Fixed Point Theorems for $(k,l)$-Almost Contractions in Cone Metric Spaces over Banach Algebras

Year 2018, Volume: 1 Issue: 1, 46 - 51, 18.05.2018

Muttalip Özavşar

Abstract

In this paper, we first introduce the notion of $(k,l)$- weak contraction in the setting of cone metric spaces over Banach algebras. Next we prove that the class of such mappings contains those of Kannan, Chatterjea and Ciric type contractions in this new setting. Morever, by proving a fixed point theorem for such a mapping, we provide some significant extensions of the well known results in the metric fixed point theory.

Keywords

Cone metric space, Banach algebra, Spectral Radius, Berinde Mapping, Fixed Point

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