Title of article :
ϕ-BEST PROXIMITY POINT THEOREMS IN METRIC SPACES WITH APPLICATIONS IN PARTIAL METRIC SPACES
Author/Authors :
IMDAD, MOHAMMAD Department of Mathematics - Aligarh Muslim University - Aligarh, India , SALEH, HAYEL N Department of Mathematics - Aligarh Muslim University - Aligarh, India , ALFAQIH, WALEED M Department of Mathematics - Aligarh Muslim University - Aligarh, India
Abstract :
In this paper, we introduce the notions of (F, ϕ, θ)-proximal contraction
and (F, ϕ, θ)-weak proximal contraction for non-self mappings and utilize the same to
prove some existence and uniqueness of ϕ-best proximity point for such mappings. Some
illustrative examples are also given to exhibit the utility of our results. As an application
of the concept of ϕ-best proximity point, we deduce some best proximity point theorems
in the context of partial metric spaces.
Keywords :
(F, ϕ, θ)-proximal contraction , (F, ϕ, θ)-weak proximal contraction , ϕ-best proximity point , partial metric space
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
