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ϵ-Compatible Maps and Common Fixed Point Theorems

Subramanian Muralisankar|Karupphia Jeyabal
경북대학교 자연과학대학 수학과|2016.09|Kyungpook Mathematical Journal|제56권 제3호|pp. 807-817

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참고문헌

키워드

Complete metric spaceCommon fixed pointCoincidence pointcompatible mappings$\epsilon$-compatible.
주제분류수학

초록

The aim of this paper is to introduce the notion of $\epsilon$-compatible maps and obtain some common fixed point theorems. Also, our results generalize some well known fixed point theorems.

Abstract

The aim of this paper is to introduce the notion of $\epsilon$-compatible maps and obtain some common fixed point theorems. Also, our results generalize some well known fixed point theorems.

참고문헌 (13)

  1. G. Jungck, "Commuting mappings and fixed points", Amer. Math. Monthly., 83, pp.261~263 (1976)
  2. S. Sessa, "On a weak commutativity condition of mappings in xed point considerations", Publ. Inst. Math. Soc., 32, pp.149~153 (1982)
  3. G. Jungck, "Compatible mappings and common fixed points", Internat. J. Math. Math. Sci., 9(4), pp.771~779 (1986)
  4. G. Jungck, "Compatible mappings of type(A) and common xed points", Math. Japonica, 38, pp.381~390 (1993)
  5. H. K. Patha, "Fixed point theorems for compatible mappings of type(P) and Applications to dynamic programming", Le Mathematicne, pp.15~33 (1995)
  6. G. Jungck, "Fixed points via "Biased maps"", Proc. Amer. Math. Soc., 123, pp.2049~2060 (1995)
  7. G. Jungck, "Common fixed points for noncontinuous non-self maps on non-metric spaces", Far East J. Math. Sci., 4, pp.199~215 (1996)
  8. M. A. Al-Thagafi, "Generalized I-non-expansive self-maps and invari-ant approximations", Acta Math. Sin., 24, pp.867~876 (2008)
  9. H. Bouhadjera, "Common fixed point theorems for pair of sub-compatible maps math", FA arXiv:0906.3159v1, ~ (2009)
  10. V. Pant, "Common fixed points of conditionally commuting maps", Fixed Point Theory, 1, pp.113~118 (2012)
  11. R. P. Pant, "Occasionally weakly compatible mappings and fixed points", Bull. Belg. Math. Soc. Simon Stevin, 19, pp.655~661 (2012)
  12. R. Bisht, "Faintly compatible mappings and common fixed point", Fixed Point Theory Appl, pp.156~ (2013)
  13. R. P. Pant, "A common xed point under a new condition", J. Pure Appl. Math., 30(2), pp.147~152 (1999)

관련 논문AI추천

Common Fixed Points of Generalized Contractive Mappings유미자, 조선영영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호Common fixed point of compatible maps of type $(\gamma)$ on complete fuzzy metric spacesDuran Turkoglu, Nabi Shobe, Shaban Sedghi대한수학회 · 대한수학회논문집2009 · 제24권 제4호Coincidence points of weakly compatible mappingsYisheng Song대한수학회 · 대한수학회보2008 · 제45권 제4호Common Fixed Point Theorems for a class of weakly compatible mappings in D-Metric Spaces김종규, Nabi Shobe, Shaban Sedghi영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호Common 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 제1호Common fixed point point theorem for a pair of weakly compatible mappings on Banach spacesAlok Pandey, Bhavana Deshpande, Sushil Sharma영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호

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