Abstract

Some common fixed point results for Banach operator pairs in strongly M-starshaped metric spaces are obtained. As application, invariant approximation theorems are derived.

Highlights

  • Introduction and preliminariesWe first review needed definitions

  • A strongly convex metric space is said to be a metric space of hyperbolic type

  • Every normed space X is a strongly convex metric space with W defined by W (x, q, λ) = λx + ( – λ)q for all x, q ∈ X and all λ ∈ J

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Summary

Introduction

Introduction and preliminariesWe first review needed definitions. Let X be a metric space with metric d, M ⊂ X and J = [ , ]. Invariant approximation results for commuting maps due to Al-Thagafi [ ] extended and generalized Theorems .

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