A hybrid scheme for fixed points of a countable family of generalized non-expansive-type maps and generalized mixed equilibrium problems

2025/09/27 by Peter U. Nwokoro, Maria A. Onyido, Nwokoro, Peter U. +5
Computer Science · Mathematics · Economics, Econometrics and Finance · #Optimization and Variational Analysis #Fixed Point Theorems Analysis #Economic theories and models

paper · pdf · doi:10.48550/arxiv.2509.23076

Abstract

Let Ω be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space X with dual space X^*. This article presents a hybrid algorithm for finding a common element of the set of solutions to a generalized mixed equilibrium problem and the set of common fixed points of a family of a general class of nonlinear nonexpansive maps. The results obtained were employed to study optimization problem. Our results and its applications complement, generalize, and extend several results in literature.

Citations

• New Method for Computing zeros of monotone maps in Lebesgue spaces with applications to integral equations, fixed points, optimization, and variational inequality problems
• Metric and Generalized Projection Operators in Banach Spaces: Properties\n and Applications

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