Fixed Point Theorems,Matching Theorems and Whole Intersection Theorems on Abstract Convex Spaces
Piao Yong-jie
Abstract
Piao Yong-jie
Abstract
convex space,which is adequate to establish the KKM theory,and then another type of coincidence theorem was given via obtained fixed point theorem. These results generalize and simplify the corresponding known results in the KKM theory on convex spaces,H-spaces,G-convex spaces,and others.
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convex space,which is adequate to establish the KKM theory,and then another type of coincidence theorem was given via obtained fixed point theorem. These results generalize and simplify the corresponding known results in the KKM theory on convex spaces,H-spaces,G-convex spaces,and others.
Key concepts: Mathematics, Fixed-point theorem, Intersection (aeronautics), Regular polygon, Kakutani fixed-point theorem, Coincidence point, Pure mathematics, Convex set