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    S-iterative algorithm for solving variational inequalities
    (TAYLOR & FRANCIS LTD, 2020) Erturk, Muzeyyen; Gursoy, Faik; Simsek, Necip
    In this paper we propose an S-iterative algorithm for finding the common element of the set of solutions of the variational inequalities and the set of fixed points of nonexpansive mappings. We study the convergence criteria of the mentioned algorithm under some mild conditions. As an application, a modified algorithm is suggested to solve convex minimization problems. Numerical examples are given to validate the theoretical findings obtained herein. Our results may be considered as an improvement, refinement and complement of the previously known results.
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    ?-Statistical Convergence of Sequences of Functions in Intuitionistic Fuzzy Normed Spaces
    (Hindawi Ltd, 2012) Karakaya, Vatan; Simsek, Necip; Erturk, Muzeyyen; Gursoy, Faik
    We study lambda-statistically convergent sequences of functions in intuitionistic fuzzy normed spaces. We define concept of lambda-statistical pointwise convergence and lambda-statistical uniform convergence in intuitionistic fuzzy normed spaces and we give some basic properties of these concepts.