Gradient Approach of Computing Fixed Points of Equilibrium Problems

Authors:
Anatoly Antipin
Affiliations:
Computing Center of Russian Academy of Sciences, Vavilov Str. 40, 117967 Moscow, Russia (e-mail: antipin@ccas.ru)
Venue:
Journal of Global Optimization
Year:
2002

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Abstract

Potential equilibrium problems are considered. The notions of bilinear differential and bi-convexity are introduced. The concept of generalized potentiality is offered. The convergence of gradient prediction-type methods for solving of generalized potential equilibrium problems is justified. Estimates of convergence rate are derived.