Fixed Points of Almost Geraghty Contraction Type Maps/Generalized Contraction Maps With Rational Expressions in b-Metric Spaces

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  • Gutti Venkata Ravindranadh Babu,
  • Dasari Ratna Babu,

Published in Issue 2025-11-09

How to Cite

Fixed Points of Almost Geraghty Contraction Type Maps/Generalized Contraction Maps With Rational Expressions in b-Metric Spaces. (2025). Communications in Nonlinear Analysis, 6(1). https://oiccpress.com/cna/article/view/17918

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Abstract

In this paper, we introduce almost Geraghty contraction type maps for a single self map andprove the existence and uniqueness of fixed points. We extend it to a pair of selfmaps by definingalmost Geraghty contraction type pair of maps in which one of the maps is b-continuous in acomplete b-metric space. Further, we prove the existence of common fixed points for a pair ofselfmaps satisfying a generalized contraction condition with rational expression in which one ofthe maps is b-continuous. Our results extend and generalize some of the known results that areavailable in the literature. We draw some corollaries from our results and provide examples insupport of our results.

Keywords

  • Common fixed points,
  • b-metric space,
  • b-continuous,
  • Almost Geraghty contraction type maps
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References

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