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Common fixed point and invariant approximation in Menger convex metric spaces

Mujahid Abbas|Jong Kyu Kim|Nawab Hussain
대한수학회 (The Korean Mathematical Society)|2008.11|대한수학회보 (Bulletin of the KMS)|제45권 제4호|pp. 671-680

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참고문헌

키워드

best approximationcommon fixed pointconvex metric spaceuniformly Cq-commuting mappingasymptotically S-nonexpansive mapping
주제분류수학

초록

Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in a Menger convex metric space are obtained. As an application, related results on best approximation are derived. Our results generalize various well known results.

Abstract

Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in a Menger convex metric space are obtained. As an application, related results on best approximation are derived. Our results generalize various well known results.

참고문헌 (22)

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  12. N. Hussain, "On strong convergence to common fixed points of uniformly Cq-commuting maps"
  13. N. Hussain, "Common fixed point and invariant approximation results for noncommuting generalized (f, g)-nonexpansive maps", Journal of Mathematical Analysis and Applications, 321(2), pp.851~861 (2006)
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  20. D. O’Regan, "Generalized I-contractions and point wise R-subweakly commuting maps", Acta Mathematica Sinica (2007)
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관련 논문AI추천

COMMON FIXED POINTS AND INVARIANT APPROXIMATIONS FOR SUBCOMPATIBLE MAPPINGS IN CONVEX METRIC SPACE김종규, Hemant Kumar Nashine영남수학회 · East Asian Mathematical Journal2010 · 제26권 제1호Compatible maps and common fixed points in Menger probabilistic metric spacesServet Kutukcu, Sushil Sharma대한수학회 · 대한수학회논문집2009 · 제24권 제1호Some results on common best proximity point and common fixed point theorem in probabilistic Menger spaceHamid Shayanpour대한수학회 · 대한수학회지2016 · 제53권 제5호Common fixed point theorem and invariant approximation in complete linear metric spacesHemant Kumar Nashine영남수학회 · East Asian Mathematical Journal2012 · 제28권 제5호Common fixed point of weakly compatible maps without continuity in menger spacesKhushal Devdhare, Meenakshi Rawal, Sushil Sharma영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호A common fixed point theorem for a sequence of maps in a generalized Menger spaceLal Bahdhur, Shishi Jain, Shobha Jain영남수학회 · East Asian Mathematical Journal2008 · 제24권 제4호

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