Convexity in D-Metric Spaces and its Applications Fixed Point Theorems
P.Thangavelu1 ,S.Shyamala Malini*, and P.Jeyanthi2
of Mathematics, Kaurnya University, Coimbatore- 641 114, India.
Vijay Bhavanam, N.G.O Colony 6th street extn 2,
Melagaram,Tenkasi- 627 818,India.
of Mathematics,Govindammal Aditanar College for Women, Tiruchendur-628
Academic Editor: Dr.
introduced the concept of D-metric spaces. Following this Naidu, Rao,
Srinivasa Rao and Asim, Aslam, Zafer discussed about the notion of balls
in D-metric spaces. Wataru Takahashi introduced a convex
structure in metric spaces and formulated some fixed point theorems for
nonexpansive mappings. The purpose of this paper is to formulate some
fixed point theorems in different convex structures in metric spaces.