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Common coupled fixed point for hybrid pair of mappings under generalized nonlinear contraction

Amrish Handa|Bhavana Deshpande
영남수학회 (Youngnam Mathematical Society)|2015.01|East Asian Mathematical Journal|제31권 제1호|pp. 77-89|DOI http://dx.doi.org/10.7858/eamj.2015.008

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참고문헌

키워드

coupled coincidence pointcoupled fixed pointgeneralized nonlinear contractionω-compatibilityF-weakly commuting
주제분류수학

초록

We establish a coupled coincidence and common coupled fixed pointtheorem for hybrid pair of mappings under generalized nonlinear contraction. An example supporting to our result has also been cited. We improve, extendand generalize several known results.

Abstract

We establish a coupled coincidence and common coupled fixed pointtheorem for hybrid pair of mappings under generalized nonlinear contraction. An example supporting to our result has also been cited. We improve, extendand generalize several known results.

참고문헌 (27)

  1. M. Abbas, "Coupled coincidence point and coupled fixed point theorems in partially ordered metric spaces with u-distance", Fixed Point Theory Appl, 2010, pp.11~ (2010)
  2. Mujahid Abbas, "Coupled coincidence and common fixed point theorems for hybrid pair of mappings", Fixed Point Theory and Applications, 2012(1), pp.4~ (2012), Springer Nature[DOI]
  3. S. Banach, "Sur les Operations dans les Ensembles Abstraits et leur. Applications aux Equations Integrales", Fund. Math, 3, pp.133~181 (1922)
  4. V. Berinde, "Coupled fixed point theorems for 'φ-contractive mixed monotone mappings in partially ordered metric spaces", Nonlinear Anal, 75, pp.3218~3228 (2012)
  5. T. G. Bhaskar, "Fixed point theorems in partially ordered metric spaces and applications", Nonlinear Anal, 65(7), pp.1379~1393 (2006)
  6. B. S. Choudhury, "A coupled coincidence point results in partially ordered metric spaces for compatible mappings", Nonlinear Anal, 73, pp.2524~2531 (2010)
  7. B. Deshpande, "Common fixed point for set and single valued functions without conti-nuity and compatibility", Mathematica Moravica, 11, pp.27~38 (2007)
  8. B. Deshpande, "Fixed point theorems for noncompatible discontinuous hybrid pairs of mappings on 2- metric spaces", Demonstratio Mathematica, 45, pp.143~154 (2012)
  9. B. Deshpande, "Common fixed point theorems for hybrid pairs of map-pings with some weaker conditions in 2-metric spaces", Fasciculi Mathematici, 46, pp.37~55 (2011)
  10. B. Deshpande, "Fixed points for two hybrid pairs of mappings satisfying some weaker conditions on noncomplete metric spaces", Southeast Asian Bull. Math, 35, pp.851~858 (2011)
  11. Bhavana Deshpande, "TRIPLED FIXED POINT THEOREM FOR HYBRID PAIR OF MAPPINGS UNDER GENERALIZED NONLINEAR CONTRACTION", 순수 및 응용수학, 21(1), pp.23~38 (2014), 한국수학교육학회
  12. H. S. Ding, "Coupled coincidence point theorems for generalized nonlinear contraction in partially ordered metric spaces", Fixed Point Theory Appl, 2012, pp.96~ (2012)
  13. I. Kubiaczyk, "Coincidence point for noncompatible multivalued map-pings satisfying an implicit relation", Demonstratio Mathematica, 39(4), pp.555~562 (2006)
  14. I. Kubiaczyk, "A common fixed point theorem for multivalued mappings through T-weak com-mutativity", Mathematica Moravica, 10, pp.55~60 (2006)
  15. I. Kubiaczyk, "Common fixed point of multivalued mappings without continuity", Fasciculi Mathematici, 37(9), pp.19~26 (2007)
  16. I. Kubiaczyk, "Noncompatibility, discontinuity in consideration of common fixed point of set and single valued mappings", Southeast Asian Bull. Math, 32, pp.467~474 (2008)
  17. V. Lakshmikantham, "Coupled fixed point theorems for nonlinear contrac-tions in partially ordered metric spaces", Nonlinear Anal, 70(12), pp.4341~4349 (2009)
  18. N. V. Luong, "Coupled fixed points in partially ordered metric spaces and application", Nonlinear Anal, 74, pp.983~992 (2011)
  19. M. Jain, "Coupled common fixed point results involving a 'φ-ψ contractive condition for mixed g-monotone operators in partially ordered metric spaces", J. Inequal. Appl, 2012, pp.285~ (2012)
  20. J. T. Markin, "Continuous dependence of fixed point sets", Proceedings of the American Mathematical Society, 38, pp.545~547 (1947)
  21. S. B. Nadler, "Multivalued contraction mappings", Pacific J. Math, 30, pp.475~488 (1969)
  22. B. Samet, "Coupled fixed point theorems for generalized Meir-Keeler contraction in par-tially ordered metric spaces", Nonlinear Anal, 72, pp.4508~4517 (2010)
  23. B. Samet, "Coupled fixed point theorems in partially ordered F-chainable metric spaces", TJMCS, 1, pp.142~151 (2010)
  24. B. Samet, "Coupled fixed point, F-invariant set and fixed point of N-order", Ann. Funct. Anal, 1, pp.46~56 (2010)
  25. S. Sharma, "Compatible multivalued mappings satisfying an implicit relation", Southeast Asian Bull. Math, 30, pp.535~540 (2006)
  26. S. Sharma, "Fixed point theorems for set and single valued mappings without continuity and compatibility", Demonstratio Mathematica, 40(3), pp.649~658 (2007)
  27. S. Sharma, "Common fixed point theorems for hybrid pairs of mappings with some weaker conditions", Fasciculi Mathematici, 39, pp.71~84 (2008)

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COMMON COUPLED FIXED POINT THEOREM UNDER GENERALIZED MIZOGUCHI-TAKAHASHI CONTRACTION FOR HYBRID PAIR OF MAPPINGS GENERALIZED MIZOGUCHI-TAKAHASHI CONTRACTIONAmrish Handa, Bhavana Deshpande한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제3호Common n-tupled Fixed Point Theorem under Generalized Mizoguchi-Takahashi Contraction for Hybrid Pair of MappingsAmrish Handa, Bhavana Deshpande한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제1호COMMON n-TUPLED FIXED POINT FOR HYBRID PAIR OF MAPPINGS UNDER NEW CONTRACTIVE CONDITIONAmrish Handa, Bhavana Deshpande한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제3호TRIPLED COINCIDENCE AND COMMON TRIPLED FIXED POINT THEOREM FOR HYBRID PAIR OF MAPPINGS SATISFYING NEW CONTRACTIVE CONDITIONAmrish Handa, Bhavana Deshpande영남수학회 · East Asian Mathematical Journal2016 · 제32권 제5호Common coupled fixed point results for hybrid pair of mapping under generalized (ψ, θ, ϕ)-contraction with applicationAmrish Handa한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제3호TRIPLED FIXED POINT THEOREM FOR HYBRID PAIR OF MAPPINGS UNDER GENERALIZED NONLINEAR CONTRACTIONAmrish Handa, Bhavana Deshpande, Sushil Sharma한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호

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