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On common fixed points for generalized contractive type mappings in ordered metric spaces

Sumit Chandok
장전수학회 (Jangjeon Mathematical Society)|2013.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제16권 제3호|pp. 327-333|DOI 10.17777/pjms.2013.16.3.004

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참고문헌

키워드

partially ordered setCommon fixed pointweakly increasing mappings.
주제분류수학

초록

In this paper, we obtain some new common fixed point results sat-isfying a weak contractive condition in the framework of partially ordered metricspaces. The main result generalize and extend some known results given by someauthors in the literature.

Abstract

In this paper, we obtain some new common fixed point results sat-isfying a weak contractive condition in the framework of partially ordered metricspaces. The main result generalize and extend some known results given by someauthors in the literature.

참고문헌 (19)

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  2. I. Altun, "Fixed point and common fixed point theorems on ordered cone metric spaces", Appl. Math. Lett, 23, pp.310~316 (2010)
  3. T.G. Bhaskar, "Fixed point theorems in partially ordered metric spaces and applications", Nonlinear Anal, 65, pp.1379~1393 (2006)
  4. Sumit Chandok, "Some Common Fixed Point theorems for generalized f-weakly contractive Mappings", Journal of Applied Mathematics and Informatics, 29(1), pp.257~265 (2011), 한국전산응용수학회
  5. S. Chandok, "Some common fixed point theorems for generalized nonlinear contractive mappings", Comput. Math. Appl, 62, pp.3692~3699 (2011)
  6. S. Chandok, "Common fixed points, invariant approximation and generalized weak contractions", Internat. J. Math. Math. Sci, 2012 (2012)
  7. S. Chandok, "Some common fixed point results for generalized weak contractive mappings in partially ordered metric spaces", J. Nonlinear Anal. Opt, 4(1), pp.45~52 (2013)
  8. S. Chandok, "Fixed point theorem in ordered metric spaces for generalized con- tractions mappings satisfying rational type expressions", J. Nonlinear Functional Anal. Appl, 17(3), pp.301~306 (2012)
  9. S. Chandok, "Some coupled common fixed point theorems for a pair of mappings satisfying a contractive condition of rational type without monotonicity", Internat. J. Math. Anal, 7(9), pp.433~440 (2013)
  10. S. Chandok, "Common fixed point theorems for nonlinear weakly contractive mappings", Ukrainian Math. J (2013)
  11. S. Chandok, "Some common fixed point results in partially ordered metric spaces for generalized rational type contraction mappings", Veitnam J. Math[DOI]
  12. S. Chandok, "Fixed point theorem for weakly Chatterjea type cyclic con- tractions", Fixed Point Theory Appl, 2013, pp.28~ (2013)
  13. Chi-Ming Chen, "Fixed point theorems for -contractive mappings in ordered metric spaces", J. Appl. Math (2012)
  14. E. Graily, "Generalization of fixed point theorems in ordered metric spaces concerning generalized distance", Fixed Point Theory Appl, 2011, pp.30~ (2011)[DOI]
  15. S.A. Husain, "On common fixed points for a family of mappings", Bull. Aus- tralian Math. Soc, 13, pp.261~267 (1975)
  16. J.J. Nieto, "Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations", Order, 22, pp.223~239 (2005)
  17. J.J. Nieto, "Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations", Acta Math. Sinica, 23, pp.2205~2212 (2007)
  18. 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)
  19. S. Radenovic, "Generalized weak contractions in partially ordered metric spaces", Comp. Math. Appl, 60, pp.1776~1783 (2010)

관련 논문AI추천

Common Fixed Points of Generalized Contractive Mappings유미자, 조선영영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호A Common fixed point theorem on ordered partial S-metric spaces and applicationsIshak Altun, Nabi Shobkolaei, Sahaban Sedghi, Sima Soursouri강원경기수학회 · 한국수학논문집2020 · 제28권 제2호COMMON FIXED POINT OF MAPS IN COMPLETE PARTIAL METRIC SPACESNabiollah Shobkolaei, Shaban Sedghi영남수학회 · East Asian Mathematical Journal2013 · 제29권 제1호Coincidence theorems for comparable generalized non linear contractions in ordered partial metric spacesGopi Prasad, Ramesh Chandra Dimri대한수학회 · 대한수학회논문집2017 · 제32권 제2호Common Fixed Points for Weakened Compatible Mappings Satisfying the Generalized ϕ-weak Contraction Condition정찬용, DEEPAK JAIN, Sanjay Kumar한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제2호Coincidence Point Results under Geraghty-­type ContractionAmrish Handa한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제3호

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