Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842204 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 9 Pages |
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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Authors
H.K. Pathak, N. Shahzad,