New numerical scheme for solving integral equations via fixed point method using distinct (ω-F)-contractions

Abstract

In this paper, we introduce the notion of (ω-F)-contraction and presented fixed point results for such contractions. Thereafter, by using the technique of fixed point method, we propose a simple solution for a nonlinear integral equation. The effectiveness of this fixed point approach is illustrated by numerical example.

Keywords

• 26A33
• 34A08
• 34B24
• 39A70
• 47H10
• 54H25