Journal article

A COMMON SOLUTION OF CONSTRAINED CONVEX MINIMIZATION PROBLEM, GENERALIZED EQUILIBRIUM PROBLEM AND FIXED POINT PROBLEM OF DIRECTED NONEXPANSIVE MAPPINGS


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Publication Details

Subtitle: A COMMON SOLUTION OF CCMP, GEP & FPPDNM

Author list: OREBONYE RAMATEBELE, MENGISTU GOA SANGAGO, ABEBE REGASSA TUFA

Publisher: SCIK Publishing Corporation

Publication year: 2026

Journal acronym: AFPT

Volume number: 16

Issue number: 16:8

Start page: 1

End page: 27

Number of pages: 27

ISSN: 1927-6303

URL: https://scik.org/index.php/afpt/article/view/9703



In this paper, we introduce an iterative algorithm that approximates a common solution of a constrained minimization problem of convex function, a generalized equilibrium problem involving averaged mapping, and
fixed point problem of a 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 2026-12-05 at 11:27