On a Theorem of the Variational Inequality and Optimization of Fixed Point
Jiao He-hua
Abstract
Jiao He-hua
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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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