Article ID Journal Published Year Pages File Type
842204 Nonlinear Analysis: Theory, Methods & Applications 2009 9 Pages PDF
Abstract

In this paper, we introduce the concept of generalized quasicontraction mappings in an abstract metric space. By using this concept, we construct an iterative process which converges to a unique fixed point of these mappings. The result presented in this paper generalizes the Banach contraction principle in the setting of metric space and a recent result of Huang–Zhang for contractions. We also validate our main result by an example.

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