A fixed point theorem in Banach spaces over topological semifields and an application

• Autorzy: Pathak H. , Lakshmi V. , Tas K. , Fisher B.
• Języki publikacji: EN

Abstrakty

EN

A fixed point theorem for three mappings on a Banach space x over a topological semifield is proved. An application is given for the solvability of certain non-linear functional equations in X.

Słowa kluczowe

EN

Banach space; common fixed points; topological semifield

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 1999
• Tom: Vol. 32, nr 1
• Strony: 139--143
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Pathak H.

• Department of Mathematics Kalyan Mahavidyalaya Bhilai Nagar - 490 006 (MP), India

autor

Lakshmi V.

• Department of Mathematics Kalyan Mahavidyalaya Bhilai Nagar - 490 006 (MP), India

autor

Tas K.

• Department Of Mathematics, Abant Izzet Baysal University, Bolu, 14280, Turkey

autor

Fisher B.

• Department of Mathematics And Computer Science, University of Leicester, Leicester , LE1 7RH, England

Bibliografia

• [1] M. Antonovskii, V. Boltyanskii and T. Sarymsakov, Topological semifields, Izdat. Sam. GU, Tashkent, (1960).
• [2] M. Antonovskii, V. Boltyanskii and T. Sarymsakov, Metric spaces over semifields, Izdat. Sam. GU, Tashkent, (1961).
• [3] S. Kasahara, On formulations of topological linear spaces by topological semifields, Math. Japon., 19(1974), 121-134.
• [4] Z.P. Mamuzic, Some remarks on abstract distance in general topology, Eleutheria, 2(1979), 433-446.