Fixed point results for generalized quasicontraction mappings in abstract metric spaces

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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. © 2009 Elsevier Ltd. All rights reserved.

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Pathak, H. K., & Shahzad, N. (2009). Fixed point results for generalized quasicontraction mappings in abstract metric spaces. Nonlinear Analysis, Theory, Methods and Applications, 71(12), 6068–6076. https://doi.org/10.1016/j.na.2009.05.052

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