Abstract

Best Proximity Point Theorems in Metric Spaces

J. Beny1*, J. Maria Joseph2 and M. Marudai3

1PG and Research Department of Mathematics, Holy Cross College (Autonomous), Trichy-620 002, INDIA. 2PG and Research Department of Mathematics, St.Joseph College (Autonomous), Trichy-620 002, INDIA. 3School of Mathematical Sciences, Bharathidasan University, Trichy, INDIA.

DOI : http://dx.doi.org/10.29055/jcms/978

ABSTRACT

In this paper, we prove existence and convergence of best proximity point theorems in metric spaces. Our results generalize and unify some results in the recent literature.

Keywords :Fixed point, complete metrics space, best proximity point, contraction.

map1 map2 map3