Cyclic p-$\phi$-contraction mappings

TL;DR

This paper introduces a new class of cyclic p-$$-contraction mappings and studies their fixed point properties in various types of metric and Banach spaces.

Contribution

The paper defines cyclic p-$$-contraction mappings and establishes fixed point existence and uniqueness results for these mappings in different Banach space settings.

Findings

Fixed point existence for cyclic p-$$-contraction mappings.

Uniqueness of fixed points under certain conditions.

Applicability to uniformly convex and reflexive Banach spaces.

Abstract

Weintroduce a new class of mappings called cyclic p-$\phi$-contraction mappings and investigate the existence and uniqueness of fixed point for such mappings defined on metric spaces, uniformly convex Banach spaces, or reflex ive Banach spaces.