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Research Article Open access CC BY 4.0

Common Fixed Point Theorems for Commuting Self Maps in Banach Spaces via a Measure of Non-compactness

K. Piesie Frimpong

Advances in Research · pp. 146–154 · Published 27 Nov 2020

10.9734/air/2020/v21i1030261

Abstract

This paper provides common fixed point theorems for a commuting family of self mappings in Banach spaces via a measure of non-compactness. The choice of a commuting family of self maps provides a result that is unique in its own right, generalize Darbos fixed point theorem and specifically extend and improve the work of Meryeme El Harrak and Ahmed Hajji.

Fixed point commuting family common fixed point self maps measure of non-compactness banach space compact set.

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