Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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SOME FIXED POINT THEOREMS FOR GENERALIZED KANNAN TYPE MAPPINGS IN RECTANGULAR b-METRIC SPACES

  • Rossafi, Mohamed (LaSMA Laboratory Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah) ;
  • Massit, Hafida (Laboratory of Partial Differential Equations, Spectral Algebra and Geometry, Department of Mathematics, Faculty of Sciences, University of Ibn Tofail)
  • Received : 2021.12.03
  • Accepted : 2022.04.12
  • Published : 2022.09.01
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Abstract

This present paper extends some fixed point theorems in rectangular b-metric spaces using subadditive altering distance and establishing the existence and uniqueness of fixed point for Kannan type mappings. Non-trivial examples are further provided to support the hypotheses of our results.

Keywords

Acknowledgement

It is our great pleasure to thank the referee for his careful reading of the paper and for several helpful suggestions.

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