Keywords and phrases: G-metric, common fixed-point, fuzzy mappings, complete G-metric spaces.
Received: July 21, 2023; Accepted: September 23, 2023; Published: October 14, 2023
How to cite this article: Muhammad Akram and Sumaira Ajmal, A common fixed-point theorem for a pair of fuzzy mappings in complete G-metric spaces, JP Journal of Fixed Point Theory and Applications 19 (2023), 35-49. http://dx.doi.org/10.17654/0973422823003
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
[1] M. Akram and Yasira Mazhar, A fixed-point theorem of generalized contractions in partially ordered G-metric spaces, JP Journal of Fixed Point Theory and Applications 14(3) (2019), 125-153. [2] Azam and M. Arshad, A note on fixed-point theorems for fuzzy mappings, Fuzzy Sets and System 161 (2010), 1145-1149. [3] L. B. Ciric, A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc. 45 (1974), 262-266. [4] Elida Hoxha and A. Isufati, Common fixed-point theorem for fuzzy weakly contractive mapping, Int. Journal of Math. Analysis 5 (2011), 397-405. [5] B. Fisher and K. Iseki, Fixed point theorems for compact metric spaces, Publ. Math. Debrecen 25 (1978), 193-194. [6] Hans J. Zimmermann, Fuzzy set theory and its applications, Springer International Edition, Kluwer Academic Publishers, 2006. [7] A. K. Kalinda, On a fixed-point theorem for Kannan type mappings, Math. Japonica 33(5) (1988), 721-723. [8] R. Kannan, Some results on fixed-points, Bull. Calcutta Math. Soc. 60 (1965), 71 76. [9] M. S. Khan and Kubiaczyk, Fixed-point theorems for point to set valued mappings, Math. Japonica 33(3) (1988), 409-415. [10] Lofti A. Zadeh, Fuzzy sets, Information and Control 8(3) (1965), 338-353. [11] Z. Liu, On fixed-point theorems for Kannan map, Punjab Uni. J. Math. 28 (1995), 112-119. [12] Marudi Ganesh, Introduction to fuzzy sets and theory, Eastern Economy Edition Prentice Hall of India, 2006. [13] J. T. Markin, Fixed point theorems for set-valued contraction, Notes of Amer. Math. Soc. 15 (1968), 639-640. [14] Z. Mustafa and B. Sims, Approach to generalized metric space, Journal of Non-Linear and Convex Analysis 7 (2006), 289-297. [15] S. Nadler, Multi-valued contraction mappings, Pacific J. Math. 30 (1969), 475 488. [16] Nosheen and M. Akram, Some fixed point and common fixed point theorems for asymptotically regular multivalued mappings in G-metric spaces, JP Journal of Fixed Point Theory and Applications 13(1) (2018), 43-55. [17] B. E. Rhoades, Some fixed-point theorems for pair of mappings, Janantha 15 (1985), 151-156. [18] V. Sharma and S. C. Arora, Fixed point theorems for fuzzy mappings, Fuzzy Sets and System 110 (2000), 127-130. [19] H. Cho Scong, Fixed-point theorems for fuzzy mappings, J. Appl. Math. 19 (2005), 485-491. [20] S. Heilpern, Fuzzy mappings and fixed-point theorems, J. Math. Anal. Appl. 83 (1981), 566-569. [21] K. L. Sing and J. H. M. Whitefield, Fixed-point for contraction type multi-valued mappings, Math Japonica 27 (1982), 117-124. [22] P. Vijayarajo and M. Marudai, Fixed-point theorems for fuzzy mappings, Fuzzy Sets and Systems 135 (2003), 401-407.
|