
A discussion on the coincidence quasi-best proximity points
Author(s) -
Farhad Fouladi,
Ali Abkar,
Erdal Karapınar
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2106107f
Subject(s) - coincidence , mathematics , pointwise , contraction (grammar) , coincidence point , class (philosophy) , point (geometry) , discrete mathematics , pure mathematics , mathematical analysis , geometry , fixed point theorem , computer science , artificial intelligence , medicine , alternative medicine , pathology
In this paper, we first introduce a new class of the pointwise cyclic-noncyclic proximal contraction pairs. Then we consider the coincidence quasi-best proximity point problem for this class. Finally, we study the coincidence quasi-best proximity points of weak cyclic-noncyclic Kannan contraction pairs. We consider an example to indicate the validity of the main result.