Fixed points for k mappings on a complete metric spaces

• Autorzy: Kikina L. , Kikina K.
• Języki publikacji: EN

Abstrakty

EN

A fixed point theorem for three mappings on a metric space into itself is proved. This result extends the results obtained in [1] from two mappings to three map pings, and after that, a generalization for an arbitrary number of mappings is obtained. As corollaries of these results we obtain the extending of Theorems of Nesic, Rhoades, Chatterjea, Rus and Kannan for an arbitrary number of mappings.

Słowa kluczowe

EN

fixed point; metric space; complete metric space

PL

stały punkt; przestrzeń metryczna; przestrzeń metryczna zupełna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 2
• Strony: 349--357
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Kikina L.

• Department of Mathematics, Faculty of Natural Sciences, University of Gjirokastra, Albania

autor

Kikina K.

• Department of Mathematics, Faculty of Natural Sciences, University of Gjirokastra, Albania

Bibliografia

• [1] S.Č. Nešić, Common fixed point theorems in metric spaces, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 46 (94) (2003), 149-155.
• [2] S.K. Chatterjea, Fixed-point theorems, C.R. Acad. Bulgare Sci. 25 (1972), 727-730.
• [3] B.E. Rhoades, Acomparision of various definitions of contractive mappings, Trans. Amer. Math. Soc. 226 (1977), 257-290.
• [4] I.A. Rus., On common fixed points, Studia Univ. Babes Bolyai 18 (1973), 31-33.
• [5] R. Kannan, Some results on fixed points, Bull. Calcutta Math. Soc. 60 (1968), 71-76.