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Coincidence Point, Best Approximation, and Best Proximity Theorems for Condensing Set-Valued Maps in Hyperconvex Metric Spaces
Fixed Point Theory and Applications volume 2008, Article number: 543154 (2008)
Abstract
In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that are condensing. As an application, we derive a coincidence point theorem for nonself-condensing set-valued maps.
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Amini-Harandi, A., Farajzadeh, A.P., O'Regan, D. et al. Coincidence Point, Best Approximation, and Best Proximity Theorems for Condensing Set-Valued Maps in Hyperconvex Metric Spaces. Fixed Point Theory Appl 2008, 543154 (2008). https://doi.org/10.1155/2008/543154
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DOI: https://doi.org/10.1155/2008/543154