Title of article :
Integral type contractions and best proximity points
Author/Authors :
Fallahi ، K. Department of Mathematics - Payame Noor University , Esmaeilnia ، F. Department of Mathematics - Payame Noor University , Pourmoslemi ، A. Department of Mathematics - Payame Noor University
Abstract :
In the present work, Banach and Kannan integral type contractions in metric spaces endowed with a graph are considered and the existence and uniqueness of best proximity points for mappings satisfying in these contractions are proved.
Keywords :
Best proximity point , Integral type contraction , Lebesgue , integrable function , graph proximal
Journal title :
Journal of Linear and Topological Algebra
Journal title :
Journal of Linear and Topological Algebra