Title of article :
Best proximity point theorems for generalized α-proximal contractions in Banach spaces
Author/Authors :
Komal ، Somayya - King Mongkut s University of Technology Thonburi (KMUTT) , Kumam ، Poom - King Mongkut’s University of Technology Thonburi (KMUTT) , Thounthong ، Phatiphat - King Mongkuts University of Technology North Bangkok (KMUTNB) , Sitthithakerngkiet ، Kanokwan - King Mongkut s University of Technology North Bangkok (KMUTNB)
Abstract :
In this paper, we obtain the best proximity point theorem for α-proximal contraction of the first and second kinds in Banach spaces by using fixed point theorems. Also, we mention an example for justification of our results.
Keywords :
Best proximity point , generalized α , proximal contraction of the first and second kinds , approximatively compactness
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
