A Study on the Modified Fuzzy Normed Space and the Fixed Point Theorem with Application

Intesar Harbi; Ahmed  Ghanawi Jasim

doi:10.5269/bspm.77797

Intesar Harbi Open College of Education-Al-Diwaniyah Center, Iraq
Ahmed Ghanawi Jasim Department of Mathematics, College of Computer Science and Mathematics, University of Thi-Qar, Iraq

Résumé

In this paper, we introduce a new space, the modified fuzzy normed space, by extending the concept of fuzzy normed space to include the basic concepts of normed spaces. We define two types of contractions on this space: fuzzy 𝔎-type contraction and weak fuzzy 𝔎-type contraction. We introduce a fixed-point theorem in this space. Applying our results, we prove the existence of a solution to a nonlinear integral equation using the obtained results.

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Références

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