Author/Authors :
George، Reny نويسنده Department of Mathematics and Computer Science St. Thomas College, Ruabandha, Bhilai, Durg, Chhattisgarh State, 490006, India , , Alaca، Cihangir نويسنده Department of Mathematics, Faculty of Science and Arts, Celal Bayar University, 45140 Manisa, Turkey. , , Reshma، K. P. نويسنده Department of Mathematics, Rungta College of Engineering and Technology, Bhilai Chhattisgarh State, 490006, India ,
Abstract :
Eldred and Veeramani proved a theorem which ensures the existence of a best proximity point of cyclic contraction in metric space. In this paper we prove the existence of best proximity points of cyclic contractions and generalize proximal contractions of first and second kinds in the setting of complete b-metric space, thereby ascertaining an optimal approximate solution to the equation Tx=x in a b-metric space.
