C-class functions on some fixed point results of integral type and applications

TL;DR

This paper establishes new fixed point results for integral type Suzuki mappings using C-class functions, generalizing previous results, and applies these findings to prove the existence of solutions for certain integral equations.

Contribution

It introduces novel fixed point theorems for integral type mappings involving C-class functions, extending prior work in the field.

Findings

Fixed point results for Suzuki-type mappings established

Generalization of previous fixed point theorems

Existence of solutions for integral equations proved

Abstract

In this paper, by using C-class functions [4] for integral type of Suzuki-type mappings, some fixed point results are established on a metric space that gener- alize the results of Aleomraninejad and Shokouhnia [Adv. Fixed Point Theory, 5 (2015), No. 1, 101-109]. As an application, the existence of a continuous solution for an integral equation is obtained.