Parallel and sequential hybrid methods for a finite family of asymptotically quasi $\phi$-nonexpansive mappings

TL;DR

This paper introduces new parallel and sequential hybrid algorithms to find common fixed points of a finite set of asymptotically quasi φ-nonexpansive mappings, extending previous theoretical results.

Contribution

It develops novel hybrid methods that improve upon existing algorithms for fixed point problems involving asymptotically quasi φ-nonexpansive mappings.

Findings

New hybrid algorithms for fixed point computation.

Extended theoretical results on convergence.

Applicable to a broader class of mappings.

Abstract

In this paper we study some novel parallel and sequential hybrid methods for finding a common fixed point of a finite family of asymptotically quasi $\phi$-nonexpansive mappings. The results presented here modify and extend some previous results obtained by several authors.