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Abstrakty
We show that some generalized multivalued contractions admit selections which are Caristi type mappings. Another purpose of this paper is to give a common fixed point theorem for two multivalued contractive type mappings defined on a closed ball of a complete metric space with values in the set of all nonempty and closed subsets of this space.
Wydawca
Czasopismo
Rocznik
Tom
Strony
609--617
Opis fizyczny
Bibliogr. 11 poz.
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autor
- Department of Mathematics Technical University of Cluj-Napoca Str. C. Daicoviciu nr 15, 400020 Cluj-Napoca, Romania, Alina.Sintamarian@math.utcluj.ro
Bibliografia
- [1] R. P. Agarwal, D. O'Regan, Fixed point theory for acyclic maps between topological vector spaces having sufficiently many linear functionals, and generalized contractive maps with closed values between complete metric spaces, R. P. Agarwal (ed.) et al., Set valued mappings with applications in nonlinear analysis, Taylor & Francis, London, Ser. Math. Anal. Appl. 4 (2002), 17-26.
- [2] J. Caristi, Fixed point theorems for mappings satisfying inwardness conditions, Trans. Amer. Math. Soc. 215 (1976), 241-251.
- [3] Lj. B. Ćirić, Some Recent Results in Metrical Fixed Point Theory, C-Print, Belgrade, 2003.
- [4] J. Dugundji, A. Granas, Fixed Point Theory, Polish Scientific Publishers, Warszawa, 1982.
- [5] M. Frigon, A. Granas, Résultats du type de Leray-Schauder pour des contractions multivoques, Topol. Methods Nonlinear Anal. 4 (1994), 197-208.
- [6] J. R. Jachymski, Caristi's fixed point theorem and selections of set-valued contractions, J. Math. Anal. Appl. 227 (1998), 55-67.
- [7] A. Petruşel, Operatorial Inclusions, House of the Book of Science, Cluj-Napoca, 2002.
- [8] A. Petruşel, On Frigon-Granas-typemultifunctions, NonlinearAnal. Forum7 (2002), 113-121.
- [9] A. Pet ruşel, Multivalued weakly Picard operators and applications, Sci. Math. Jpn. 59 (1) (2004), 169-202.
- [10] A. Petruşel, A. Sîntamarian, Single-valued and multi-valued Caristi type operators, Publ. Math. Debrecen 60 (1-2) (2002), 167-177.
- [11] I. A. Rus, Generalized Contractions and Applications, Cluj University Press, Cluj-Napoca, 2001.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0015-0015