Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3469
Keywords
Best proximity point, generalized proximal contraction, $b$-metric space
First Page
1873
Last Page
1886
Recommended Citation
PITEA, A, & STANCIU, M (2023). Best proximity for proximal operators on $b$-metric spaces. Turkish Journal of Mathematics 47 (7): 1873-1886. https://doi.org/10.55730/1300-0098.3469
