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A Fixed Point Theorem on Partial Metric Spaces satisfying an Implicit Relation

김창일|한길준
한국수학교육학회|2023.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제30권 제1호|pp. 25-34|DOI https://doi.org/10.7468/jksmeb.2023.30.1.25

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키워드

contractionfixed pointpartial metric space
주제분류수학

초록

Popa proved the common fixed point theorem using implicit relations. And Saluja proved some fixed point theorems on complete partial metric spaces satisfying an implicit relation. In this paper, we prove a fixed point theorem on complete partial metric space satisfying another implicit relation.

Abstract

Popa proved the common fixed point theorem using implicit relations. And Saluja proved some fixed point theorems on complete partial metric spaces satisfying an implicit relation. In this paper, we prove a fixed point theorem on complete partial metric space satisfying another implicit relation.

참고문헌 (17)

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  4. Ramesh Chandra Dimri, "Coincidence theorems for comparable generalized non linear contractions in ordered partial metric spaces", 대한수학회논문집, 32(2), pp.375~387 (2017), 대한수학회
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  16. G. Prasad, "Fixed point theorems via comparable mappings in ordered metric spaces", J. Anal, 27(4), pp.1139~1150 (2019)
  17. G. S. Saluja, "Some common fixed point theorems on partial metric spaces satisfying implicit relation", Math. Moravica, 24, pp.29~43 (2020)

관련 논문AI추천

COMMON FIXED POINT OF MAPS IN COMPLETE PARTIAL METRIC SPACESNabiollah Shobkolaei, Shaban Sedghi영남수학회 · East Asian Mathematical Journal2013 · 제29권 제1호Some fixed point theorems on fuzzy metric spaces with implicit relationsDuran Turkoglu, Ishak Altun대한수학회 · 대한수학회논문집2008 · 제23권 제1호Partial S-­metric Spaces and Fixed Point Results이정례, Maryam Simkhah Asil, Shaban Sedghi한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제4호Fixed point theorems in ordered dualistic partial metric spacesIsmat Beg, Muhammad Arshad, Muhammad Nazam강원경기수학회 · 한국수학논문집2016 · 제24권 제2호Some Fixed Point Theorems for Multivalued Maps Satisfying an Implicit Relation on Metrically Convex SpacesDuran Turkoglu, Ishak Altun경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호Coincidence theorems for comparable generalized non linear contractions in ordered partial metric spacesGopi Prasad, Ramesh Chandra Dimri대한수학회 · 대한수학회논문집2017 · 제32권 제2호

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