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Some properties of common fixed point for two self-mappings on some contraction mappings in quasi \(\alpha b\)-metric space. (English) Zbl 1440.54040

Summary: This paper proposes a common fixed point theorem and its proof for two self-mappings on some contraction mappings in quasi \(\alpha b\)-metric space, through the coincidence point and the weakly compatible mapping.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54A40 Fuzzy topology
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References:

[1] I.A. Bakhtin,The contraction mapping principle in quasi b-metric spaces,Funct. Anal. Unianowsk Gos. Ped. Inst.,30(1989), 26-37. · Zbl 0748.47048
[2] S. Czerwik,Contraction Mappings in b-Metric Space,Acta. Math. Inf. Univ. Ostravinsis, 1(1993), 5-11. · Zbl 0849.54036
[3] M. Abbas, I.Z . Chema and A. Razani,Existence of common fixed point for b-metric rational type contraction,Filomat,30(6) (2016), 1413-1429. · Zbl 1461.54066
[4] S.K. Mohanta,Common fixed points in b-metric spaces endowed with a graph,Matematicki Vesnik,68(2) (2016), 140-154. · Zbl 1461.54094
[5] Z .Mostefaoui, M. Bousselsal and J.K. Kim,Some results in fixed point theory concerning rectangular b-metric spacesNonlinear Funct. Anal. Appl.,24(1) (2019), 49-59. · Zbl 1425.54028
[6] J.R. Roshan, N. Shobkolaei, S. Sedghi and M. Abbas,Common fixed point of four maps in b-metric spaces,Hacettepe J. Math. and Statistics,43(4) (2014). 613-624. · Zbl 1321.54099
[7] G.V.R. Babu, and G.N. Alemayehu,Common fixed point theorems for occasionally weakly compatible maps satisfying property (E. A) using an inequality involving quadratic terms,Appl. Math. Letters,24(6) (2011), 975-981. · Zbl 1261.54033
[8] M. Abbas, V. Rakoevi and A. Iqbal,Coincidence and common fixed points of Perov type generalized iri-contraction mappings,Mediterranean J. of Math.,13(5) (2016). 3537-3555. · Zbl 1454.47057
[9] H. Aydi, M.F. Bota, E. Karapnar and S. Mitrovi,A fixed point theorem for set-valued quasi-contractions in b-metric spaces,Fixed Point Theory and Appl.,2012:88 (2012), · Zbl 1457.54032
[10] C. Klin-eam and C. Suanoom,Dislocated quasi-b-metric spaces and fixed point theorems for cyclic contractions, Fixed Point Theory and Appl.,2015:74 (2015). · Zbl 1391.54032
[11] M.U. Rahman and M. Sarwar,Dislocated quasi b-metric space and fixed point theorems, Electronic J. Math. Anal. Appl.,4(2) (2016), 16-24. · Zbl 1390.39107
[12] B. Nurwahyu,Fixed point theorems for the multivalued contraction mapping in the quasi αb-metric space,Far East J. Math. Sciences,102(9) (2017), 2105-2119. · Zbl 06757083
[13] B. Nurwahyu,Fixed point theorems for generalized contraction mappings in quasiαbmetric space,Far East J. Math. Sciences,101(8) (2017), 1813-1832. · Zbl 06757083
[14] M. Singh, N. Singh, O.P. Chauhan and M. Younis,Coupled fixed point theorems for single-valued mappings in complete b-metric spaces, Nonlinear Funct. Anal. Appl.,22(1) (2017), 77-86. · Zbl 1489.54234
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