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FIXED POINT TYPE THEOREM IN S-METRIC SPACES | ||
Theory of Approximation and Applications | ||
مقاله 4، دوره 10، شماره 2، اسفند 2016، صفحه 33-41 اصل مقاله (261.27 K) | ||
نوع مقاله: Research Articles | ||
نویسنده | ||
Javad Mojaradi-Afra* | ||
Institute of Mathematics, National Academy of Sciences of RA | ||
چکیده | ||
A variant of fixed point theorem is proved in the setting of S-metric spaces | ||
مراجع | ||
[1] T.G Bhaskar and G.V.Lakshmikantham . Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65,(2006), 1379-1393. [2] B.C. Dhage, Generalized metric spaces mappings with fixed point, Bull. Calcutta Math. Soc. 84 (1992), 329-336. [3] S. Gahler, 2-metrische Raume und iher topoloische Struktur, Math. Nachr. 26 (1963), 115- 148. [4] V.Lakshmikantham, and Lj.B.Ciric, Coupled fixed point theorems for nonlinear contrac- tions in partially ordered metric spaces, Nonlinear Analysis 70, (2009),4341-4349. [5] S. G. Matthews, Partial metric topology, Proc. 8th Summer Conference on General Topology and Applications, Ann. New York Acad. Sci. 728 (1994), 183-197. [6] Z. Mustafa and B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal. 7 (2006), 289-297. [7] S. Sedghi, N. Shobe, A. Aliouche, A generalization of fixed point theorem in Smetric spaces, Mat. Vesnik 64 (2012), 258-266. [8] S. Sedghi, N. Shobe, H. Zhou, A common fixed point theorem in D-metric spaces, Fixed Point Theory Appl. Vol. 2007, Article ID 27906, 13 pages. [9] W. Shatanawi, Fixed point theory for contractive mappings satisfying Φ-maps in G-metric spaces, Fixed Point Theory Appl. Vol. 2010, Article ID 181650. [10] W. Shatanawi, Coupled fixed point theorems in generalized metric spaces, Hacettepe J. Math. Stat. 40 (3) (2011), 441-447. | ||
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