|
|||||
|
|
Best proximity pair theorem in metrizable topological vector spaces |
|
| Authors: | H. K. Nashine C. L. Dewangan Z. D. Mitrovic |
| Affiliation: | [1]Pt. Ravishankar Shukla University, India/Disha Institute of Management and Technology, India [2]Disha Institute of Management and Technology, India [3]University of Banja Luka, Basnia and Herzegovina |
| Abstract: | The object of this paper is to prove an existence result on best proximity pair. For this purpose, the class of factorizable multifunctions in approximately weakly compact, convex subset of metrizable topological vector space is used. As consequence, our theorem generalizes the result of Basha and Veeramani[10]. Finally, certain known results have also been obtained as corollaries in this work. |
| Keywords: | almost affine almost quasi convex approximately weakly compact best proximity pair Metrizable TVS relative almost quasi convex Kakutani factorizable multifunction |
| 本文献已被 维普 万方数据 SpringerLink 等数据库收录！ | |