Common Fixed Point Theorems in Ordered Menger Spaces

Authors

  • Animesh Gupta
  • Hemant Kumar Nashine
  • Zoran Kadelburg

Keywords:

Menger space, ordered metric space, almost contraction, weak annihilator map, dominating map.

Abstract

The purpose of this paper is to prove common fixed point results for a wide class of contractive mappings in ordered probabilistic metric space. Our results are extensions of the results of Nieto and Rodriguez-Lopez, as well as Ran and Reurings on fixed points of mappings in ordered metric spaces. On the other hand, results of Fang, Mishra, Singh and Jain, as well as Razani and Shirdaryazdi are generalized using partial order and corresponding conditions for the given mappings. Results of several other authors are also partially generalized.

Key words and phrases. Menger space, ordered metric space, almost contraction, weak annihilator map, dominating map.

1991 Mathematics Subject Classification. 47H10, 54E50

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Published

2025-05-18

How to Cite

Animesh Gupta, Hemant Kumar Nashine, & Zoran Kadelburg. (2025). Common Fixed Point Theorems in Ordered Menger Spaces. Jordan Journal of Mathematics and Statistics, 8(1), 21–41. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1068

Issue

Vol. 8 No. 1 (2015)

Section

Articles