Some new results on complete $U^*_n$--metric space
Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 3, p. 216-226.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we give some new definitions of $U^*_n$-metric spaces and we prove a common fixed point theorem for two mappings under the condition of weakly compatible and establish common fixed point for sequence of generalized contraction mappings in complete $U^*_n$-metric space.
DOI : 10.22436/jnsa.006.03.07
Classification : 47H10, 54H25
Keywords: \(U^*_n\)-metric space, complete \(U^*_n\)-metric space, sequence of contractive mapping.

Dehghan Nezhad, Akbar 1 ; Khajuee, Najmeh 1

1 Department of Mathematics, Yazd University, 89195-741, Yazd, Iran
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Dehghan Nezhad, Akbar; Khajuee, Najmeh. Some new results on complete  \(U^*_n\)--metric space. Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 3, p. 216-226. doi : 10.22436/jnsa.006.03.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.03.07/

[1] Vakilabad, A. Bagheri; Vaezpour, S. Mansour Generalized contractions and common fixed point theorems concerning \(\tau\)- distance, J. Nonlinear Sci. Appl., Volume 3 (3) (2010), pp. 78-86

[2] Cohen, L. W.; Goffman, C. The topology of ordered Abelian groups, Trans. Amer. Math. Soc., Volume 67 (1949), pp. 310-319

[3] Nezhad, A. Dehghan; Aral, Z. The topology of GB-metric spaces, ISRN. Mathematical Analysis, Hindawi, 2011

[4] Nezhad, A. Dehghan; H. Mazaheri New results in G-best approximation in G-metric spaces, Ukrainian Math. J., Volume 62 (4) (2010), pp. 648-654

[5] Dhage, B. C. A common fixed point principle in D-metric spaces, Bulletin of the Calcutta Mathematical Society, Volume 91 (6) (1999), pp. 475-480

[6] Jungck, G.; Rhoades, B. E. Fixed points for set valued functions without continuity, Indian J. Pure Appl. Math., Volume 29 (3) (1998), pp. 227-238

[7] Luong, N. V.; Thuan, N. X. Common fixed point theorems in compact \(D^*\)-metric spaces, Internationnal Mathematical Forum., Volume 6 (13) (2011), pp. 605-612

[8] Nashine, H. K. Coupled common fixed point results in ordered G-metric spaces, J. Nonlinear Sci. Appl., Volume 1 (2012), pp. 1-13

[9] Popa, V.; A. M. Patriciu A general fixed point theorem for pairs of weakly compatible mappings in G-metric spaces, J. Nonlinear Sci. Appl., Volume 5 (2012), pp. 151-160

[10] Sedghi, S.; Khan, M.S.; N. Shobe Fixed point theorems for six weakly compatible mappings in \(D^*\)-metric spaces, J. Appl. Math. Informatics., Volume 27 (2) (2009), pp. 351-363

[11] Sedghi, S.; Nabi, S.; Haiyun, Z. A common fixed point theorems for in \(D^*\)-metric spaces, Hindawi Publishing Corporation. Fixed point Theory and Applications , Article ID 27906, doi: 10.1155. , Volume 2007 (2007), pp. 1-13

[12] Shaban, S.; Nabi, S.; Haiyun, Z.; Shahram, S. Common fixed point theorems for two mappings in \(D^*\)-metric spaces , Journal of prime research in mathematics, Volume 4 (2008), pp. 132-142

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