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
Pages
11
From page
190
To page
200
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
Serial Year
2020
Record number
2587818
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