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Some Results on Absolute Retractivity of the Fixed Points Set of KS-Multifunctions

  • Hojat Afshari , Shahram Rezapour EMAIL logo and Naseer Shahzad
Published/Copyright: February 9, 2016
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Abstract

In this paper by using the Suzuki’s method we shall present some results on absolute retractivity of the fixed points set of KS-multifunctions.

References

[1] AFSHARI, H.-REZAPOUR, SH.-SHAHZAD, N.: Absolute retractivity of the common fixed points set of two multifunctions, Topol. Methods Nonlinear Anal. 40 (2012), 429-436.Search in Google Scholar

[2] AGARWAL, R. P.-O’REGAN, D.-SAHU, D. R.: Fixed Point Theory for Lipschitziantype Mappings with Applications, Springer-Verlag, New York, 2009.Search in Google Scholar

[3] ALEOMRANINEJAD, S. M. A.-REZAPOUR, SH.-SHAHZAD, N.: On fixed point generalizations of Suzuki’s method, Appl. Math. Lett. 24 (2011), 1037-1040.10.1016/j.aml.2010.12.025Search in Google Scholar

[4] ALICU, M. C.-MARK, O.: Some properties of the fixed points set for multifunctions, Stud. Univ. Babeş-Bolyai Math. 25 (1980), 77-79.Search in Google Scholar

[5] IMDAD, M.-AHMED, M. A.: Some common fixed point theorems for hybrid pairs of maps without the completeness assumption, Math. Slovaca 62 (2012), 301-314.10.2478/s12175-012-0011-3Search in Google Scholar

[6] KIKAWA, M.-SUZUKI, T.: Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal. 69 (2008), 2942-2949.10.1016/j.na.2007.08.064Search in Google Scholar

[7] KIKAWA, M.-SUZUKI, T.: Some Similarity between Contractions and Kannan Mappings, Fixed Point Theory Appl. (2008), Article ID 649749, 8 pp..Search in Google Scholar

[8] KIRK, W. A.- SHAHZAD, N.: Some fixed point results in ultrametric spaces, Topology Appl. 159 (2012), 3327-333410.1016/j.topol.2012.07.016Search in Google Scholar

[9] RICCERI, B.: Une propriété topologique de l’ensemble des points fixes d’une contraction multivoque à valeurs convexes, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 81 (1987), 283-286.Search in Google Scholar

[10] SCHIRMER, H.: Properties of the fixed point set of contractive multifunctions, Canad. Math. Bull. 13 (1970), 169-173.10.4153/CMB-1970-036-4Search in Google Scholar

[11] SÎNTĂMĂRIAN, A.: A topological property of the common fixed points set of two multivalued operators, Nonlinear Anal. 70 (2009), 452-456.10.1016/j.na.2007.12.015Search in Google Scholar

[12] SÎNTĂMĂRIAN, A.: A topological property of the common fixed points set of two multivalued operators satisfying a Latif-Beg type condition, Fixed Point Theory 9 (2008), 561-573.Search in Google Scholar

[13] SUZUKI, T.: A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc. 136 (2008), 1861-1869.10.1090/S0002-9939-07-09055-7Search in Google Scholar

[14] SUZUKI, T.: Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008), 1088-1095.10.1016/j.jmaa.2007.09.023Search in Google Scholar

[15] WANG, L. Q.-LUO, X. D.: Uniqueness of meromorphic functions concerning fixed points, Math. Slovaca 62 (2012), 29-38. 10.2478/s12175-011-0069-3Search in Google Scholar

Received: 2012-5-5
Accepted: 2013-2-27
Published Online: 2016-2-9
Published in Print: 2015-12-1

Mathematical Institute Slovak Academy of Sciences

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