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Coincidence points of weakly compatible mappings

Yisheng Song
대한수학회 (The Korean Mathematical Society)|2008.11|대한수학회보 (Bulletin of the KMS)|제45권 제4호|pp. 607-614

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참고문헌

키워드

weakly compatible mappingscommon fixed pointscoincidence pointsinvariant approximations(fg)-nonexpansive mappings
주제분류수학

초록

We present coincidence points and common fixed point results for (f, g)-contractive mapping and (f, g)-nonexpansive mappings. Our results generalize and complement various known results existing in the literature.

Abstract

We present coincidence points and common fixed point results for (f, g)-contractive mapping and (f, g)-nonexpansive mappings. Our results generalize and complement various known results existing in the literature.

참고문헌 (11)

  1. M. A. Al-Thagafi, "Noncommuting selfmaps and invariant approximations", NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 64(12), pp.2778~2786 (2006)
  2. G. Jungck, "Common fixed points for commuting and compatible maps on compacta", Proceedings of the American Mathematical Society, 103(3), pp.977~983 (1988)
  3. G. Jungck, "Coincidence and fixed points for compatible and relatively nonexpansive maps", International Journal of Mathematics and Mathematical Sciences, 16(1), pp.95~100 (1993)
  4. G. Jungck, "Fixed point theorems in best approximation theory", Mathematica Japonica, 42(2), pp.249~252 (1995)
  5. R. E. Megginson, "An Introduction to Banach Space Theory" (1998), Springer-Verlag
  6. R. P. Pant, "Common fixed points of noncommuting mappings", Journal of Mathematical Analysis and Applications, 188(2), pp.436~440 (1994)
  7. N. Shahzad, "On R-subcommuting maps and best approximations in Banach spaces", Tamkang Journal of Mathematics, 32(1), pp.51~53 (2001)
  8. N. Shahzad, "Invariant approximations and R-subweakly commuting maps", Journal of Mathematical Analysis and Applications, 257(1), pp.39~45 (2001)
  9. N. Shahzad, "Invariant approximations, generalized l-contractions, and R-subweakly commuting maps", Fixed Point Theory and Applications, (1), pp.79~86 (2005)
  10. N. Shahzad, "Noncommuting maps and best approximations", Radiation math, (1), pp.77~83 (2000)
  11. S. P. Singh, "Fixed Point Theory and Best Approximation: The KKM-map Principle" (1997), Kluwer Academic Publishers

관련 논문AI추천

Common Fixed Points of Generalized Contractive Mappings유미자, 조선영영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호Common Fixed Points for Weakened Compatible Mappings Satisfying the Generalized ϕ-weak Contraction Condition정찬용, DEEPAK JAIN, Sanjay Kumar한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제2호COMMON FIXED POINTS OF TWO PAIRS OF GENERALIZED WEAKLY CONTRACTIVE MAPSG. N. ALEMAYEHU, G. V. R. BABU, K. NAGESWARA RAO장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제4호Common fixed points of weakly contractive and compatible mapsGbenga Akinbo, O.T. Mewomo장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제4호Common fixed point point theorem for a pair of weakly compatible mappings on Banach spacesAlok Pandey, Bhavana Deshpande, Sushil Sharma영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호ϵ-Compatible Maps and Common Fixed Point TheoremsKarupphia Jeyabal, Subramanian Muralisankar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호

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