An Inertial scheme for approximating the solutions of pseudo-monotone equilibrium and common fixed point problems in Banach spaces

Applied Set-Valued Analysis and Optimization · 2025

In this paper, we propose a new iterative method for approximating a common solution of pseudo-monotone equilibrium problems and common fixed point problems of Bregman quasi-nonexpansive mappings in a p-uniformly convex and uniformly smooth Banach space.Under some weaker conditions, we obtain a strong convergence result.A variational inequality problem is also considered.We present numerical examples to illustrate and support our main convergence theorem.

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