From an abstract maximal element principle to optimization problems, stationary point theorems and common fixed point theorems

被引：7
|
作者：
Lin, Lai-Jiu [1 ]
Du, Wei-Shih [2 ]
机构：
[1] Natl Changhua Univ Educ, Dept Math, Changhua 50058, Taiwan
[2] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 802, Taiwan
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2010年 / 46卷 / 02期
关键词：
Sizing-up; mu-Bounded; Intersection theorem; Maximal element; Stationary point theorem; Fixed point theorem; Minimization problem; Dancs-Hegedus-Medvegyev's principle; Equilibrium theorem; EKELANDS VARIATIONAL PRINCIPLE; COMPLETE METRIC SPACE; ORDERED SETS; EXISTENCE; EQUILIBRIA;
D O I：
10.1007/s10898-009-9423-1
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
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.
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页码：261 / 271
页数：11
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