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Subject: integral equation

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Now showing 1 - 3 of 3
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    Article
    Citation - Scopus: 1
    APPLICATIONS OF NON-UNIQUE FIXED POINT THEOREM OF CIRIC TO NONLINEAR INTEGRAL EQUATIONS
    (Department of Mathematics and Computer Sciences, University of Prishtina, 2019) Sevіnіk-Adigіüzel,R.; Karapinar,E.; Erhan,I.
    In this paper we discuss the application of the non-unique fixed point theorem of Cirić to nonlinear Fredholm integral equations. We establish an existence theorem for the solutions of such integral equations and apply the theorem to particular examples. © 2019 Universiteti i Prishtinës, Prishtinë, Kosovë.
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    Article
    Citation - WoS: 89
    Citation - Scopus: 97
    Modified f-contractions Via α-admissible Mappings and Application To Integral Equations
    (Univ Nis, Fac Sci Math, 2017) Aydi, Hassen; Karapinar, Erdal; Yazidi, Habib
    In this paper, we introduce the concept of a modified F-contraction via alpha-admissible mappings and propose some theorems that guarantee the existence and uniqueness of fixed point for such mappings in the frame of complete metric spaces. We also provide some illustrative examples. Moreover, we consider an application solving an integral equation.
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    Applications of Non-Unique Fixed Point Theorem of Ciric To Nonlinear Integral Equations
    (int Center Scientific Research & Studies, 2019) Sevinik-Adiguzel, Rezan; Karapinar, Erdal; Erhan, Inci M.
    In this paper we discuss the application of the non-unique fixed point theorem of Ciric to nonlinear Fredholm integral equations. We establish an existence theorem for the solutions of such integral equations and apply the theorem to particular examples.