Fixed points of a Θ-contraction on metric spaces with a graph

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  • Wudthichai Onsod1,
  • Teerapol Saleewong2,
  • Jamshaid Ahmad3,
  • Abdullah Eqal Al-Mazrooei3,
  1. KMUTT Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT),Thrung Khru, Bangkok 10140, Thailand
  2. KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Thrung Khru, Bangkok 10140, Thailand
  3. Department of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi Arabia

Published in Issue 2025-11-09

How to Cite

Fixed points of a Θ-contraction on metric spaces with a graph. (2025). Communications in Nonlinear Analysis, 2(2). https://oiccpress.com/cna/article/view/17891

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Abstract

The aim of this paper is to introduce a new type of contraction called Θ-G-contraction on a metricspace endowed with a graph and establish some new fixed point theorems. Some examples are presentedto support the results proved herein. Our results unify, generalize and extend various results related withG-contraction for a directed graph G

Keywords

  • Metric space endowed with a graph,
  • Θ-G-contractions,
  • fixed point
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