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Fixed points for $\varphi$-contraction in Menger probabilistic generalized metric spaces

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In this paper, we establish some fixed point theorems for $\varphi$-contraction in Menger probabilistic generalized metric spaces by introducing a new type of gauge function. With this introduced guage function, we discuss several important lemmas to prove our main results. An example is given in the support of obtained results.

Abstract

In this paper, we establish some fixed point theorems for $\varphi$-contraction in Menger probabilistic generalized metric spaces by introducing a new type of gauge function. With this introduced guage function, we discuss several important lemmas to prove our main results. An example is given in the support of obtained results.

참고문헌 (27)

  1. S. M. Alsulami, "φ-contraction in generalized probabilistic metric spaces", Fixed Point Theory Appl, 151, pp.9~ (2015)
  2. S. Chauhan, "Fixed point theorems for compatible and subsequentially contin-uous mappings in Menger spaces", J. Nonlinear Sci. Appl, 7, pp.78~89 (2014)
  3. B. S. Choudhury, "A new contraction principle in Menger spaces", Acta Math. Sin. Engl. Ser, 24(8), pp.1379~1386 (2008)
  4. B. S. Choudhury, "Some φ-contraction results using CLRg proprty in probabilistic and fuzzy metric spaces", Ann. Fuzzy Math. Inform, 12(3), pp.387~395 (2016)
  5. L. Ciric, "Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces", Nonlinear Anal, 72, pp.2009~2018 (2010)
  6. K. Das, "A common fixed point theorem for cyclic contractive mappings in fuzzy metric spaces", Ann. Fuzzy Math. Inform, 9(4), pp.581~592 (2015)
  7. B. C. Dhage, "Generalized metric spaces and mappings with fixed point", Bull. Calcutta Math. Soc, 84, pp.1833~1843 (2009)
  8. P. N. Dutta, "Some fixed point results in Menger spaces using a control function", Surv. Math. Appl, 4, pp.41~52 (2009)
  9. J. -X. Fang, "On φ-contractions in probabilistic and fuzzy metric spaces", Fuzzy Sets and Systems, 267, pp.86~99 (2015)
  10. O. Hadzic, "Some theorems on the fixed points in probabilistic metric and random normed spaces", Boll. Unione Mat. Ital. Sez. B, 1, pp.381~391 (1982)
  11. J. Jachymski, "On probabilistic φ-contractions on Menger spaces", Nonlinear Anal, 73, pp.2199~2203 (2010)
  12. M. A. Kutbi, "Further generalization of fixed point theorems in Menger PM-spaces", Fixed Point Theory Appl, 32(1) (2015)
  13. K. Meneger, "Statistical metrics", Proc. Nat. Acad. Sci. USA, 28, pp.535~537 (1942)
  14. Z. Mustafa, "Existence of fixed point results in G-metric spaces", Int. J. Math. Comput. Sci (2009)
  15. Z. Mustafa, "Fixed point theorems for contractive mappings in complete G-metric spaces", Fixed Point Theory Appl (2009)
  16. Z. Mustafa, "A new approach to generalized metric spaces", J. Nonlinear Convex Anal, 7, pp.289~297 (1991)
  17. R. saadati, "Generalized distance and common fixed point theorems in Menger probabilistic metric spaces", Bull. Iran. Math. Soc, 35, pp.97~117 (2009)
  18. B. Schweizer, "Probabilistic Metric Spaces" (1983), Elsevier
  19. B. Schweizer, "The metrization of statistical metric spaces", Pac. J. Math, 10, pp.673~675 (1960)
  20. V. M. Sehgal, "Fixed points of contraction mappings on PM-spaces", Math. Syst. Theory, 6, pp.97~102 (1972)
  21. W. Sintunavarat, "Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces", J. Appl. Math (2011)
  22. W. Sintunavarat, "Common fixed point theorems in intuitionistic fuzzy metric spaces using concept of occasionally weakly compatible self mappings", Chiang Mai J. Sci, 42, pp.512~522 (2015)
  23. W. Sintunavarat, "Some fixed point results in modified intuition-istic fuzzy metric spaces", Afrika Matematika, 25, pp.461~473 (2014)
  24. J. F. Tiana, "Fixed point results for probabilistic φ-contractions in generalized probabilistic metric spaces", Journal of Nonlinear Science and Application, 8, pp.1150~1165 (2015)
  25. J. Z. Xiao, "Common coupled fixed point results for probabilistic '-contractions in Menger spaces", Nonlinear Anal, 74, pp.4589~4600 (2011)
  26. C. Zhou, "Generalized probabilistic metric spaces and fixed point theorems", Fixed Point Theory Appl, 91, pp.15~ (2014)
  27. C. X. Zhu, "Some fixed point theorems in generalized probabilistic metric spaces", Abstr. Appl. Anal (2014)

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