Unique Fixed Point Theorem for Weakly C-Contractive Mappings

  • Binayak S Choudhury Department of Mathematics Bengal Engineering and Science University, Shibpur Howrah - 711103, West Bengal
Keywords: Metric space, Fixed point, Weak C-contraction

Abstract

In this work we introduce the class of weakly c-contractive mappings. We establish that these mappings necessarily have unique fixed points in complete metric spaces. We support our result by an example. Our result also generalises an existing result in metric spaces.

Key words: Metric space; Fixed point; Weak C-contraction.

M S C (2000): 54H25  

DOI: 10.3126/kuset.v5i1.2842

Kathmandu University Journal of Science, Engineering and Technology Vol.5, No.1, January 2009, pp 6-13

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How to Cite
Choudhury, B. (1). Unique Fixed Point Theorem for Weakly C-Contractive Mappings. Kathmandu University Journal of Science, Engineering and Technology, 5(1), 6-13. https://doi.org/10.3126/kuset.v5i1.2842
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Original Research Articles