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20212026
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math.FA2026

Strong convergence for countable generalized Bregman nonexpansive-type mappings with equilibrium and variational inequality constraints

Markjoe O. Uba

We develop a Legendre--Bregman outer-approximation method for a common-solution problem in a uniformly smooth and uniformly convex Banach space. The constraint system consists of c…

math.FA2026

Perturbation-resilient inertial Krasnosel'skii-type hybrid retractions for generalized nonexpansive mappings

Markjoe O. Uba

Let $\E$ be a uniformly smooth and uniformly convex real Banach space. We study an inertial hybrid retraction method for a countable sequence of mappings satisfying the NST-conditi…

math.FA2026

A viscosity-Halpern hybrid scheme for countable families of equilibrium and variational inequality problems

Markjoe O. Uba

Let be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space with dual space . We introduce a viscosity-Halpern hybrid pro…

math.FA2026

A hybrid method for countable equilibrium, variational inequality and maximal monotone inclusion problems with fixed point constraints

Markjoe O. Uba

Let be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space with dual space . We introduce a hybrid projection method for…

math.FA2025

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

Peter U. Nwokoro, Maria A. Onyido, Markjoe O. Uba +1

Let be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space with dual space . This article presents a h…

math.FA2021

New Method for Computing zeros of monotone maps in Lebesgue spaces with applications to integral equations, fixed points, optimization, and variational inequality problems

Abdulmalik U. Bello, Markjoe O. Uba, Michael T. Omojola +2

Let and be a bounded monotone map such that . In this paper, we introduce and study an algorithm for approximating zeros of …

math.FA2021

A hybrid scheme for fixed points of a countable family of generalized nonexpansive-type maps and finite families of variational inequality and equilibrium problems, with applications

Markjoe O. Uba, Maria A. Onyido, Cyril I. Udeani +1

Let be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space with dual space . We present a novel hybrid method for finding…