Open AccessBest proximity point theorems for $ \alpha^{+} F, (\theta-\phi )$-proximal contraction
Author(s) -
Mohamed Rossafi,
Abdelkarim Kari
Publication year - 2022
Publication title -
jurnal matematika, statistika dan komputasi/jurnal matematika statistik dan komputasi
Language(s) - English
Resource type - Journals
eISSN - 2614-8811
pISSN - 1858-1382
DOI - 10.20956/j.v18i2.17994
Subject(s) - contraction (grammar) , metric space , mathematics , alpha (finance) , combinatorics , discrete mathematics , pure mathematics , biology , statistics , construct validity , psychometrics , endocrinology
In this paper, inspired by the idea of Suzuki type $ \alpha^{+} F$-proximal contraction in metric spaces, we prove a new existence of best proximity point for Suzuki type $ \alpha^{+} F$-proximal contraction and $ \alpha^{+} (\theta-\phi )$-proximal contraction defined on a closed subset of a complete metric space. Our theorems extend, generalize, and improve many existing results.