不具单调性的均衡系统问题的解的存在性

Abstract

Abstract:

In this paper, the authors introduce and study systems of equilibrium problems without monotonicity. By using Brouwer fixed point theorem, the authors obtain an existence theorem in the setting of finite dimensional spaces. In the case of infinite dimensional spaces, the authors introduce the definition of (S)_{+-} condition for a family of functions and prove the existence of solutions to systems of equilibrium problems based on (S)_{+-} conditions.

Key words: System of equilibrium problems, System of variational inequalities, (S)_{+-} , condition; , Existence

CLC Number:

49J40

FANG E-Beng, HUANG Na-Jing. Existence of Solutions to Systems of Equilibrium Problems Without Monotonicity[J].Acta mathematica scientia,Series A, 2005, 25(6): 763-769.

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Existence of Solutions to Systems of Equilibrium Problems Without Monotonicity

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