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COUPLED FIXED POINTS FOR MIXED $g$-MONOTONE UNDER RATIONAL CONTRACTIVE EXPRESSIONS IN PARTIALLY ORDERED METRIC SPACES

Hemant Kumar Nashine|Anita Gupta
영남수학회 (Youngnam Mathematical Society)|2016.09|East Asian Mathematical Journal|제32권 제5호|pp. 745-765|DOI http://dx.doi.org/10.7858/eamj.2016.052

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참고문헌

키워드

Partially ordered metric spacecoupled fixed pointrational contractive expressionmixed monotone property
주제분류수학

초록

We propose coupled fixed point theorems for maps satisfying contractive conditions involving a rational expression in the setting of partially ordered metric spaces. We also present a result on the existence and uniqueness of coupled fixed points. In particular, it is shown that the results existing in the literature are extend, generalized, unify and improved by using mixed monotone property. Given to support the useability of our results, and to distinguish them from the known ones.

Abstract

We propose coupled fixed point theorems for maps satisfying contractive conditions involving a rational expression in the setting of partially ordered metric spaces. We also present a result on the existence and uniqueness of coupled fixed points. In particular, it is shown that the results existing in the literature are extend, generalized, unify and improved by using mixed monotone property. Given to support the useability of our results, and to distinguish them from the known ones.

참고문헌 (24)

  1. V. Berinde, "Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces", Nonlinear Anal., 74, pp.7347~7355 (2011), TMA
  2. T. G. Bhaskar, "Fixed point theorems in partially ordered metric spaces and applications", Nonlinear Anal., 65, pp.1379~1393 (2006), TMA
  3. D. Guo, "Coupled fixed points of nonlinear operators with applications", Nonlinear Anal., 11, pp.623~632 (1987), TMA
  4. H. S. Ding, "Coupled fixed point theorems in partially ordered cone metric spaces", Filomat, 25(2), pp.137~149 (2011)
  5. J. Harjani, "Fixed point theorems for weakly contractive mappings in partially ordered sets", Nonlinear Anal., 71, pp.3403~3410 (2008), TMA
  6. J. Harjani, "Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations", Nonlinear Anal., 72, pp.1188~1197 (2010), TMA
  7. V. Lakshmikantham, "Ciric, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces", Nonlinear Anal., 70, pp.4341~4349 (2009), TMA
  8. N. V. Luong, "Coupled fixed points in partially ordered metric spaces and application", Nonlinear Anal., 74, pp.983~992 (2011), TMA
  9. N. V. Luong, "Coupled fixed point theorems for mixed monotone mappings and an application to integral equations", Comput. Math. Appl., 62, pp.4238~4248 (2011)
  10. H. K. Nashine, "Coupled common fixed point theorems for w*-compatible mappings in ordered cone metric spaces", Appl. Math. Comput., 218, pp.5422~5432 (2011)
  11. H. K. Nashine, "Coupled common fixed point theorems for pair of commuting mappings in partially ordered complete metric spaces", Comput. Math. Appl., 62, pp.1984~1993 (2011)
  12. J. J. Nieto, "Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations", Order, 22, pp.223~239 (2005)
  13. J. J. Nieto, "Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations", Acta Math. Sinica, Engl. Ser., 23, pp.2205~2212 (2007)
  14. A. C. M. Ran, "A fixed point theorem in partially ordered sets and some applications to matrix equations", Proc. Amer. Math. Soc., 132, pp.1435~1443 (2004)
  15. B. E. Rhoades, "Proving fixed point theorems using general principles", Indian J. Pure Appl. Math., 27, pp.741~770 (1996)
  16. B. Samet, "Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces", Nonlinear Anal., 72, pp.4508~4517 (2010), TMA
  17. B. Samet, "Coupled fixed point theorems in partially ordered ε-chainable metric spaces", J. Math. Comput. Sci., 1, pp.142~151 (2010)
  18. Y. Wu, "New fixed point theorems and applications of mixed monotone operator", J. Math. Anal. Appl., 341(2), pp.883~893 (2008)
  19. Y. Wu, "Existence and uniqueness of fixed points for mixed monotone operators with applications", Nonlinear Anal., 65, pp.1913~1924 (2006), TMA
  20. B. S. Choudhury, "A coupled coincidence point results in partially ordered metric spaces for compatible mappings", Nonlinear Anal., 73, pp.2534~2531 (2010)
  21. H. K. Nashine, "Coupled coincidence point for compatible map-pings satisfying mixed monotone property", J. Nonlinear Sci. and Appl., 5, pp.104~114 (2012)
  22. W. Shatanawi, "Coupled fixed point for mixed monotone map-ping in ordered partial metric spaces", J. Math. Comput. Modelling, 55, pp.680~687 (2012)
  23. B. S. Choudhury, "A coupled common fixed point theorem for a family of mappings", Nonlinear Anal., 18(1), pp.14~26 (2013)
  24. H. K. Nashine, "Partially ordered metric spaces", Rational Contractive expressions and coupled fixed points, 17(4), pp.471~489 (2012)

관련 논문AI추천

Coupled fixed point theorems for rational inequality in generalized metric spacesDeepak Singh, M.S.Rathore, Surjeet Singh Tomar, Varsha Chauhan영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호Coupled fixed points of contraction maps with a rational expression in partially ordered metric spacesG. V. R. BABU, P. D. Sailaja, P. Subhashini장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제3호A Coupled Fixed Point Theorem for Mixed Monotone Mappings on Partial Ordered G-Metric Spaces이호수경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호On common fixed points for generalized contractive type mappings in ordered metric spacesSumit Chandok장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호EMPLOYING α-ψ-CONTRACTION TO PROVE COUPLED COINCIDENCE POINT THEOREM FOR GENERALIZED COMPATIBLE PAIR OF MAPPINGS ON PARTIALLY ORDERED METRIC SPACESAmrish Handa, Bhavana Deshpande한국수학교육학회 · 이론수학과 교직수학2018 · 제25권 제2호Coupled Fixed Point Theorems in Modular Metric Spaces En dowed with a GraphShishir Jain, Yogita Sharma경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제2호

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