Existence and data dependence of fixed points for multivalued weakly φ-contractive operators

• Autorzy: Guran L.
• Języki publikacji: EN

Abstrakty

EN

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

EN

fixed point; multivalued operator

PL

punkt stały; operator wielowartościowy

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 43
• Strony: 45--52
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Guran L.

• Department of Applied Mathematics Babeş-Bolyai University Kogălniceanu 1, 400084, Cluj-Napoca, România,

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.