Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings

Habtu Zegeye; Eric U. Ofoedu; Naseer Shahzad

doi:10.1016/j.amc.2010.02.054

Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings

Habtu Zegeye, Eric U. Ofoedu, Naseer Shahzad

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article

74 Citations (Scopus)

Abstract

In this paper, we introduce an iterative process which converges strongly to a common element of set of common fixed points of countably infinite family of closed relatively quasi- nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for a γ-inverse strongly monotone mapping in Banach spaces. Our theorems improve, generalize, unify and extend several results recently announced.

Original language	English
Pages (from-to)	3439-3449
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	216
Issue number	12
DOIs	https://doi.org/10.1016/j.amc.2010.02.054
Publication status	Published - Aug 15 2010

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All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Cite this

Zegeye, H., Ofoedu, E. U., & Shahzad, N. (2010). Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings. Applied Mathematics and Computation, 216(12), 3439-3449. https://doi.org/10.1016/j.amc.2010.02.054

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10.1016/j.amc.2010.02.054