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

✍ Scribed by Lai-Jiu Lin; Wei-Shih Du

Publisher
Springer US
Year
2009
Tongue
English
Weight
185 KB
Volume
46
Category
Article
ISSN
0925-5001

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πŸ“œ SIMILAR VOLUMES

Fixed point and maximal element theorems
Fixed point and maximal element theorems with applications to abstract economies and minimax inequalities
✍ Lai-Jiu Lin; Zenn-Tsuen Yu; Qamrul Hasan Ansari; Li-Ping Lai πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 158 KB

In this paper, we establish some fixed point theorems for a family of multivalued maps under mild conditions. By using our fixed point theorems, we derive some maximal element theorems for a particular family of multivalued maps, namely the Ξ¦-condensing multivalued maps. As applications of our resul

From quasivariational inclusion problems
From quasivariational inclusion problems to Stampacchia vector quasiequilibrium problems, Stampacchia set-valued vector Ekeland’s variational principle and Caristi’s fixed point theorem
✍ Lai-Jiu Lin; Chih-Sheng Chuang; Sung-Yu Wang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 563 KB

In this paper, we first study existence theorems of solution for quasivariational inclusion problems. We apply existence theorems of solution for quasivariational inclusion problem to study the existence theorems of solution for the Stampacchia generalized vector quasiequilibrium problems and Stampa