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This is a Experimental Study study.

October 2, 2025

A Hybrid Algorithm for Solving Nonlinear Problems

Key Points

The algorithm ensures strong convergence for approximating solutions to nonlinear problems in Banach spaces.
A strong convergence theorem was proven, affirming the algorithm's reliability under specific mappings.
The approach integrates multiple mappings, which broadens its application to complex equilibrium problems.
Applications of the algorithm illustrate its utility in solving generalized nonlinear problems effectively.

Abstract

We construct an algorithm for the approximation of the common solution of the set of fixed points of a countable family of closed Bregman quasi-strict pseudo-contractive mappings; set of solutions of a finite system of a generalized mixed equilibrium problems and the set of h-fixed points of a finite family of h-pseudo-contractive mappings. A strong convergence theorem is proved for this algorithm in a reflexive (real) Banach space. An application is provided.

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Cite This Study

Ekuma-Okereke et al. (Fri,) studied this question.

synapsesocial.com/papers/68de84bf5b556a9128e1bb80 https://doi.org/https://doi.org/10.63561/jmns.v2i3.860