New Multivalued Contractions and the Fixed-Circle Problem
Nihal Ta\c{s}, Nihal \"Ozg\"ur
TL;DR
This paper introduces new multivalued contraction mappings in metric spaces to address the fixed-circle problem, providing novel fixed-circle results and applications with illustrative examples.
Contribution
It presents new multivalued contraction concepts using Wardowski's techniques, advancing the understanding of fixed-circle problems in metric spaces.
Findings
New fixed-circle theorems for multivalued contractions
Applications to integral type contractions demonstrated
Illustrative examples validate the theoretical results
Abstract
In this paper, we focus on the fixed-circle problem on metric spaces by means of the multivalued mappings. We introduce new multivalued contractions using Wardowski's techniques and obtain new fixed-circle results related to multivalued contractions with some applications to integral type contractions. We verify the validity of our obtained results with illustrative examples.
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Taxonomy
TopicsFixed Point Theorems Analysis