Fixed Point for New Contraction Mapping in Fréchet Space via Fuzzy Structure with Application
DOI:
https://doi.org/10.32792/jeps.v15i4.734Keywords:
Keywords: ϑ-acceptable mapping, ϑ-θ-fuzzy augmented contraction mapping, fuzzy Fréchet space(FF-space).Abstract
In this article, we introduce a new type of fuzzy contraction mapping in a fuzzy Fréchet space . This type is known as the fuzzy augmented contraction mapping, which is defined by acceptable mapping. We prove that this mapping possesses a fixed point by proving two results under specific conditions. To support our theoretical results, we studied an application that demonstrates the effectiveness of our approach in solving and finding a unique solution to an integral equation.
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