On the continuity of almostlocal contractions

Author:

MONIKA ZAKANY,

Abstract

This paper introduces a new class of contraction: the almost local contractions. Then, we prove the existence and uniqueness of a fixed-point for local almost contractions in two cases: with constant and variable coefficients of contraction.

Publisher

Technical University of Cluj Napoca, North University Center of Baia Mare

Subject

General Materials Science

Reference14 articles.

1. [1] Berinde, V. and Pacurar, M., Fixed points and continuity of almost contractions, Fixed Point Theory, 9 (2008), No. 1, 23–34

2. [2] Berinde, V., On the approximation of fixed points of weak contractive mappings, Carpathian J. Math., 19 (2003), No. 1, 7–22

3. [3] Berinde, V., Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum, 9 (2004), No. 1, 43–53

4. [4] Babu, G. V. R. , Sandhya, M. L. and Kameswari, M. V. R., A note on a fixed point theorem of Berinde on weak contractions, Carpathian J. Math., 24

5. (2008), No. 1, 8–12

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