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SOME FIXED POINT THEOREMS AND EXAMPLE IN M-FUZZY METRIC SPACE

박종서
한국수학교육학회|2010.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제17권 제3호|pp. 205-209

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참고문헌

키워드

M-fuzzy metric spacefixed point theoremcompatible map
주제분류수학

초록

We introduce the concept of semi-compatible and weak-compatible in M-fuzzy metric space, and prove some ¯xed point theorem for four self maps satis-fying some conditions in M-fuzzy metric space.

Abstract

We introduce the concept of semi-compatible and weak-compatible in M-fuzzy metric space, and prove some ¯xed point theorem for four self maps satis-fying some conditions in M-fuzzy metric space.

참고문헌 (8)

  1. B.C. Dhage, "Generalized metric spaces and mappings with fixed point", Bulletin of Calcutta Mathematical Society, 84, pp.329~336 (1992)
  2. M. Grabiec, "Fixed point in fuzzy metric spaces", Fuzzy Sets and Systems, 27, pp.385~389 (1988)
  3. A. George, "On some results in fuzzy metric spaces", Fuzzy Sets and Systems, 64, pp.395~399 (1994)
  4. J. Kramosil, "Fuzzy metric and statistical metric spaces", Kybernetica, 11, pp.326~334 (1975)
  5. J.H. Park, "Fixed points in M-fuzzy metric space", Fuzzy Optimization and Decision Making(Springer), 7(4), pp.305~315 (2008)
  6. J.S. Park, "Some results for four self mappings in intuitionistic fuzzy 2,3-metric space using compatibility", JP J. fixed point Theory & Appl, 3(1), pp.63~83 (2008)
  7. "S. Sedghi, N. Shobe & J.H. Park: A common fixed point theorem in M-fuzzy metric spaces. (Submitted)", ~
  8. B. Schweizer, "Statistical metric spaces", Pacific J. Math, 10, pp.314~334 (1960)

관련 논문AI추천

Common fixed point theorems for two mappings in M-fuzzy metric spaces임정화, Nabi Shobe, Shaban Sedghi영남수학회 · East Asian Mathematical Journal2011 · 제27권 제3호Variants of compatible mappings in fuzzy metric spacesBalbir Singh, Pawan Kumar, Z. K. Ansari기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제15권 제2호Common fixed point of compatible maps of type $(\gamma)$ on complete fuzzy metric spacesDuran Turkoglu, Nabi Shobe, Shaban Sedghi대한수학회 · 대한수학회논문집2009 · 제24권 제4호Fixed Point Theorem in L*M-fuzzy Metric Spaces For Two Maps김종규, N. Shobe, S. Sedghi영남수학회 · East Asian Mathematical Journal2009 · 제25권 제2호A LOCAL FIXED POINT THEOREM ON FUZZY METRIC SPACESIshak Altun, Nabi Shobe, Shaban Sedghi대한수학회 · 대한수학회논문집2012 · 제27권 제2호Common fixed point theorems for compatible and weakly compatible maps in fuzzy cone metric spacesF. Abbas, H. Ullah, I. Khan, S. Jabeen, S. U. Rehman기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제19권 제1호

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