Journal article

Viscosity approximation of a common solution of fixed point, generalized equilibrium and constrained convex minimization problems


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Subtitle: Viscosity approximation of a common solution

Author list: Mengistu Goa Sangago, Timotewos Tone Dana and Wondimu Woldie Kassu

Publisher: SCIK Publishing Corporation

Publication year: 2025

Journal acronym: AFPT

Volume number: 15

Issue number: 19

Start page: 1

End page: 25

Number of pages: 25

ISSN: 1927-6303

URL: https://scik.org/index.php/afpt/article/view/9257



In this paper, we introduce a viscosity iterative algorithm that approximates a common solution of constrained convex minimization problem, a generalized equilibrium problem involving averaged mapping and fixed point problem of directed nonexpansive mapping. We prove the strong convergence of the proposed iterative algorithm to a common solution that satisfies a variational inequality under some suitable conditions on the parameters. It generalizes the familiar gradient-projection algorithm for convex minimization problem. This result improves and extends some recent results in the literature.


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Last updated on 2026-18-05 at 10:37