, S. H. Sapar^{4} and N. Bacho^{5}
^{1}Department of Mathematics,
University of Brawijaya,
Malang 65143, East Java,
Indonesia.
Email: mslk@ub.ac.id
^{2}Department of Mathematics,
Universiti Putra Malaysia,
43400 UPM, Serdang, Selangor,
Malaysia
Email: akilic@upm.edu.my
^{3}Department of Electrical and Electronic Engineering,
Istanbul Gelisim University,
Avcilar, Istanbul,
Turkey
^{4}Department of Mathematics,
Universiti Putra Malaysia,
43400 UPM, Serdang, Selangor,
Malaysia
Email: sitihas@upm.edu.my
^{5}Department of Mathematics,
Universiti Putra Malaysia,
43400 UPM, Serdang, Selangor,
Malaysia
Email: norfifah@upm.edu.my
Abstract:
The purpose of this article to characterize the Caristi type mapping by the absolute derivative. The equivalences of the Caristi mapping with contraction mapping is discussed too. In addition, it was shown that the contraction mapping can be tested through its absolute derivative.
Paper's Title:
Some criteria for Subspacehypercyclicity of C_{0}semigroups
Author(s):
Mansooreh Moosapoor
Department of Mathematics,
Farhangian University, Tehran,
Iran.
Email: m.mosapour@cfu.ac.ir
mosapor110@gmail.com
Abstract:
We research subspacehypercyclic C_{0}semigroups in this paper. We present various types of subspacehypercyclicity criteria for C_{0}semigroups. Some of them are stronger than the criteria introduced before. Also, we state that if a C_{0}semigroup (T_{t}}_{t≥ 0} satisfies in any of them, then (T_{t}⊕T_{t}}_{t≥ 0} is subspacehypercyclic.
Paper's Title:
Some Double λConvergent Sequence Spaces Over nNormed Spaces
Author(s):
Kuldip Raj, Renu Anand and Seema Jamwal
School of Mathematics,
Shri Mata Vaishno Devi University Katra182320,
Jammu and Kashmir,
India.
Email: kuldipraj68@gmail.com, renuanand71@gmail.com, seemajamwal8@gmail.com
Abstract:
In this paper we introduce some double generalized λconvergent sequence spaces over nnormed spaces defined by MusielakOrlicz function M = (M_{k,l}). We also made an attempt to study some topological and algebraic properties of these sequence spaces.
Paper's Title:
On SubspaceSupercyclic Operators
Author(s):
Mansooreh Moosapoor
Assistant Professor,
Department of Mathematics,
Farhangian University, Tehran,
Iran.
Email: mosapor110@gmail.com
m.mosapour@cfu.ac.ir
Abstract:
In this paper, we prove that supercyclic operators are subspacesupercyclic and by this we give a positive answer to a question posed in ( L. Zhang, Z. H. Zhou, Notes about subspacesupercyclic operators, Ann. Funct. Anal., 6 (2015), pp. 6068). We give examples of subspacesupercyclic operators that are not subspacehypercyclic. We state that if T is an invertible supercyclic operator then T^{n} and T^{n} is subspacesupercyclic for any positive integer n. We give two subspacesupercyclicity criteria. Surprisingly, we show that subspacesupercyclic operators exist on finitedimensional spaces.
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