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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Some fixed point results on a metric space with a graph
Topology and its Applications, Volume 159, No. 3, Year 2012
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Description
Combining some branches is a typical activity in different fields of science, especially in mathematics. Naturally, it is notable in fixed point theory. Over the past few decades, there have been a lot of activity in fixed point theory and another branches in mathematics such differential equations, geometry and algebraic topology. In 2006, Espinola and Kirk made a useful contribution on combining fixed point theory and graph theory. Recently, Reich and Zaslavski studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In this paper, by using main idea of their work and the idea of combining fixed point theory and graph theory, we present some iterative scheme results for G-contractive and G-nonexpansive mappings on graphs. © 2011.
Authors & Co-Authors
Aleomraninejad, Seyed M.A.
Iran, Tabriz
Azarbaijan Shahid Madani University
Rezapour, Shahram
Saudi Arabia, Jeddah
King Abdulaziz University
Shahzad, Naseer
Saudi Arabia, Jeddah
King Abdulaziz University
Statistics
Citations: 116
Authors: 3
Affiliations: 2
Identifiers
Doi:
10.1016/j.topol.2011.10.013
ISSN:
01668641