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In this paper we give a data dependence theorem for multivalued weakly φ-contractive operators. Then, we define the concept of ball with respect to w-distance and we present fixed point results for multivalued contractive type operators using this ball.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
45--52
Opis fizyczny
Bibliogr. 6 poz.
Twórcy
autor
- Department of Applied Mathematics Babeş-Bolyai University Kogălniceanu 1, 400084, Cluj-Napoca, România, gliliana.math@gmail.com
Bibliografia
- [1] Granas A., Dugundji J., Fixed Point Theory, Berlin, Springer-Verlag, 2003.
- [2] Guran L., Existence and data dependence for multivalued weakly contractive operators, Studia Babeş-Bolyai University Mathematica, 54(3)(2009), 67-76.
- [3] Kada O., Suzuki T., Takahashi W., Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Math. Japonica, 44(1996) 381-391.
- [4] Lazăr T, Petruşel A., Shahzad N., Fixed points for non-self operators and domanin invariance theorems, Nonlinear Analysis: Theory, Methods and Applications, 70(2009), 117-125.
- [5] Rus I.A., Generalized Contractions and Applications, Presa Clujeană Universitară, Cluj- Napoca, 2001.
- [6] Suzuki T., Takahashi W., Fixed points theorems and characterizations of metric completeness Topological Methods in Nonlinear Analysis, Journal of Juliusz Schauder Center, 8(1996), 371-382.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP3-0002-0065