New multivalued fixed point results in cone b--metric spaces
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 6, p. 3504-3510.

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

In this paper, we give a fixed point theorem for multivalued mappings in a cone b-metric space without the assumption of normality on cones and generalize some attractive results in recent literature.
DOI : 10.22436/jnsa.009.06.05
Classification : 47H10, 54H25
Keywords: Fixed points, multivalued mappings, cone b-metric spaces.

Chu, Zhe 1 ; Huang, Xianjiu 1 ; Liu, Xiaoyi 1

1 Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China
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Chu, Zhe; Huang, Xianjiu; Liu, Xiaoyi. New multivalued fixed point results in cone b--metric spaces. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 6, p. 3504-3510. doi : 10.22436/jnsa.009.06.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.06.05/

[1] Banach, S. Sur les opérations dans les ensembles abstraits et leur application aux équations integrales, Fund. Math., Volume 3 (1922), pp. 133-181

[2] Cho, S. H.; J. S. Bae Fixed point theorems for multi-valued maps in cone metric spaces, Fixed Point Theory Appl., Volume 2011 (2011), pp. 1-7

[3] Huang, L. G.; Zhang, X. Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., Volume 332 (2007), pp. 1468-1476

[4] Hussain, N.; Shah, M. H. KKM mappings in cone b-metric spaces , Comput. Math. Appl., Volume 62 (2011), pp. 1677-1684

[5] Janković, S.; Kadelburg, Z.; Radenović, S. On cone metric spaces: a survey, Nonlinear Anal., Volume 74 (2011), pp. 2591-2601

[6] Kikkawa, M.; Suzuki, T. Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal., Volume 69 (2008), pp. 2942-2949

[7] Mizoguchi, N.; Takahashi, W. Fixed point theorems for multivalued mappings on complete metric spaces, J. Math. Anal. Appl., Volume 141 (1989), pp. 177-188

[8] Mot, G.; A. Petrusel Fixed point theory for a new type of contractive multivalued operators, Nonlinear Anal., Volume 70 (2009), pp. 3371-3377

[9] Nadler, S. B. Multi-valued contraction mappings, Pacific J. Math., Volume 30 (1969), pp. 475-478

[10] Rezapour, S.; Hamlbarani, R. Some notes on the paper cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., Volume 345 (2008), pp. 719-724

[11] Shatanawi, W.; Rajić, V. Ćojbašić; Radenović, S.; Al-Rawashdeh, A. Mizoguchi-Takahashi-type theorems in tvs-cone metric spaces, Fixed Point Theory Appl., Volume 2012 (2012), pp. 1-7

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