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- Title
Hybrid Proximal-Point Methods for Common Solutions of Equilibrium Problems and Zeros of Maximal Monotone Operators.
- Authors
Ceng, L. C.; Mastroeni, G. C.; Yao, J. C.
- Abstract
The purpose of this paper is to introduce and study two hybrid proximal-point algorithms for finding a common element of the set of solutions of an equilibrium problem and the set of solutions to the equation 0∈ Tx for a maximal monotone operator T in a uniformly smooth and uniformly convex Banach space X. Strong and weak convergence results of these two hybrid proximal-point algorithms are established, respectively.
- Subjects
EQUILIBRIUM; MONOTONE operators; ALGORITHMS; BANACH spaces; STOCHASTIC convergence; HILBERT space; NONEXPANSIVE mappings
- Publication
Journal of Optimization Theory & Applications, 2009, Vol 142, Issue 3, p431
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-009-9538-z