Volume 4,  Issue 1, 2003

Article 18

SECOND-ORDER DIFFERENTIAL PROXIMAL METHODS FOR EQUILIBRIUM PROBLEMS

A. MOUDAFI

UNIVERISTÉ ANTILLES GUYANE, GRIMAAG, DÉPARTEMENT SCIENTIFIQUE 
INTERFACULTAIRE, 97200 SCHOELCHER, 
MARTINIQUE, FRANCE.
E-Mail: abdellatif.moudafi@martinique.univ-ag.fr

Received 08 October, 2002; Accepted 28 January, 2003.
Communicated by: D. Bainov

ABSTRACT.   An approximate procedure for solving equilibrium problems is proposed and its convergence is established under natural conditions. The result obtained in this paper includes, as a special case, some known results in convex minimization and monotone inclusion fields.
Key words:
Equilibrium, Proximal method, Minimization, Monotone inclusion.

2000 Mathematics Subject Classification:
Primary 90C25; Secondary 49M45, 65C25.

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Comparison of Green Functions for Generalized Schrödinger Operators on C1,1-Domains
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Erdős-Turán Type Inequalities
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Some Variants of Anderson's Inequality in C1-Classes
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