Orthogonal $ F $-contractions on $ O $-complete $ b $-metric space
Gunaseelan Mani, Arul Joseph Gnanaprakasam, Park Choonkil, Sungsik Yun
Abstract
<abstract> In this paper, we introduce the concepts of an orthogonal $ F $-contractive type mapping, an orthogonal Kannan $ F $-contractive type mapping and an orthogonal $ F $-expanding type mapping. We prove some fixed point theorems for these mappings in orthogonal complete $ b $-metric spaces. The obtained results generalize and extend some of the well known results in the literature. An example is presented to support our results. </abstract>
Topics & Concepts
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