Browsing by Author "Samet,B."
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Article Citation Count: 10An essential remark on fixed point results on multiplicative metric spaces(Springer International Publishing, 2016) Karapınar, Erdal; Karapınar,E.; Samet,B.; MathematicsIn this short note, we announce that all the presented fixed point results in the setting of multiplicative metric spaces can be derived from the corresponding existing results in the context of standard metric spaces in the literature. © 2016, Agarwal et al.Book Part Citation Count: 2On the approximation of solutions to a fixed point problem with inequality constraints in a Banach space partially ordered by a cone(Springer Singapore, 2017) Karapınar, Erdal; Karapinar,E.; Samet,B.; MathematicsLet E be a Banach space with a cone P. Let T, ϕi: E → E (i = 1, 2) be three given operators. We address the following question: Find x ε E such that where ≤P is the partial order on E induced by the cone P, and 0E is the zero vector of E. We obtain sufficient conditions for the existence and uniqueness of solutions to this problem. We present an iterative algorithm to approximate the solution. The error estimates as well as results concerning the data dependence, well-posedness, limit shadowing property, and sequences of operators are provided. Some interesting consequences are deduced from our main results. © Springer Nature Singapore Pte Ltd. 2017. All rights reserved.Article Citation Count: 22Some generalizations of Darbo’s theorem and applications to fractional integral equations(Springer International Publishing, 2016) Karapınar, Erdal; Karapinar,E.; O’Regan,D.; Samet,B.; MathematicsIn this paper, some generalizations of Darbo’s fixed point theorem are presented. An existence result for a class of fractional integral equations is given as an application of the obtained results. © 2016, Jleli et al.