A general common fixed point theorem for a pair of mappings in S - metric spaces

Popa, Valeriu; Patriciu, Alina-Mihaela

doi:10.2478/gm-2021-0003

Abstract

The purpose of this paper is to prove a common fixed point theorem for a pair of mappings satisfying an implicit relation, generalizing the main results from [6], [10], [11], [13] and other papers.

References

[1] B. C. Dhage, Generalized metric space and mappings with fixed point, Bull. Calcutta Math. Soc., vol. 84, 1992, 329-336.
Search in Google Scholar Back to article
[2] B. C. Dhage, Generalized metric space and topological structures I, An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Mat., vol. 46, no. 1, 2000, 3-20.
Search in Google Scholar Back to article
[3] N. V. Dung, N. T. Hieu, S. Radenović, Fixed point theorems for monotone maps on partially ordered S - metric spaces, Filomat, vol. 22, 2014, 1875-1892.10.1186/1687-1812-2014-110
Search in Google Scholar Back to article
[4] Z. Mustafa, B. Sims, Some remarks concerning D – metric spaces, Proc. Conf. Fixed Point Theory and Applications, Valencia (Spain), 2003, 189-198.
Search in Google Scholar Back to article
[5] Z. Mustafa, B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal., vol. 7, 2006, 280-297.
Search in Google Scholar Back to article
[6] N. Y.Özgür, N. Taş, Some generalizations on fixed point theorems on S -metric spaces, In: Rassias T., Pardalos P. (eds) Essays in Mathematics and its Applications. Springer, Cham, 229-261.10.1007/978-3-319-31338-2_11
Search in Google Scholar Back to article
[7] V. Popa, Fixed point theorems for implicit contractive mappings, Stud. Cerc. Ştiinţ., Ser. Mat., Univ. Bacău, vol. 7, 1997, 127-134.
Search in Google Scholar Back to article
[8] V. Popa, Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstr. Math., vol. 32, no. 1, 1999, 157-163.10.1515/dema-1999-0117
Search in Google Scholar Back to article
[9] V. Popa, A.-M. Patriciu, A general fixed point theorem for pairs of weakly compatible mappings in G - metric spaces, J. Nonlinear Sci. Appl., vol. 3, 2012, 139-144.10.22436/jnsa.005.02.08
Search in Google Scholar Back to article
[10] K. Prudhvi, Fixed point results in S - metric spaces, Univer. J. Comput. Math., vol. 3, 2015, 19-21.10.13189/ujcmj.2015.030201
Search in Google Scholar Back to article
[11] K. Prudhvi, Some fixed point results in S - metric spaces, J. Math. Sci. Appl., vol. 4, no. 1, 2016, 1-3.
Search in Google Scholar Back to article
[12] S. Sedghi, N. Shobe, A. Aliouche, A generalization of fixed point theorems in S - metric spaces, Mat. Vesn., vol. 64, no. 3, 2012, 258-266.
Search in Google Scholar Back to article
[13] S. Sedghi, N. V. Dung, Fixed point theorems on S - metric spaces, Mat. Vesn., vol. 66, no. 1, 2014, 113-124.10.1186/1687-1812-2014-43
Search in Google Scholar Back to article

A general common fixed point theorem for a pair of mappings in S - metric spaces

Abstract

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