Fixed point theorem for mappings satisfying contractive condition of integral type on intuitionistic fuzzy metric space
محورهای موضوعی : Fixed point theory
M. E. Samei
1
(Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran)
کلید واژه: fixed point, Intuitionistic fuzzy metric space, $A$-fuzzy contractions,
چکیده مقاله :
In this paper, we shall establish some fixed point theorems for mappings with the contractive condition of integrable type on complete intuitionistic fuzzy metric spaces $(X, M,N,*,\lozenge)$. We also use Lebesgue-integrable mapping to obtain new results. Akram, Zafar, and Siddiqui introduced the notion of $A$-contraction mapping on metric space. In this paper by using the main idea of the work, we introduce the concept of $A$-fuzzy contractive mappings. Finally, we support our results by some examples.
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