Summary: J. Math. Anal. Appl. 284 (2003) 656­671
www.elsevier.com/locate/jmaa
Fixed point and maximal element theorems with
applications to abstract economies and minimax
inequalities ,
Lai-Jiu Lin,a,
Zenn-Tsuen Yu,b
Qamrul Hasan Ansari,c
and
Li-Ping Lai a
a Department of Mathematics, National Changhua University of Education, Changhua 50058, Taiwan, ROC
b Department of Electrical Engineering, Nan-Kai College, Nantour 542, Taiwan, ROC
c Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India
Received 9 October 2002
Submitted by W.A. Kirk
Abstract
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 -condensing multivalued maps. As applications
of our results, we prove some general equilibrium existence theorems in the generalized abstract

Source: Ansari, Qamrul Hasan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals

Collections: Mathematics