Abstract
The aim of this article is to establish the existence of Common Best Proximity Point (CBPP) for two non-self-mappings on a closed subsets of a metric space having weak \(\mathcal {P}\)-property. Further, we established the same for Kannan and Chatterjea type non-self-contractive mappings with \(k=1\) satisfying demicompact property on a convex bounded closed subset of a Banach space having weak \(\mathcal {P}\)-property. We also present an example to strengthen our main result.
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Narayanan, M.S., Marudai, M. (2021). Common Best Proximity Points for Some Contractive Type Mappings. In: Balasubramaniam, P., Ratnavelu, K., Rajchakit, G., Nagamani, G. (eds) Mathematical Modelling and Computational Intelligence Techniques. ICMMCIT 2021. Springer Proceedings in Mathematics & Statistics, vol 376. Springer, Singapore. https://doi.org/10.1007/978-981-16-6018-4_5
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