Some Generalized Fixed Point Results on Compact Metric Spaces
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Abstract
The goal of this research is to study some generalized fixed point results in compact metric space. It mainly focuses on the existence and unique fixed point of a selfmap on a compact metric space and its generalizations. In this study iterative techniques due to Edelstein, Bhardwaj et al. and Sastry et al. are used to show existence of a unique fixed point for a selfmap satisfying certain generalized contractive conditions involving rational expressions. Examples are also provided in support of our results. Our results generalize that of Edelstein and Fisher.
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How to Cite
Bekele, G., & Geremew, A. (1). Some Generalized Fixed Point Results on Compact Metric Spaces. Ethiopian Journal of Education and Sciences, 10(1), 53-61. Retrieved from https://journals.ju.edu.et/index.php/ejes/article/view/803
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Ethiopian Journal of Education and Sciences. All rights reserved.