On Invariant Approximations in Modular Spaces

Nadia Jasim  Mohammed; Salwa Salman  Abed

doi:10.24996/ijs.2021.62.9.25

Authors

Nadia Jasim Mohammed Department of Mathematic, College of Education for Pure Sciences, Ibn Al-Haitham, University of Baghdad, Iraq
Salwa Salman Abed Department of Mathematic, College of Education for Pure Sciences, Ibn Al-Haitham, University of Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.9.25

Keywords:

Banach operator pair, best approximation, fixed point, modular space, non-expansive mappings

Abstract

This article is devoted to presenting results on invariant approximations over a non-star-shsped weakly compact subset of a complete modular space by introduced a new notion called S-star-shaped with center f: if be a mapping and , . Then the existence of common invariant best approximation is proved for Banach operator pair of mappings by combined the hypotheses with Opial’s condition or demi-closeness condition