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Coupled Fixed Point Theorems in Modular Metric Spaces En dowed with a Graph

Yogita Sharma|Shishir Jain
경북대학교 자연과학대학 수학과|2021.06|Kyungpook Mathematical Journal|제61권 제2호|pp. 441-453

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참고문헌

키워드

connected graphcoupled fixed pointmodular metric spaceG-monotone mappingpartial order relation
주제분류수학

초록

In this work, we define the concept of a mixed G-monotone mapping on a modular metric space endowed with a graph, and prove some fixed point theorems for this new class of mappings. Results of this paper extend coupled fixed point theorems from partially ordered metric spaces into the modular metric spaces endowed with a graph. An example is presented to illustrate the new result.

Abstract

In this work, we define the concept of a mixed G-monotone mapping on a modular metric space endowed with a graph, and prove some fixed point theorems for this new class of mappings. Results of this paper extend coupled fixed point theorems from partially ordered metric spaces into the modular metric spaces endowed with a graph. An example is presented to illustrate the new result.

참고문헌 (18)

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  8. , ~
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  12. L. G. Gw´o´zd´z, "IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem", J. Math. Anal. Appl, 356, pp.453~463 (2009)
  13. J. Jachymski, "The contraction principle for mappings on a metric space with a graph", Proc. Amer. Math. Soc, 136(4), pp.1359~1373 (2008)
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  15. A. Mutlu, "Coupled fixed point theorem in partially ordered modular metric spaces and its an application", J. Comput. Anal. Appl, 25(2), pp.207~216 (2018)
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  18. B. E. Rhoades, "Some theorems on weakly contractive maps", Nonlinear Anal, 47(4), pp.2683~2693 (2001)

관련 논문AI추천

COUPLED FIXED POINTS FOR MIXED $g$-MONOTONE UNDER RATIONAL CONTRACTIVE EXPRESSIONS IN PARTIALLY ORDERED METRIC SPACESAnita Gupta, Hemant Kumar Nashine영남수학회 · East Asian Mathematical Journal2016 · 제32권 제5호A Coupled Fixed Point Theorem for Mixed Monotone Mappings on Partial Ordered G-Metric Spaces이호수경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호Coupled fixed point theorems for rational inequality in generalized metric spacesDeepak Singh, M.S.Rathore, Surjeet Singh Tomar, Varsha Chauhan영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호On common fixed points for generalized contractive type mappings in ordered metric spacesSumit Chandok장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호Common fixed point theorems for three mappings in generalized modular metric spacesMaria Joseph John, Sheela Arockiam강원경기수학회 · 한국수학논문집2024 · 제32권 제1호Common Fixed Points of w-Compatible Maps in Modular A-metric SpacesElif Kaplan, Servet Kutukcu한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제2호

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