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Article Citation - Scopus: 1APPLICATIONS 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.Article Citation - Scopus: 3Coincidence Points for Expansive Mappings Under C-Distance in Cone Metric Spaces(2012) Aydi,H.; Karapinar,E.; Moradi,S.We establish some fixed (common fixed) and coincidence point results for mappings verifying some expansive type contractions in cone metric spaces with the help of the concept of a c-distance. Our results generalize, extend, and unify several well-known comparable results in the literature. Some examples are also presented. Copyright © 2012 Hassen Aydi et al.Book Citation - Scopus: 115Fixed Point Theory in Metric Type Spaces(Springer International Publishing, 2016) Agarwal,R.P.; Karapinar,E.; O’regan,D.; Roldán-López-De-Hierro,A.F.Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research. © David Ralph 2015.Article Citation - Scopus: 13Some tripled coincidence point theorems for almost generalized contractions in ordered metric spaces(2013) Aydi,H.; Karapinar,E.; Mustafa,Z.In this paper, we prove tripled coincidence and common fixed point theorems for F : X × X × X → X and g : X → X satisfying almost generalized contractions in partially orderedmetric spaces. The presented results generalize the theoremof Berinde and Borcut [Tripled fixed point theorems for contractive typemappings in partially orderedmetric spaces, Nonlinear Anal. 74 (15) (2011) 4889-4897]. Also, some examples are presented.Article Citation - Scopus: 29Fixed Point Theorem on Partial Metric Spaces Involving Rational Expressions(University of Miskolc, 2013) Karapinar,E.; Shatanawi,W.; Tas,K.We establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result. © Miskolc University Press.Article Citation - Scopus: 76Fixed Points of Generalized Α-Admissible Contractions on B-Metric Spaces With an Application To Boundary Value Problems(Yokohama Publications, 2016) Aksoy,Ü.; Karapinar,E.; Erhan,I.M.A general class of α-admissible contractions defined via (b)-comparison functions on b-metric spaces is discussed. Existence and uniqueness of the fixed point for this class of contractions is studied. Some consequences are presented. The results are employed in the discussion of existence and uniqueness of solutions of first order boundary value problems for ordinary differential equations. © 2016.Article Citation - WoS: 11Citation - Scopus: 7Edelstein Type Fixed Point Theorems(Tusi Mathematical Research Group, 2011) Karapinar,E.; Karapınar, Erdal; Karapınar, Erdal; Mathematics; MathematicsRecently, Suzuki [Nonlinear Anal. 71 (2009), no. 11, 5313-5317.] published a paper on which Edelstein’s fixed theorem was generalized. In this manuscript, we give some theorems which are the generalization of the fixed theorem of Suzuki’s Theorems and thus Edelstein’s result [J. London Math. Soc. 37 (1962), 74-79]. © 2011, Duke University Press. All rights reserved.Article Existence of Fixed Points for New Presic Type Multivalued Operators(Yokohama Publications, 2017) Ali,M.U.; Kamran,T.; Karapinar,E.In this paper, we shall generalize the convergence theorem introduced by Presic in 1965, by introducing the notions of a-Presic type contractive multivalued operators. We shall also construct some examples to prove the generality of our results. © 2017.Article Citation - Scopus: 10Note on “modified Α-Ψ Mappings With Applications”(Chiang Mai University, 2015) Berzig,M.; Karapinar,E.In this short paper, we unexpectedly notice that the modified version of α-ψ-contractivemappings, suggested by Salimi et al. [Modified α-ψ-contractive mappings with applications, Fixed Point Theory and Applications 2013, 2013:151] is not a real generalization. © 2015 by the Mathematical Association of Thailand. All rights reserved.Book Part Citation - Scopus: 14A Short Survey on Dislocated Metric Spaces Via Fixed-Point Theory(Springer Singapore, 2017) Karapinar,E.In this survey, we collect and combine basic notions and results for the fixed points of certain operators in the frame of dislocated metric (respectively, b-metric) spaces. By preparing a fundamental source, we shall aim to show that there are some rooms for researchers in this interesting and applicable research direction. © Springer Nature Singapore Pte Ltd. 2017. All rights reserved.
