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

نویسندگان
Parkala, Naresh ID 1
Gujjula, Upender Reddy ID 2
Bagathi, Srinuvasa Rao ID 3

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

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

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

doi
10.22075/ijnaa.2023.29959.4302
چکیده

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.

کلیدواژه‌ها
C-class functions, Coupled fixed point, complete Sb-metric spaces and ω-compatible mappings