Best proximity problems for Ćirić type multivalued operators satisfying a cyclic condition
Abstract
The aim of this paper is to present some best proximity results for multivalued cyclic operators satisfying a Ćirić type contractive condition. Our results extend to the multivalued case some recent results in the literature.
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Eldred, A.A., Veeramani, P., Existence and convergence of best proximity points, J. Math. Anal. Appl., 323(2006), no. 2, 1001-1006.
Fletcher, J., Moors, W.B., Chebyshev sets, J. Aust. Math. Soc., 98(2015), 161-231.
Kirk, W.A., Srinivasan, P.S., Veeramani, P., Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, 4(2003), no. 1, 79-89.
Magdaș, A., A fixed point theorem for Ćirić type multivalued operators satisfying a cyclical condition, J. Nonlinear and Convex Anal., 17(2015), no. 6, 1109-1116.
Neammanee, K., Kaewkhao, A., Fixed points and best proximity points for multi-valued mapping satisfying cyclical condition, Intern. J. Math. Sci. Appl., 1(2011), 1-9.
Păcurar, M., Rus, I.A., Fixed point theory for cyclic φ-contractions, Nonlinear Anal., 72(2010), 1181-1187.
Petrușel, G., Cyclic representations and periodic points, Studia Univ. Babeș-Bolyai Math., 50(2005), no. 3, 107-112.
Rus, I.A., Generalized Contractions and Applications, Cluj University Press, 2001.
Rus, I.A., Petrușel, A., Petrușel, G., Fixed Point Theory, Cluj University Press, 2008.
Rus, I.A., Șerban, M.A., Some generalizations of a Cauchy lemma and applications, Topics in Mathematics, Computer Science and Philosophy, Cluj University Press, 2008, 173-181.
Singh, S.P., Watson, B., Srivastava, P., Fixed Point Theory and Best Approximation: the KKM-map Principle, Kluwer Academic Publ., 1997.
Suzuki, T., Kikkawa, M., Vetro, C., The existence of best proximity points in metric spaces with the property UC, Nonlinear Anal., 71(2009), no. 7-8, 2918-2926.
DOI: http://dx.doi.org/10.24193/subbmath.2017.3.11
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