Almost monotone contractions on weighted graphs


Monther R. Alfuraidan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia. Mostafa Bachar - Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia. Mohamed A. Khamsi - Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX 79968, U. S. A..


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.