✦ LIBER ✦

Fixed point and maximal element theorems with applications to abstract economies and minimax inequalities

✍ Scribed by Lai-Jiu Lin; Zenn-Tsuen Yu; Qamrul Hasan Ansari; Li-Ping Lai

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 158 KB
Volume: 284
Category: Article
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00385-8

No coin nor oath required. For personal study only.

✦ Synopsis

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 Φ-condensing multivalued maps. As applications of our results, we prove some general equilibrium existence theorems in the generalized abstract economies with preference correspondences. Further applications of our results are also given to minimax inequalities for a family of functions.

📜 SIMILAR VOLUMES

Coincidence and maximal element theorems

Coincidence and maximal element theorems and their applications to generalized equilibrium problems and minimax inequalities

✍ Mircea Balaj 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 286 KB

In this paper we obtain first a very general coincidence theorem. From this we derive a new coincidence theorem and two alternative theorems concerning existence of maximal elements. Applications of these results to generalized equilibrium problems and minimax inequalities are given in the last sect

Fixed points, coincidence points and max

Fixed points, coincidence points and maximal elements with applications to generalized equilibrium problems and minimax theory

✍ Mircea Balaj; Lai-Jiu Lin 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 590 KB

Fixed points, minimax inequalities and e

Fixed points, minimax inequalities and equilibria of noncompact abstract economies in FC -spaces

✍ Xie Ping Ding; Lei Wang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 372 KB

New fixed-point theorems for two maps an

New fixed-point theorems for two maps and applications to problems on sets with convex sections and minimax inequalities

✍ K.Q. Lan 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 774 KB

New fixed-point theorems for two maps defined on product spaces are obtained. These new results only require one of them to satisfy a noncompactness condition. Previous results required each map to satisfy a noncompactness condition. Applications of our results are given to intersection problems for

Generalization of Ky Fan's Minimax Inequ

Generalization of Ky Fan's Minimax Inequality with Applications to Generalized Variational Inequalities for Pseudo-Monotone Operators and Fixed Point Theorems

✍ Mohammad S.R. Chowdhury; Kok-Keong Tan 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 232 KB

Generalizations of the FKKM theorem and

Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity

✍ Guoqiang Tian 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 855 KB