Common fixed theory in uniform spaces

• Autorzy: Agarwal R. P. , Dshalalow J. H. , O'Regan D.
• Języki publikacji: EN

Abstrakty

EN

This paper investigates under what conditions two operators defined on complete gauge spaces have a common fixed point.

Słowa kluczowe

EN

common fixed point; gauge spaces; complete metric spaces

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2003
• Tom: [Z] 43(2)
• Strony: 129--147
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Agarwal R. P.

• Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida 32901, USA

autor

Dshalalow J. H.

• Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida 32901, USA

autor

O'Regan D.

• Department of Mathematics, National University of Ireland, Galway, Ireland

Bibliografia

• [1] R. P. Agarwal and D. O’Regan, Fixed point theory for generalized contractions on spaces with two metrics, Jour. Math. Anal. Appl. 248 (2000), 402-414.
• [2] R. P. Agarwal, D. O’Regan and M. Sambandham, Random and deterministic fixed point theory for generalized contractive maps, Applicable Analysis, to appear.
• [3] J. Dugundji, Topology, Ally and Bacon, Boston, 1966.
• [4] N. Gheorghiu, Fixed point theorems in uniform spaces, An. St. Univ Al. I. Cuza Iasi 28 (1982), 17-18.
• [5] R. Kannan, Some results on fixed points, Calcutta Math. Soc. 60 (1968), 71-76.
• [6] B. E. Rhoades, A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc. 226 (1977), 257-290.
• [7] P. Srivastava and V. Gupta, A note on common fixed points, Yokahama Math. Jour. 19 (1971), 91-95.