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Common fixed point theorems for cyclic \'Ciri\'c-Reich-Rus contraction mappings in quasi-partial $\it{b}$-metric space

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In this paper, we prove the existence and uniqueness of common fixed point for \'Ciri\'c-Riech-Rus contraction mapping in the setting of quasi-partial $\it{b}$-metric space. Some examples are given to verify the effectiveness of our results.

Abstract

In this paper, we prove the existence and uniqueness of common fixed point for \'Ciri\'c-Riech-Rus contraction mapping in the setting of quasi-partial $\it{b}$-metric space. Some examples are given to verify the effectiveness of our results.

참고문헌 (28)

  1. M. Abbas, "Common fixed point results for non-commuting mappings without continuity in cone metric spaces", J. Math. Anal. Appl, 341, pp.416~420 (2008)
  2. M. R. Alfuraidan, "Fixed Point Theory and Graph Theory Foundation and integrative Approaches" (2016), Academic Press-Elsevier
  3. A. Auwalu, "On Some Fixed Point Theorems for Expansive Map-pings in Dislocated cone metric spaces with Banach Algebras", J. Math. Appl, 42, pp.21~33 (2019)
  4. I. A. Bakhtin, "The contraction mapping principle in almost metric spaces", Funct. Anal, 30, pp.26~37 (1989)
  5. V. Berinde, "Approximating common fixed points of noncommuting discontinuous weakly con-tractive mappings in metric spaces", Carpathian J. Math, 25, pp.13~22 (2009)
  6. S. Czerwick, "Contraction mappings in b-metric spaces", Acta Math. Inform. Univ. Ostraviensis, 1, pp.5~11 (1993)
  7. K. M. Das, "Common fixed point theorems for commuting maps on metric spaces", Proc. Am. Math. Soc, 77, pp.369~373 (1979)
  8. X. Fan, "Fixed Point Theorems for Cyclic mappings in quasi-partial b-metric spaces", J. Non-linear Sci. Appl, 9, pp.2175~2189 (2016)
  9. M. B. Ghaemi, "Fixed and periodic points in the probabilistic normed and metric spaces", Choas Solitons Fractals, 28, pp.1181~1187 (2006)
  10. A. Gupta, "Some coupled fixed point theorems on quasi-partial b-metric spaces", Int. J. Math. Anal, 9, pp.293~306 (2015)
  11. A. Gupta, "Quasi-partial b-metric spaces and some related fixed point theorems", Fixed point theory Appl, pp.18~ (2015)[DOI]
  12. A. Gupta, "Topological Structure of Quasi-Partial b-Metric Spaces", Interna-tional Journal of Pure Mathematical Sciences, 17, pp.10~16 (2016)
  13. G. Jungck, "Commuting mapping and fixed points", Am. Math. Monthly, 83, pp.261~263 (1976)
  14. G. Jungck, "Common fixed points for noncontinuous nonself maps on non-metric spaces", Far East J. Math. Sci, 4, pp.199~215 (1996)
  15. E. Karapinar, "Fixed Point Theorems on Quasi-partial Metric spaces", Math. Comput. Model, 57, pp.2442~2448 (2013)
  16. X. Liu, "Common fixed point theorem of six self-mappings in Menger spaces using (CLRST ) property", Open Mathematics, 16, pp.14213~11434 (2018)
  17. L. N. Mishra, "Fixed point theorems with digital contractions image processing", Nonlinear Sci. Lett. A, 9, pp.104~115 (2018)
  18. L. N. Mishra, "On the concept of existence and local attractivity of solutions for some quadratic Volterra integral equation of fractional order", Applied Mathematics and Computation, 285, pp.174~183 (2016)
  19. L. N. Mishra, "Fixed point theorems for generalized weakly S-contractive mappings in partial metric spaces", Int. J. Math. Anal, 5, pp.600~612 (2015)
  20. L. N. Mishra, "Unique Fixed Point Theorems for Generalized Contractive Mappings in Partial Metric Spaces", Int. J. Math. Anal., pp.8~ (2015)[DOI]
  21. L. N. Mishra, "Fixed point Theorems for Cyclic-Ciric-Reich-Rus contraction mapping in quasi-partial b-metric spaces", Scientific Publications of the state university of novi pazar ser. A : Appl. Math. Inform. and mech, 12, pp.47~56 (2020)
  22. A. Razani, "A fixed point theorem in the Menger probabilistic metric space", New Zealand J. Math, 35, pp.109~114 (2006)
  23. A. Razani, "A contraction theorem in fuzzy metric spaces", Fixed point theory Appl, 3, pp.257~265 (2005)
  24. A. Razani, "Existence of fixed point for the nonexpansive mapping of intuitionistic fuzzy metric spaces", Fixed point theory Appl, 30, pp.367~373 (2006)
  25. Abdolrahman Razani, "Some results on fixed points in the fuzzy metricspace", Journal of Applied Mathematics and Informatics, 20(1-2), pp.401~408 (2006), 한국전산응용수학회
  26. A. G. Sanatee, "Generalized 2-proximal C-contraction mappings in complete ordered 2-metric space and their best proximity points", Scientific Publication of the state university of novi pazar ser. A : Appl. Math. Inform. and mech, 12, pp.1~11 (2020)
  27. S. Shirali, "Metric Spaces" (2006), Springer-Verlag
  28. S. Shukla, "Partial b-metric spaces and fixed point theorems", Mediterr. J. Math, 11, pp.703~711 (2014)

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