Common fixed point theorems for mappings satisfying (E.A)-property via C-class functions in b-metric spaces

Vildan Ozturk, Arslan Hojat Ansari

Abstract

In this paper, we consider and generalize recent b-(E.A)-property results in [11] via the concepts of C-class functions in b- metric spaces. A example is given to support the result.


Keywords

common fixed point; (E.A)-property; b-metric space; C-class function.

Subject classification

47H10; 54H25.

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References

M. Aamri and D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002), 181-188.

https://doi.org/10.1016/S0022-247X(02)00059-8

M. Abbas, N. Saleem and M. De la Sen, Optimal coincidence point results in partially ordered non-Archimedean fuzzy metric spaces, Fixed Point Theory and Appl. 2016 (2016), Article ID 44.

https://doi.org/10.1186/s13663-016-0534-3

A. H. Ansari, Note on "ϕ-ψ-contractive type mappings and related fixed point", The 2nd Regional Conference on Mathematics And Applications PNU (2014), 377-380.

A. H. Ansari, S. Chandok and C. Ionescu, Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions, Journal of Inequalities and Applications 2014 (2014), Article ID 429.

https://doi.org/10.1186/1029-242X-2014-429

I. A. Bakhtin, The contraction mapping principle in almost metric spaces, Functional Analysis 30 (1989), 26-37.

I. Beg and M. Abbas, Coincidence and common fixed points of noncompatible maps, J. Appl. Math. Inform. 29 (2011), 9743-9752.

S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostraviensis 1 (1993), 5-11.

G. Jungck, Compatible mappings and common fixed points, Int. J. Math. Sci. 9 (1986), 771-779.

https://doi.org/10.1155/S0161171286000935

M. S. Khan, M. Swaleh and S. Sessa, Fixed point theorems by altering distances between the points, Bulletin of the Australian Mathematical Society 30, no. 1 (1984), 1-9.

https://doi.org/10.1017/S0004972700001659

V. Ozturk and S. Radenovic, Some remarks on b-(E.A)-property in b-metric spaces, Springerplus 5, 544 (2016), 10 pages.

https://doi.org/10.1186/s40064-016-2163-z

V. Ozturk and D. Turkoglu, Common fixed point theorems for mappings satisfying (E.A)-property in b-metric spaces, J. Nonlinear Sci. Appl. 8 (2015),1127-1133.

N. Saleem, B. Ali, M. Abbas and Z. Raza, Fixed points of Suzuki type generalized multivalued mappings in fuzzy metric spaces with applications, Fixed Point Theory and Appl. 2015 (2015), Article ID 36.

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