Iterative Schemes for Generalized Equilibrium Problem and Two Maximal Monotone Operators | Zendy

LC Zeng | Zendy; Yen-Cherng Lin | Zendy; JC Yao | Zendy

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Iterative Schemes for Generalized Equilibrium Problem and Two Maximal Monotone Operators

Author(s) -

LC Zeng,

Yen-Cherng Lin,

JC Yao

Publication year - 2009

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/2009/896252

Subject(s) - mathematics , monotone polygon , pure mathematics , mathematical optimization , discrete mathematics , algebra over a field , geometry

The purpose of this paper is to introduce and study two new hybrid proximal-point algorithms for finding a common element of the set of solutions to a generalized equilibrium problem and the sets of zeros of two maximal monotone operators in a uniformly smooth and uniformly convex Banach space. We established strong and weak convergence theorems for these two modified hybrid proximal-point algorithms, respectively

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