Novel Fuzzy Contractions and Applications to Engineering Science

The article outlines a creative approach by fusing ideas from fuzzy contractions, graphmappings, and Kannan mappings to create a brand-new notion known as "Kannan-graph-fuzzy contraction".This combination of concepts makes it possible to create a unique framework for resolvingreal-world issues controlled by nonlinear models. It is anticipated that using Kannan-graph-fuzzycontractions will offer a fresh approach to discussing solution existence in situations where these ideasoverlap. This strategy might have a significant impact on a lot of real-world applications, provinghow practical multidisciplinary techniques are for tackling issues in the real world originating fromtechnology and engineering. The article includes several illustrated examples based on computersimulations, making the results more explicit.