Samei, M. (2019). Some Fixed Point Results on Intuitionistic Fuzzy Metric Spaces with a Graph. Sahand Communications in Mathematical Analysis, 13(1), 141-152. doi: 10.22130/scma.2017.29018

Mohammad Esmael Samei. "Some Fixed Point Results on Intuitionistic Fuzzy Metric Spaces with a Graph". Sahand Communications in Mathematical Analysis, 13, 1, 2019, 141-152. doi: 10.22130/scma.2017.29018

Samei, M. (2019). 'Some Fixed Point Results on Intuitionistic Fuzzy Metric Spaces with a Graph', Sahand Communications in Mathematical Analysis, 13(1), pp. 141-152. doi: 10.22130/scma.2017.29018

Samei, M. Some Fixed Point Results on Intuitionistic Fuzzy Metric Spaces with a Graph. Sahand Communications in Mathematical Analysis, 2019; 13(1): 141-152. doi: 10.22130/scma.2017.29018

Some Fixed Point Results on Intuitionistic Fuzzy Metric Spaces with a Graph

^{}Department of Mathematics, Faculty of Science, University of Bu-Ali Sina, P.O.Box 6517838695, Hamedan, Iiran.

Abstract

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 the main idea of their work and the idea of combining fixed point theory on intuitionistic fuzzy metric spaces and graph theory, we present some iterative scheme results for $G$-fuzzy contractive and $G$-fuzzy nonexpansive mappings on graphs.

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