본문 바로가기
KERD
논문KCI 등재

Coupled fixed point results in $G$-fuzzy metric spaces for weakly compatible mappings

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

Coupled fixed point results have attracted much attention among the researchers in recent times specially in the field of fuzzy metric spaces. In this paper we established a coupled fixed point result for weakly compatible mappings in $G$-fuzzy metric spaces. We have deduced a corollary to our main theorem. Our result also supported by examples.

Abstract

Coupled fixed point results have attracted much attention among the researchers in recent times specially in the field of fuzzy metric spaces. In this paper we established a coupled fixed point result for weakly compatible mappings in $G$-fuzzy metric spaces. We have deduced a corollary to our main theorem. Our result also supported by examples.

참고문헌 (40)

  1. C. T. Aage, "Some _xed point results in fuzzy metric spaces using a control function", Surveys in Mathematics and its Applications, 12, pp.23~34 (2017)
  2. T. V. An, "A new approach to _xed point theorems on G-metric spacs", Topology and its Applications, 160, pp.1486~1493 (2013)
  3. T. G. Bhaskar, "Fixed point theorems in partially ordered metric spaces and applications", Nonlinear Anal. TMA, 65, pp.1379~1393 (2006)
  4. S. S. Chang, "Coupled _xed point theorems with applications", J. Korean Math. Soc, 33, pp.575~585 (1996)
  5. B. S. Choudhury, "A new contraction principle in Menger spaces", Acta Mathematica Sinica, 24(8), pp.1379~1386 (2008)
  6. B. S. Choudhury, "A coincidence point result in Menger spaces using a control func-tion", Chaos, Solitons and Fractals, 42, pp.3058~3063 (2009)
  7. B. S. Choudhury, "A _xed points result in Menger space using a real function", Acta. Math. Hungar, 122, pp.203~216 (2008)
  8. B. S. Choudhury, "Coupled coincidence point results for compatible mappings in partially ordered fuzzy metric spaces", Fuzzy sets and Systems, 222, pp.84~97 (2013)
  9. B. S. Choudhury, "A coupled coincidence point result in partially ordered metric spaces for compatible mappings", Nonlinear Anal, 73, pp.2524~2531 (2010)
  10. B. S. Choudhury, "Some _xed point theorems in G-metric spaces", Math. Sci. Lett, 1, pp.25~31 (2012)
  11. B. S. Choudhury, "Coupled _xed point results in generalized metric spaces", Mathe-matical and Computer Modelling, 54, pp.73~79 (2011)
  12. K. Das, "Some aspects of non-deterministic _xed point and coincidence point problems in func-tional analysis", Ph. D., pp.2010
  13. K. Das, "Common _xed point theorem for four compatible mappings in Menger spaces involving altering distance function", Bull. Cal. Math. Soc, 110, pp.473~492 (2018)
  14. P. N. Dutta, "Some _xed point results in Menger spaces using a control function", Surveys in Mathematics and its Applications, 4, pp.41~52 (2009)
  15. P. Dhivya, "Common _xed point theorems for mappings satisfying a contractive con-dition of rational expression on a ordered complex partial metric space", Congent Mathematics, 4, pp.1389622~ (2017)
  16. Y. U. Gaba, "Fixed point theorems in G-metric spaces", J. Math. Anal. Appl, 455, pp.528~537 (2017)
  17. R. O. Gregorio, "Coupled _xed point theorems in partially ordered metric spaces", Adv. Fixed Point Theory, 9, pp.17~28 (2019)
  18. D. Guo, "Coupled _xed points of nonlinear operators with applications", Nonlinear Analysis, 11, pp.623~632 (1987)
  19. V. Gupta, "V -fuzzy metric space and related _xed point theorems", Fixed Point Theory and Applications, 2016, pp.51~ (2016)
  20. O. Hadzic, "Fixed Point Theory in Probabilistic Metric Spaces" (2001), Kluwer Academic Publishers
  21. G, Jungck, "Compatible mappings and common _xed points", Int. J. Math. Math. Sci, 9, pp.771~779 (1986)
  22. M. S. Khan, "Fixed point theorems by altering distances between the points", Bull. Austral. Math. Soc, 30, pp.1~9 (1984)
  23. V. Lakshmikantham, "Coupled _xed point theorems for nonlinear contractions in partially ordered metric", Nonlinear Anal. TMA, 70, pp.4341~4349 (2009)
  24. X. Liu, "Common coupled _xed point theorem for Geraghty-type contraction in partially ordered metric spaces", Journal of Function Spaces, 2018, pp.11~ (2018)
  25. D. Mihet, "Altering distances in probabilistic Menger spaces", Nonlinear Analysis, 71, pp.2734~2738 (2009)
  26. D. Mihet, "Common coupled _xed point theorems for contractive mappings in fuzzy metric spaces", J. Nonlinear Sci. Appl, 6, pp.35~40 (2013)
  27. Z. Mustafa, "Some _xed point theorem for mapping on complete G-metric spaces", Fixed Point Theory and Applications, 2008, pp.12~ (1898)
  28. Z. Mustafa, "A new approach to generalized metric space", Journal of Nonlinear Convex Analysis, 7, pp.289~297 (2006)
  29. R. P. Pant, "Common _xed points of contractive maps", J. Math. Anal. Appl, 226, pp.251~258 (1998)
  30. R. P. Pant, "Common _xed points under strict contractive conditions", J. Math. Anal. Appl, 248, pp.327~332 (2000)
  31. V. Popa, "On some common _xed point theorems in G-metric spaces using G-(E. A. )property", Palestine Journal of Mathematics, 4, pp.65~72 (2015)
  32. R. A. Rashwan, "Coupled _xed point results for rational type contractions involv-ing generalized altering distance function in metric spaces", Adv. Fixed Point Theory, 8, pp.98~117 (2018)
  33. V. M. Sehgal, "Fixed point of contraction mappings on PM space", Math. Sys. Theory, 6, pp.97~100 (1972)
  34. B. Singh, "A _xed point theorem in Menger space through weak compatibility", J. Math. Anal. Appl, 301, pp.439~448 (2005)
  35. K. Sridevi, "A common coupled _xed point theorem using E. A. like property in supernova spaces", International Journal of Statistics and Applied Mathe-matics, 3, pp.427~433 (2018)
  36. K. P. Sukanyan, "Generalized Fuzzy Metric Spaces and its properties", Inter-national Journal of Pure and Applied Mathematics, 119, pp.31~39 (2018)
  37. B. Schweizer, "Probabilistic Metric Spaces" (1983), Elsevier
  38. G. Sun, "Generalized fuzzy metric spaces with properties", Res. J. Appl. Sci, 2, pp.673~678 (2010)
  39. S. Wang, "On '-contractions in partially ordered fuzzy metric spaces", Fixed Point Theory and Applications, 2015, pp.233~ (2015)
  40. L. Zhu, "Coupled coincidence and common _xed point theorems for single-valued and fuzzy mappings", Iranian Journal of Fuzzy Systems, 12, pp.75~87 (2015)

관련 논문AI추천

이 간행물의 다른 논문 (19건)