Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3469
Abstract
The paper presents existence results of $(\phi,\varphi)$ best proximity points for operators that fulfill implicit type inequalities. Classes of mappings endowed with continuity, monotone or monotone-type properties, and which additionally satisfy some adequate inequalities are studied from this point of view. Applications of our results are given with regard to fixed point theory.
Keywords
Best proximity point, generalized proximal contraction, $b$-metric space
First Page
1873
Last Page
1886
Recommended Citation
PITEA, ARIANA and STANCIU, MONICA
(2023)
"Best proximity for proximal operators on $b$-metric spaces,"
Turkish Journal of Mathematics: Vol. 47:
No.
7, Article 3.
https://doi.org/10.55730/1300-0098.3469
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss7/3
