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In this paper, we establish some new inequalities of Simpson's type based on s-convexity via fractional integrals. Our results generalize the results obtained by Sarikaya et al. [1].

In this paper, we prove some new fixed point theorems for fuzzy mappings under a G-distance function and a G -distance function in complete metric spaces. Our results extend, generalize, and improve some existing results. Moreover, an example and an application are given here to illustrate the usability of the obtained results. MSC: 47H10; 54H25

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