• Korean Journal of Mathematics
• /
• v.10 no.1
• /
• pp.19-23
• /
• 2002

Let X be a Banach space satisfying Opial's condition, C a weakly compact convex subset of $X,F:C{\rightarrow}X$ a nonexpansive map, and let $G:C{\rightarrow}X$ be a compact and demiclosed map. We prove that F + G has a fixed point in C if $F+G:C{\rightarrow}X$ is a weakly inward map.

• Bulletin of the Korean Mathematical Society
• /
• v.40 no.4
• /
• pp.577-581
• /
• 2003

Some random fixed point theorems for weakly inward multivalued random maps are obtained in Banach spaces.

• Journal of the Korean Mathematical Society
• /
• v.34 no.3
• /
• pp.719-730
• /
• 1997

From a minimax inequality related to admissible multimaps, we deduce generalized versions of lopsided saddle point theorems, fixed point theorems, existence of maximizable linear functionals, the Walras excess demand theorem, and the Gale-Nikaido-Debreu theorem.