2021
DOI: 10.3390/math9050541
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Some Fixed Point Results of Weak-Fuzzy Graphical Contraction Mappings with Application to Integral Equations

Abstract: The present paper aims to introduce the concept of weak-fuzzy contraction mappings in the graph structure within the context of fuzzy cone metric spaces. We prove some fixed point results endowed with a graph using weak-fuzzy contractions. By relaxing the continuity condition of mappings involved, our results enrich and generalize some well-known results in fixed point theory. With the help of new lemmas, our proofs are straight forward. We furnish the validity of our findings with appropriate examples. This a… Show more

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Cited by 2 publications
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“…We review some fundamental ideas related to the connectedness of graphs. They may all be found, for instance, in [14,23,25].…”
Section: Preliminary Conceptsmentioning
confidence: 97%
“…We review some fundamental ideas related to the connectedness of graphs. They may all be found, for instance, in [14,23,25].…”
Section: Preliminary Conceptsmentioning
confidence: 97%