Fixed point theorems on S-metric spaces for generalized F-contraction and application

Abstract

Under the context of complete S-metric spaces, we establish certain fixed point theorems for generalized F-contraction of Khan type [4], Meir-Keeler type [10], and Meir-Keeler-Khan type [9]. We also provide some corollaries of the obtained findings. We also present an instance scenario to validate the findings. A novel fixed-circle solution is presented as an application on S-metric spaces through the use of generalized modified C-Khan type F-contraction. The findings presented in this work expand upon, broaden, and enhance a number of earlier findings from the body of current literature.