JH$\im$-suboperator pairs with application to invariant approximation by using C-class functions

TL;DR

This paper introduces JH-μ-suboperator pairs using C-class functions, establishing fixed point theorems and invariant approximation results for non-commuting mappings, expanding the theoretical framework in fixed point theory.

Contribution

It develops a new class of JH-μ-suboperator pairs with C-class functions and applies them to invariant approximation, extending existing fixed point results.

Findings

Established fixed point theorems for JH-μ-suboperator pairs.

Introduced a new class of non-commuting self-mappings.

Provided applications to invariant approximation problems.

Abstract

In this paper, by using C-class functions some results and common fixed point theorems are established for generalized JH-operator pairs of Sintu- navarat and Kumam (Journal of Inequalities and Applications, 67 (2011), 10 pages, doi:10.1186/1029-242X-2011-67) . Also, a new class of non-commuting self-mappings as JH$\im$-suboperator pairs are introduced. Final, as applications, several invariant approximation results are discussed