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Title: From an Abstract Maximal Element Principle to Optimization Problems,
Stational Point Theorems and Common Fixed Point Theorems
Authors: Lai-Jiu Lin;Wei-Shih Du
Contributors: 數學系
Keywords: Sizing-up;μ-Bounded;Intersection theorem;Maximal element;Stationary
point theorem
;Fixed point theorem;Minimization problem;Dancš–Hegedüs–Medvegyev’s
principle
;Equilibrium theorem
Date: 2010-02
Issue Date: 2011-05-10T06:51:17Z
Publisher: Springer Verlag
Abstract: In this paper, we first establish an existence theorem related with intersection
theorem, maximal element theorem and common fixed point theorem for multivalued maps
by applying an abstract maximal element principle proved by Lin and Du. Some new stationary
point theorems, minimization problems, new fixed point theorems and a system of
nonconvex equilibrium theorem are also given.
Relation: Journal of Global Optimization, 46(2):261-271
Appears in Collections:[math] Periodical Articles

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