Some Advancements in Fixed Point Results of Kannan-Type F-contractions

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  • Shehu Shagari Mohammed1,
  • Adewale Aremu2,
  1. Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
  2. Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Nigeria

Published in Issue 2025-11-09

How to Cite

Some Advancements in Fixed Point Results of Kannan-Type F-contractions. (2025). Communications in Nonlinear Analysis, 12(1). https://oiccpress.com/cna/article/view/17878

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Abstract

In this manuscript, a new family of contractions called Kannan-type F-contraction is introduced in the framework of a compact metric space. Sufficient conditions for the existence and uniqueness of fixed points for such contractions are investigated. A non-trivial example is constructed to support the assumptions of our obtained theorems. The ideas proposed herein extend some existing fixed point results in the corresponding literature.

Keywords

  • Fixed point,
  • compact metric space,
  • F-contraction
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