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Fixed point theorems for asymptotically regular mappings in fuzzy metric spaces

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The aim of this paper is to extend some existing fixed point results for asymptotically regular mappings to fuzzy metric spaces. For this purpose some contractive type conditions with respect to an altering distance function are used. Some new common fixed point results have been derived for such mappings. We provide suitable examples to justify our study.

Abstract

The aim of this paper is to extend some existing fixed point results for asymptotically regular mappings to fuzzy metric spaces. For this purpose some contractive type conditions with respect to an altering distance function are used. Some new common fixed point results have been derived for such mappings. We provide suitable examples to justify our study.

참고문헌 (18)

  1. F. E Browder, "The solution by iteration of nonlinear functional equations in Banach Spaces", Bull. Amer. Math. Soc, 72, pp.571~575 (1966)
  2. A. George, "On some results in fuzzy metric spaces", Fuzzy Set. Syst, 64, pp.395~399 (1994)
  3. M. Grabiec, "Fixed points in fuzzy metric spaces", Fuzzy Set. Syst, 27, pp.385~389 (1988)
  4. A. A. Harandi, "A xed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary dierent equations", Nonlinear Analysis, 72, pp.2238~2242 (2010)
  5. M. S. Khan, "Fixed point theorems by altering distances between the points", Bull. Aust. Math. Soc, 30, pp.1~9 (1984)
  6. B. E. Rhoades, "Some xed point theorems for hardy-rogers type mappings", International J. Math. and Math. Sci, 7, pp.75~87 (1984)
  7. J. Rodriguez-Lopez, "The Hausdor fuzzy metric on compact sets", Fuzzy Sets Syst, 147, pp.273~283 (2004)
  8. H. K. Nashine, "Common xed point theorems for asymp-totically regular mappings on ordered orbitally complete metric spaces with an application to systems of integral equations", Filomat, 30(12), pp.3277~3289 (2016)
  9. P. Nigam, "Some xed point theorems for a pair of asymptotically regular and compatible mappings in fuzzy 2-metric space", Int. J. Open Problems Comput. Math, 5(1), pp.71~84 (2012)
  10. Bijoy Patir, "Fixed point theorems in fuzzy metric spaces for mappings with some contractive type conditions", 한국수학논문집, 26(2), pp.307~326 (2018), 강원경기수학회
  11. B. Patir, "Some results on xed point theory for a class of generalized nonexpansive mappings", Fixed Point Theory and Applica-tions, 2018(19) (2018)
  12. K. Prudhvi, "A common xed point theorem for asymptotically regular in cone metric spaces", Asian Journal of Fuzzy and Applied Mathematics, 2(1), pp.12~16 (2014)
  13. K. P. R. Sastry, "Common xed points for asymptotically regular mappings", Indian J. Pure Appl. Math, 15(8), pp.849~854 (1984)
  14. Y. Shen, "Fixed point theorems in fuzzy metric spaces", Appl. Math. Lett, 25, pp.138~141 (2012)
  15. S. Shukla, "Fixed point theorems and asymptotically regular mappings in partial metric spaces", ISRN Computational Mathematics, pp.6~ (2013)
  16. B. C. Tripathy, "Banach's and Kannan's xed point results in fuzzy 2-metric spaces", Proyecciones J. Math, 32(4), pp.359~375 (2013)
  17. B. C. Tripathy, "A xed point theorem in a generalized fuzzy metric space", Bol. Soc. Paran. Mat, 32(2), pp.221~227 (2014)
  18. B. C. Tripathy, "Fixed point and periodic point theorems in fuzzy metric space", Songklanakarin Journal of Science and Technology, 37(1), pp.89~92 (2015)

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