2006Journal of Chongqing Institute of TechnologyRequires access

On a Theorem of the Variational Inequality and Optimization of Fixed Point

Jiao He-hua

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Abstract

Based on the theorem 12 in the literature [2],a necessary condition that a fixed point becomes an optimal resolution is obtained.Furthermore,this theorem is generalized to the case of pseudo-semi-E-convex function and quasi-semi-E-convex function and the extent of its usage is enlarged.

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What this paper is about

Based on the theorem 12 in the literature [2],a necessary condition that a fixed point becomes an optimal resolution is obtained.Furthermore,this theorem is generalized to the case of pseudo-semi-E-convex function and quasi-semi-E-convex function and the extent of its usage is enlarged.

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Available abstract

Based on the theorem 12 in the literature [2],a necessary condition that a fixed point becomes an optimal resolution is obtained.Furthermore,this theorem is generalized to the case of pseudo-semi-E-convex function and quasi-semi-E-convex function and the extent of its usage is enlarged.

Key concepts: Fixed-point theorem, Mathematics, Danskin's theorem, Kakutani fixed-point theorem, Variational inequality, Brouwer fixed-point theorem, Regular polygon, Fixed point

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