Communications of the Korean Mathematical Society (대한수학회논문집)

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COMMON FIXED POINT RESULTS FOR GENERALIZED ORTHOGONAL F-SUZUKI CONTRACTION FOR FAMILY OF MULTIVALUED MAPPINGS IN ORTHOGONAL b-METRIC SPACES

  • Leyew, Bahru Tsegaye (School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal and Department of Mathematics College of Natural and Computational Sciences Addis Ababa Univeristy) ;
  • Mewomo, Oluwatosin Temitope (School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal)
  • Received : 2021.12.06
  • Accepted : 2022.02.25
  • Published : 2022.10.01
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Abstract

In this paper, we introduce a new class of mappings called the generalized orthogonal F-Suzuki contraction for a family of multivalued mappings in the setup of orthogonal b-metric spaces. We established the existence of some common fixed point results without using any commutativity condition for this new class of mappings in orthogonal b-metric spaces. Moreover, we illustrate and support these common fixed point results with example. The results obtained in this work generalize and extend some recent and classical related results in the existing literature.

Keywords

Acknowledgement

The research of the first author is wholly supported by the University of KwaZulu-Natal, Durban, South Africa Postdoctoral Fellowship. He is grateful for the funding and financial support.

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