Preliminaries on best proximity points in cyclic multivalued mappings
M. De la Sen
TL;DR
This paper explores fixed points and best proximity points for multivalued cyclic mappings in metric spaces, introducing generalized contractive conditions involving Hausdorff distances to extend existing fixed point theory.
Contribution
It provides new fixed point results for multivalued cyclic mappings under generalized contractive conditions involving Hausdorff distances.
Findings
Established existence of best proximity points under new contractive conditions
Extended fixed point theory to multivalued cyclic mappings in metric spaces
Provided conditions ensuring convergence to best proximity points
Abstract
This paper investigates the fixed points and best proximity points of multivalued cyclic self-mappings in metric spaces under a generalized contractive condition involving Hausdorff distances.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFixed Point Theorems Analysis · Optimization and Variational Analysis