Title of article :
Almost monotone contractions on weighted graphs
Author/Authors :
Alfuraidan ، Monther R. - King Fahd University of Petroleum and Minerals , Bachar ، Mostafa - King Saud University , Khamsi ، Mohamed A. - University of Texas at El Paso
Abstract :
Almost contraction mappings were introduced as an extension to the contraction mappings for which the conclusion of the Banach contraction principle (BCP in short) holds. In this paper, the concept of monotone almost contractions defined on a weighted graph is introduced. Then a fixed point theorem for such mappings is given.
Keywords :
Almost contraction , directed graph , fixed point , monotone mapping , multivalued mapping
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
