Fixed point theorem for sequences of maps

• Autorzy: Türkoğlu D. , Altun I. , Fisher B.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we prove a common fixed point theorem for sequences of maps under the condition of compatible mappings on complete metric space. We extend and generalize several fixed point theorems on complete metric space.

Słowa kluczowe

EN

fixed point theorems; compatible mapping; set-valued mapping

PL

twierdzenie o punkcie stałym; odwzorowanie zgodne; zbiór odwzorowań

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 2
• Strony: 461--468
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Türkoğlu D.

• Department of Mathematics, Faculty of Science and Arts, University of Gazi, 06500-Teknikokullar, Ankara, Turkey

autor

Altun I.

• Department of Mathematics, Faculty of Science and Arts, University of Kirikkale, 71450-Yahşihan Kirikkale, Turkey

autor

Fisher B.

• Department of Mathematics Leicester University Leicester, LE1 7RH, England

Bibliografia

• [1] K. M. Das and K. V. Naik, Common fixed point theorems for commuting maps on a metric space, Proc. Amer. Math. Soc. 77 (3) (1979), 369-373.
• [2] B. Fisher, Common fixed point of mappings and set-valued mappings, Rostock Math. Kolloq. 18 (1981), 69-77.
• [3] M. Imdad, M. S. Khan and S. Sessa, On some weak conditions of commutativity in common fixed point theorems, Internat. J. Math. Math. Sci. 11 (2) (1988), 289-296.
• [4] G. Jungck and B. E. Rhoades, Some fixed point theorems for compatible maps, Internat. J. Math. Math. Sci. 16 (3) (1993), 417-428.