본문 바로가기
KERD
논문KCI 등재

TRIPLED COINCIDENCE AND COMMON TRIPLED FIXED POINT THEOREM FOR HYBRID PAIR OF MAPPINGS SATISFYING NEW CONTRACTIVE CONDITION

Bhavana Deshpande|Amrish Handa
영남수학회 (Youngnam Mathematical Society)|2016.09|East Asian Mathematical Journal|제32권 제5호|pp. 701-716|DOI http://dx.doi.org/10.7858/eamj.2016.049

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Tripled fixed pointtripled coincidence pointw−compatible mappingsF−weakly commuting mappingsnew contractive condition
주제분류수학

초록

We establish a tripled coincidence and common tripled fixed point theorem for hybrid pair of mappings satisfying new contractive condition. To find tripled coincidence points, we do not use the continuity of any mapping involved therein. An example is also given to validate our result. We improve, extend and generalize several known results.

Abstract

We establish a tripled coincidence and common tripled fixed point theorem for hybrid pair of mappings satisfying new contractive condition. To find tripled coincidence points, we do not use the continuity of any mapping involved therein. An example is also given to validate our result. We improve, extend and generalize several known results.

참고문헌 (36)

  1. M. Abbas, "Tripled fixed point theorems for multivalued nonlinear contraction mappings in partially ordered metric spaces", Abstr. Appl. Anal., 2011
  2. M. Abbas, "Common fixed point theorem for hybrid pair of mappings in Hausdorff fuzzy metric spaces", Fixed Point Theory Appl., 2012, pp.225~
  3. 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]
  4. S. M. Alsulami, "Tripled coincidence points for monotone operators in partially ordered metric spaces", International Mathematical Forum, 7(37), pp.1811~1824 (2012)
  5. H. Aydi, "Tripled coincidence point theorems for weak φ-contractions in partially ordered metric spaces", Fixed Point Theory Appl., 44 (2012)
  6. H. Aydi, "Triple fixed points in ordered metric spaces", Bull. Math. Anal. Appl., 4(1), pp.197~207 (2012)
  7. H. Aydi, "New Meir-Keeler type tripled fixed point theorems on partially ordered metric spaces", Mathematical Problems in Engineering, 2012
  8. H. Aydi, "Meir-Keeler type contractions for tripled fixed points", Acta Math. Sci., 32(6), pp.2119~2130 (2012)
  9. V. Berinde, "Coupled fixed point theorems for φ-contractive mixed monotone mappings in partially ordered metric spaces", Nonlinear Anal., 75, pp.3218~3228 (2012)
  10. V. Berinde, "Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces", Nonlinear Anal., 74(15), pp.4889~4897 (2011)
  11. V. Berinde, "Tripled coincidence theorems of contractive type mappings in partially ordered metric spaces", Appl. Math. Comput., 218(10), pp.5929~5936 (2012)
  12. T. G. Bhaskar, "Fixed point theorems in partially ordered metric spaces and applications", Nonlinear Anal., 65(7), pp.1379~1393 (2006)
  13. P. Charoensawan, "Tripled fixed points theorems of φ-contractive mixed monotone operators on partially ordered metric spaces", Applied Mathematical Sciences, 6(105), pp.5229~5239 (2012)
  14. B. Deshpande, "Nonlinear mixed monotone-generalized contractions on partially ordered modified intuitionistic fuzzy metric spaces with application to integral equations", Afr. Mat., 26(3-4), pp.317~343 (2015)
  15. B. Deshpande, "Application of coupled fixed point technique in solving integral equations on modified intuitionistic fuzzy metric spaces", Adv. Fuzzy Syst., 2014
  16. B. Deshpande, "Common coupled fixed point theorems for hybrid pair of mappings satisfying an implicit relation with application", Afr. Mat., 27(1-2), pp.149~167 (2016)
  17. B. Deshpande, "Common coupled fixed point theorems for two hybrid pairs of mappings under φ-ψ contraction", ISRN, 2014
  18. Bhavana Deshpande, "Common coupled fixed point for hybrid pair of mappings under generalized nonlinear contraction", East Asian Mathematical Journal, 31(1), pp.77~89 (2015), 영남수학회[DOI]
  19. B. Deshpande, "Common coupled fixed point theorems for hybrid pair of mappings under some weaker conditions satisfying an implicit relation", Nonlinear Analysis Forum, 20, pp.79~93 (2015)
  20. B. Deshpande, "Common coupled fixed point theorems for two hybrid pairs of mappings satisfying an implicit relation", Sarajevo J. Math., 11(23), pp.85~100 (2015)
  21. Bhavana Deshpande, "COMMON COUPLED FIXED POINT THEOREM UNDER GENERALIZED MIZOGUCHI-TAKAHASHI CONTRACTION FOR HYBRID PAIR OF MAPPINGS GENERALIZED MIZOGUCHI-TAKAHASHI CONTRACTION", 순수 및 응용수학, 22(3), pp.199~214 (2015), 한국수학교육학회
  22. B. Deshpande, "Generalized Mizoguchi-Takahashi contraction in consideration of common tripled fixed point theorem for hybrid pair of mappings", Malaya J. Mat., 3(1), pp.119~130 (2015)
  23. 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
  24. B. Deshpande, "Common tripled fixed point theorems under weaker conditions", IJPAM, 103, pp.1~17 (2015)
  25. H. S. Ding, "Coupled coincidence point theorems for generalized nonlinear contraction in partially ordered metric spaces", Fixed Point Theory Appl., 2012, pp.96~
  26. D. Guo, "Coupled fixed points of nonlinear operators with applications", Nonlinear Anal., 11(5), pp.623~632 (1987)
  27. V. Lakshmikantham, "Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces", Nonlinear Anal., 70(12), pp.4341~4349 (2009)
  28. W. Long, "Some coupled coincidence and common fixed point results for hybrid pair of mappings in 0-complete partial metric spaces", Fixed Point Theory Appl., 2013, pp.145~
  29. N. V. Luong, "Coupled fixed points in partially ordered metric spaces and application", Nonlinear Anal., 74, pp.983~992 (2011)
  30. 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~
  31. J. T. Markin, "Continuous dependence of fixed point sets", Proc. Amer. Math. Soc., 38, pp.545~547 (1947)
  32. M. Mursaleen, "Coupled fixed point theorems for alpha-psi contractive type mappings in partially ordered metric spaces", Fixed Point The-ory Appl., 2012, pp.228~
  33. J. Rodriguez-Lopez, "The Hausdorff fuzzy metric on compact sets", Fuzzy Sets Syst., 147, pp.273~283 (2004)
  34. B. Samet, "Discussion on some coupled fixed point theorems", Fixed Point Theory Appl., 2013, pp.50~
  35. N. Singh, "Coupled coincidence and common fixed point theorems for set-valued and single-valued mappings in fuzzy metric space", Journal of Fuzzy Set Valued Analysis, 2012, pp.10~ (2012)
  36. W. Sintunavarat, "Coupled fixed point theorems for nonlinear contractions without mixed monotone property", Fixed Point Theory Appl., 2012, pp.170~

관련 논문AI추천

TRIPLED FIXED POINT THEOREM FOR HYBRID PAIR OF MAPPINGS UNDER GENERALIZED NONLINEAR CONTRACTIONAmrish Handa, Bhavana Deshpande, Sushil Sharma한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호COMMON n-TUPLED FIXED POINT FOR HYBRID PAIR OF MAPPINGS UNDER NEW CONTRACTIVE CONDITIONAmrish Handa, Bhavana Deshpande한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제3호Common n-tupled Fixed Point Theorem under Generalized Mizoguchi-Takahashi Contraction for Hybrid Pair of MappingsAmrish Handa, Bhavana Deshpande한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제1호Common coupled fixed point for hybrid pair of mappings under generalized nonlinear contractionAmrish Handa, Bhavana Deshpande영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호COMMON 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 coupled fixed point results for hybrid pair of mapping under generalized (ψ, θ, ϕ)-contraction with applicationAmrish Handa한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제3호

이 간행물의 다른 논문 (12건)

CERTAIN IDENTITIES ASSOCIATED WITH CHARACTER FORMULAS, CONTINUED FRACTION AND COMBINATORIAL PARTITION IDENTITIESM.P.Chaudhary, 최준상pp. 609-619EXISTENCE OF POSITIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS WITH BOUNDARY PARAMETER이은경, 박예나pp. 621-633ON SUFFICIENCY AND DUALITY FOR FRACTIONAL ROBUST OPTIMIZATION PROBLEMS INVOLVING (V, ρ)-INVEX FUNCTION김문희, 김귀수pp. 635-639REGULAR FUNCTIONS FOR DIFFERENT KINDS OF CONJUGATIONS IN THE BICOMPLEX NUMBER FIELD강한울, 정상수, 손광호pp. 641-649GENERAL DECAY OF SOLUTIONS OF NONLINEAR VISCOELASTIC WAVE EQUATION강수진, 신기연pp. 651-658
원문 보기