
KCI등재
학술저널
Fixed point theorems for Monch type maps in abstract convex uniform spaces
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 34, No. 4
- : KCI등재
- 2021.11
- 345 - 353 (9 pages)
DOI : 10.14403/jcms.2021.34.4.345
In this paper, first, we present new fixed point theorems for Monch type multimaps on abstract convex uniform spaces and, also, a fixed point theorem for Monch type multimaps in Hausdorff KKM L\G-spaces. Second, we show that Monch type multimaps in the ’better’ admissible class defined on an L\G-space have fixed point properties whenever their ranges are Klee approximable. Finally, we obtain fixed point theorems on $\mathfrak {KC}$ maps whose ranges are Φ-sets.
1. Introduction and preliminaries
2. Fixed point theorems for Monch type maps
References