학술저널
FIXED POINTS OF COUNTABLY CONDENSING MULTIMAPS HAVING CONVEX VALUES ON QUASI-CONVEX SETS
FIXED POINTS OF COUNTABLY CONDENSING MULTIMAPS HAVING CONVEX VALUES ON QUASI-CONVEX SETS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 36, No. 4
-
2023.11279 - 288 (10 pages)
-
DOI : 10.14403/jcms.2023.36.4.279
- 0
We obtain a Chandrabhan type fixed point theorem for a multimap having a non-compact domain and a weakly closed graph, and taking convex values only on a quasi-convex subset of Hausdorff locally convex topological vector space. We introduce the definition of Chandrabhan-set and find a sufficient condition for every countably condensing multimap to have a relatively compact Chandrabhan-set. Finally, we establish a new version of Sadovskii fixed point theorem for multimaps.
1. Introduction and preliminaries
2. Chandrabhan-sets and fixed point theorems
3. Fixed point theorems for countably condensing maps
4. Sadovskii type theorem
References
(0)
(0)