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:

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.

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