Some Global Optimality Results using the Contractive Conditions of Integral Type

Authors : Nihal TAŞ, Nihal Yılmaz ÖZGÜR

Pages : 30-37

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Publication Date : 2020-04-15

Article Type : Research Paper

Abstract :In this paper we establish new best proximity point theorems considering a classical global optimization problem of finding the minimum  distance between pairs of closed sets using the contractive conditions of  integral type on a complete metric space. These results can be used to find optimal approximate solutions by means  of some contractive conditions of integral type. Also an illustrative  example is given.
Keywords : global optimality, best proximity point, integral type, metric space, completeness