FIXED POINTS OF COUNTABLY CONDENSING MULTIMAPS HAVING CONVEX VALUES ON QUASI-CONVEX SETS

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 con...

Full description

Saved in:
Bibliographic Details
Published in충청수학회지 Vol. 36; no. 4; pp. 279 - 288
Main Author 김훈주(Hoonjoo Kim)
Format Journal Article
LanguageKorean
Published Chungcheong Mathematical Society 30.11.2023
충청수학회
Subjects
fixed point
quasi-convex
almost convex
Chandrabhan-set
weakly closed graph
M¨onch-set
countably condensing multimap
Monch-set
Online AccessGet full text
ISSN1226-3524

Cover

More Information
Summary: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.
Bibliography:KISTI1.1003/JNL.JAKO202335243220154
ISSN:1226-3524