Continuation method for contractive maps on spaces endowed with vector-valued metrics

Abstract

A continuation result for contractive maps on spaces endowed with vector-valued metrics is established.

Authors

Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Contraction; Generalized metric space; Continuation; Iterative approximation; Fixed point.

Paper coordinates

R. Precup, Continuation method for contractive maps on spaces endowed with vector-valued metrics, Seminaire de la Theorie de la Meilleurs Approximation, Convexite et optimisation, Cluj-Napoca, novembre 2001, pp. 113-120.

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Journal

Seminaire de la Theorie de la Meilleure Approximation Convexite et Optimisation Cluj-Napoca

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google scholar link

[1] A. Granas, Continuation method for contractive maps, Topol. Methods Nonlinear Anal. 3 (1994), 375-379.
[2] D. O’Regan and R. Precup, Theorems of Leray-Schauder type and applications, Gordon and Breach Science Publishers, 2001.
[3] A.I. Perov and A.V. Kidenko, On a certain general method for investigation of boundary value problems (Russian), Izv. Akad. Nauk SSSR 30 (1966 (249-264.
[4] R. Precup, Discrete continuation method for boundary value problems on bounded sets in Banach spaces, J. Comput. Appl. Math. 113 (2000), 267-281.
[5] A. Rus, Principles and Applications of the Fixed Point Theory (Romanian) Ed. Dacia, Cluj, 1979.

2001

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