- Konuralp Journal of Mathematics
- Vol: 8 Issue: 1
- Some Global Optimality Results using the Contractive Conditions of Integral Type
Some Global Optimality Results using the Contractive Conditions of Integral Type
Authors : Nihal Taş, Nihal Yılmaz Özgür
Pages : 30-37
View : 19 | Download : 5
Publication Date : 2020-04-15
Article Type : Research
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