## Taiwanese Journal of Mathematics

### SOME FIXED-POINT THEOREMS ON AN ALMOST G-CONVEX SUBSET OF A LOCALLY G-CONVEX SPACE AND ITS APPLICATIONS

Chi-Ming Chen

#### Abstract

In this paper, we first obtain the generalizations of the almost fixed point theorems on the almost $G$-convex sets and the Himmelberg fixed point theorems on a locally G-convex space. Next, we invoke non-convexity of constraint regions in place of convexity and we obtain the new fixed point theorems, "Let $X$ be an almost $G$-convex subset of a locally $G$-convex space $E$. If $T \in \Gamma^* - KKM(X,X)$ is compact and closed, then $T$ has a fixed point."

#### Article information

Source
Taiwanese J. Math., Volume 10, Number 3 (2006), 797-805.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500403861

Digital Object Identifier
doi:10.11650/twjm/1500403861

Mathematical Reviews number (MathSciNet)
MR2206328

Zentralblatt MATH identifier
1110.47041

#### Citation

Chen, Chi-Ming. SOME FIXED-POINT THEOREMS ON AN ALMOST G-CONVEX SUBSET OF A LOCALLY G-CONVEX SPACE AND ITS APPLICATIONS. Taiwanese J. Math. 10 (2006), no. 3, 797--805. doi:10.11650/twjm/1500403861. https://projecteuclid.org/euclid.twjm/1500403861

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