Paper's Title:

Optimal Conditions using Multi-valued G-Presic type Mapping

Author(s):

Deb Sarkar, Ramakant Bhardwaj, Vandana Rathore, and Pulak Konar

Department of Mathematics, Amity
University, Kadampukur, 24PGS(N), Kolkata, West Bengal, 700135,
India.
E-mail: debsarkar1996@gmail.com

Department of Mathematics, Amity
University, Kadampukur, 24PGS(N), Kolkata, West Bengal, 700135,
India.
E-mail: drrkbhardwaj100@gmail.com

School of Engineering and Technology,
Jagran Lakecity University, Bhopal, MP-462044,
India.
E-mail: drvandana@jlu.edu.in

Department of Mathematics,
VIT University, Chennai, Tamil Nadu-600127,
India.
E-mail: pulakkonar@gmail.com

Abstract:

In the present paper, some best proximity results have been presented using the concept of G-Presic type multi-valued mapping. These results are the extensions of Presic's theorem in the non-self mapping. A suitable example has also been given. Here, some applications are presented in θ-chainable space and ordered metric space.

Paper's Title:

Fixed Point Results for Integral Type Contractions in R-Metric Space

Author(s):

Samriddhi Ghosh, Ramakant Bhardwaj, Ritu Shrivastava, Vandana Rathore, Satyendra Narayan

Department of Mathematics,
Amity University, Kolkata, West Bengal,
India.
E-mail: ritha98@gmail.com

Department of Mathematics,
Amity University, Kolkata, West Bengal,
India.
E-mail: drrkbhardwaj100@gmail.com

Department of Mathematics,
Bahrain Polytechnic, Isa Town,
Kingdom of Bahrain
E-mail: ritu.shrivastava@polytechnic.bh

Faculty of Science and Technology,
Jagran Lakecity University, Bhopal, Madhya Pradesh,
India.
E-mail: drvandana@jlu.edu.in

School of Computer Science and Technology,
Algoma University, Brampton, Ontario,
Canada.
E-mail: narayan.satyendra@gmail.com

Abstract:

The main aim of the research is to establish some invariant point (fixed point) results under the purview of R-Metric Spaces, for integral type R-contractive mappings. To serve this purpose, concepts of R-continuity, R-convergence and R-preservation has been used. Finally, the obtained results has been used to deduce some invariant point results for Banach, Kannan and Chatterjea type mappings in R-Metric Space. Also some examples and applications have been illustrated to support the findings discussed.

Paper's Title:

Results Concerning Fixed Point for Soft Weakly Contraction In Soft Metric Spaces

Author(s):

Abid Khan, Santosh Kumar Sharma, Anurag Choubey, Girraj Kumar Verma, Umashankar Sharma, Ramakant Bhardwaj

Department of Mathematics,
AUMP, Gwalior,
India.
abid69304@gmail.com

Department of Mathematics,
AUMP, Gwalior,
India.
sksharma1@gwa.amity.edu

Department of Computer Science,
Technocrats Institute of Technology,
Bhopal, MP,
India.
directoracademicstit@gmail.com

Department of Mathematics,
AUMP, Gwalior,
India.
gkverma@gwa.amity.edu

Department of Physics,
RJIT BSF Tekanpur, MP,
India.
ussharma001@gmail.com

School of Applied Science
AUK, WB,
India.
rkbhardwaj100@gmail.com

Abstract:

The basic objective of the proposed research work is to make people acquainted with the concept of soft metric space by generalizing the notions of soft (ψ,φ)-weakly contractive mappings in soft metric space, as well as to look at specific fundamental and topological parts of the underlying spaces. A compatible example is given to explain the idea of said space structure. The theory is very useful in decision making problems and secure transmission as fixed point provides exact output. The fixed-point theorems on subsets of R^m that are useful in game theoretic settings.

Paper's Title:

SQIRV Model for Omicron Variant with Time Delay

Author(s):

S. Dickson, S. Padmasekaran, G. E. Chatzarakis and S. L. Panetsos

Mathematics, Periyar University, Periyar Palkalai Nagar, Salem,
636011, Tamilnadu,
India.
E-mail: dickson@periyaruniversity.ac.in, padmasekarans@periyaruniversity.ac.in

Electrical and Electronic Engineering Educators, School of
Pedagogical and Technological Education (ASPETE),
Marousi 15122, Athens,
Greece.
E-mail: geaxatz@otenet.gr, spanetsos@aspete.gr

Abstract:

In order to examine the dynamics of the Omicron variant, this paper uses mathematical modelling and analysis of a SQIRV model, taking into account the delay in the conversion of susceptible individuals into infected individuals and infected individuals into recovered individuals. The pandemic was eventually controlled as a result of the massive delays. To assure the safety of the host population, this concept incorporates quarantine and the COVID-19 vaccine. Both local and global stability of the model are examined. It is found that the fundamental reproduction number affects both local and global stability conditions. Our findings show that asymptomatic cases caused by an affected population play an important role in increasing Omicron infection in the general population. The most recent data on the pandemic Omicron variant from Tamil Nadu, India, is verified.

Paper's Title:

Random Fixed Point Result in Banach Space

Author(s):

¹Anwesha Ghorai, ²Samriddhi Ghosh, ³Sneha Khandait, ⁴Aditya Ghosh, ⁵Ramakant Bhardwaj, ⁶Satyendra Narayan

¹Department of Mathematics,
Amity University, Kolkata, West Bengal,
India^.
E-mail: anweshaghorai596@gmail.com

²Department of Mathematics,
Amity University, Kolkata, West Bengal, India.
E-mail: ritha98@gmail.com

³Engineering Science and Humanities department,
Thakur College of Engineering and Technology, Mumbai, Maharashtra,
India.
E-mail: sneha.khandait@tcetmumbai.in

⁴Department of Mathematics,
Amity University, Kolkata, West Bengal,
India.
E-mail: ghosh.aditya.iitg08@gmail.com

⁵Department of Mathematics,
Amity University, Kolkata, West Bengal,
India.
E-mail: drrkbhardwaj@gmail.com

⁶School of Computer Science and Technology,
Algoma University, Brampton, Ontario,
Canada.
E-mail: narayan.satyendra@gmail.com

Abstract:

The present paper deals with an extension of classical fixed point theory using random variable for advancement because it has far-reaching applications in calculus, optimization, and stochastic processes. However, many nonlinear operators arise in applied mathematics which do not fulfill the strict contraction conditions of the classical Banach principle. This limitation has inspired the development of generalized non-contractive mappings. New generalized contractive-type conditions for random operators in a complete probability measure space as well as Banach space are established. The proposed conditions incorporate nonlinear, fractional, and minimum-type terms. Random fixed point theorem are proved for rational inequalities. These results not only generalize existing theorems, but also contribute to further development of functional analysis and its applications in mathematical modeling.

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