3D analysis of modified <em>F</em>-contractions in convex b-metric spaces with application to Fredholm integral equations

Abstract

The article defines F-Reich contraction while eliminating the condition (F3) and (F4) of F-contraction of Nadler type defined by Cosentino and using generalized Mann’s iteration algorithm, some interesting theorems are developed in the setting of convex b-metric spaces. Example are stated in support of our proved results and application of our results in finding solution point to Fredholm Integral equation of the second kind are given.

Keywords

• convex structure
• convex b-metric space
• mann’s iteration
• fredholm integral equation
• <i>f</i>-reich contraction