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Cyclic p-$φ$-contraction mappings

Seyyed Mohammad Sadegh Nabavi Sales

Abstract

Weintroduce a new class of mappings called cyclic p-$φ$-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.

Cyclic p-$φ$-contraction mappings

Abstract

Weintroduce a new class of mappings called cyclic p--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.
Paper Structure (5 sections, 17 theorems, 108 equations)

This paper contains 5 sections, 17 theorems, 108 equations.

Table of Contents

  1. Introduction and Preliminaries
  2. Notion of cyclic $p$-$\varphi$-contraction mapping
  3. General metric spaces
  4. Uniformly convex Banach spaces
  5. Reflexive Banach spaces

Key Result

Theorem 2.1

as $n\to\infty$.

Theorems & Definitions (37)

  • Definition 1.1
  • Remark 1.2
  • Theorem 2.1
  • proof
  • Theorem 2.2
  • proof
  • Remark 2.3
  • Theorem 2.4
  • proof
  • Theorem 2.5
  • ...and 27 more