Subordinate Semimetric Spaces and Fixed Point Theorems

José Villa-Morales

Journal of Mathematics, 2018, vol. 2018, 1-5

Abstract:

We introduce the concept of subordinate semimetric space. Such notion includes the concept of RS-space introduced by Roldán and Shahzad; therefore the concepts of Branciari’s generalized metric space and Jleli and Samet’s generalized metric space are particular cases. For such spaces we prove a version of Matkowski’s fixed point theorem, and introducing the concept of -contraction we get a fixed point theorem of Kannan-Ćirić type. Moreover, using such result we characterize complete subordinate semimetric spaces.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7856594

DOI: 10.1155/2018/7856594

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