New Multivalued Contractions and the Fixed-Circle Problem

2019/11/05 by Taş, Nihal, Özgür, Nihal
#55M20 #FOS: Mathematics #Metric Geometry (math.MG) #Primary: 54H25 #Secondary: 47H10

paper · doi:10.48550/arxiv.1911.02939

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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