International Journal of Nonlinear Analysis and Applications

On certain coupled fixed point theorems via C-class functions in $S_b$-metric spaces with applications

Document Type : Research Paper

Authors

1 Department of Mathematics, Mahatma Gandhi University, Nalgonda, Telangana, India

2 Department of Mathematics, Sreenidhi Institute of Science and Technology, Ghatkesar, Hyderabad-501301,Telangana, India

3 Department of Mathematics, Dr.B.R. Ambedkar University, Srikakulam, Etcherla-532410, Andhra Pradesh, India

Abstract

In this study, the concept of C-class functions in the setup of Sb-metric spaces is introduced and common coupled fixed point theorems for these mappings in complete Sb-metric spaces which involve altering distance function and ultra altering distance functions are established. A few instances are given to support our major findings. We also provided an application for integral equations.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 9
September 2024
Pages 413-429
  • Receive Date: 18 February 2023
  • Revise Date: 27 July 2023
  • Accept Date: 17 August 2023