DSpace@Çankaya

Yazar "Karapınar, Erdal" için Matematik Bölümü listeleme

Yazar "Karapınar, Erdal" için Matematik Bölümü listeleme

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  • On hybrid contractions in the context of quasi-metric spaces 
    Fulga, Andreea; Karapınar, Erdal; Petruşel, Gabriela (2020-05-01)
    In this manuscript, we will investigate the existence of fixed points for mappings that satisfy some hybrid type contraction conditions in the setting of quasi-metric spaces. We provide examples to assure the validity of ...
  • On hybrid contractions via simulation function in the context of quasi-metric spaces 
    Karapınar, Erdal; Fulga, Andreea (2021)
    In this manuscript, we aim at investigating the existence of a fixed point theorem for the mappings that satisfy hybrid contraction in the setting of quasi-metric spaces. We provide examples to indicate the validity of the ...
  • On Interpolative Boyd-Wong And Matkowski Type Contractions 
    Karapınar, Erdal; Aydi, Hassen; Mitrovic, Zoran D. (2020)
    By using an interpolation approach, we recognize Boyd-Wong and Matkowski type contractions and we prove the related fixed point theorems in the class of metric spaces. The obtained results are supported by some examples. ...
  • On Interpolative Hardy-Rogers Type Multivalued Contractions via a Simulation Function 
    Karapınar, Erdal; Ali, Ahsan; Hussain, Azhar; Aydi, Hassen (2022-01)
    In this paper, the notion of multivalued interpolative Hardy-Rogers-contractions using generalized simulation functions is introduced. We establish some related fixed point results and we provide some examples. We also ...
  • On p-hybrid Wardowski contractions 
    Karapınar, Erdal; Aydi, Hassen; Fulga, Andreea (2020)
    The goal of this work is to introduce the concept of p-hybrid Wardowski contractions. We also prove related fixed-point results. Moreover, some illustrated examples are given. © 2020 Erdal Karapinar et al.
  • On pata-suzuki-type contractions 
    Karapınar, Erdal; Bindu, V.M.L. Hima (2020-03-01)
    In this manuscript, we introduce two notions, Pata-Suzuki Z-contraction and Pata Z-contraction for the pair of self-mapping g, f in the context of metric spaces. For such types of contractions, both the existence and ...
  • On surrounding quasi-contractions on non-triangular metric spaces 
    Karapınar, Erdal; Khojasteh, Farshid; Mitrović, Zoran D.; Rakočević, Vladimir (2020-01-01)
    The aim of this paper is to establish some fixed point results for surrounding quasi-contractions in non-triangular metric spaces. Also, we prove the Banach principle of contraction in non-triangular metric spaces. As ...
  • On the fixed points of iterative contractive mappings defined via implicit relation 
    Aksoy, Ümit; Erhan, İnci M.; Fulga, Andreea; Karapınar, Erdal (2021)
    In this paper, we consider an implicit relation to generalize iterative fixed point results in the literature in the context of metric spaces. We conclude that several existing results are immediate consequences of our ...
  • ON THE INTERPOLATIVE (phi, psi)-TYPE Z-CONTRACTION 
    Khan, Mohammad S.; Singh, Y. Mahendra; Karapınar, Erdal (2021)
    In this paper, we introduce the notions of interpolative (phi, psi)-type Z-contraction with respect to simulation function and quasi triangular theta-orbital admissible mapping. Using these notions, some fixed point theorems ...
  • On the solution of a boundary value problem associated with a fractional differential equation 
    Sevinik Adigüzel, Rezan; Aksoy, Ümit; Karapınar, Erdal; Erhan, İnci M. (2020)
    The problem of the existence and uniqueness of solutions of boundary value problems (BVPs) for a nonlinear fractional differential equation of order 2<α ≤ 3 is studied. The BVP is transformed into an integral equation and ...
  • ON THE SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS VIA GERAGHTY TYPE HYBRID CONTRACTIONS 
    Adiguzel, Rezan Sevinik; Aksoy, Umit; Karapınar, Erdal; Erhan, Inci M. (2021)
    The aim of this article is twofold. Firstly, to study fixed points of mappings on b metric spaces satisfying a general contractive condition called Geraghty type hybrid contraction. Secondly, to apply the theoretical results ...
  • On wong type contractions 
    Karapınar, Erdal; Fulga, Andreea (2020-04-01)
    In this paper, by using admissible mapping, Wong type contraction mappings are extended and investigated in the framework of quasi-metric spaces to guarantee the existence of fixed points. We consider examples to illustrate ...
  • Pata type contractions involving rational expressions with an application to integral equations 
    Karapınar, Erdal; Atangana, Abdon; Fulga, Andreea (2021-10)
    In this paper, we introduce the notion of rational Pata type contraction in the complete metric space. After discussing the existence and uniqueness of a fixed point for such contraction, we consider a solution for integral ...
  • Perov Type Mappings With A Contractive Iterate 
    Karapınar, Erdal; Agarwal, Ravi P.; Yeşilkaya, Seher Sultan (2021)
    In this study, we refine the well-known Perov fixed point theorem by using the idea of the contractive iterative at a point in the framework of vector valued metric space. The obtained results of this paper cover the some ...
  • Perov-Type Contractions 
    Cvetković, Marija; Karapınar, Erdal; Rakočević, Vladimir; Yeşilkaya, Seher Sultan (Springer, 2022)
    In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume. It is addressed to graduate students, research mathematicians, ...
  • Perov-type results for multivalued mappings 
    Cvetković, Marija; Karapınar, Erdal; Rakočevié, Vladimir; Yeşilkaya, Seher Sultan (2023-03-20)
    Inspired by the results of Russian mathematician A. I. Perov from the 1960s, several authors have studied and extended these results by generalizing the contractive condition or changing the setting. In this chapter, we ...
  • Preliminary Background 
    Benchohra, Mouffak; Karapınar, Erdal; Lazreg, Jamal Eddine; Salim, Abdelkrim (2023-05-12)
    In this chapter, we discuss the necessary mathematical tools, notations, and concepts we need in the succeeding chapters. We look at some essential properties of fractional differential operators. We also review some of ...
  • Proinov-type fixed-point results in non-Archimedean fuzzy metric spaces 
    Roldán López de Hierro, Antonio Francisco; Fulga, Andreea; Karapınar, Erdal; Shahzad, Naseer (2021-07-02)
    Very recently, Proinov introduced a great family of contractions in the setting of complete metric spaces that has attracted the attention of many researchers because of the very weak conditions that are assumed on the ...
  • Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem 
    Abdeljawad, Thabet; Karapınar, Erdal (Springer International Publishing, 2009)
    Cone-valued lower semicontinuous maps are used to generalize Cristi-Kirik's fixed point theorem to Cone metric spaces. The cone under consideration is assumed to be strongly minihedral and normal. First we prove such a ...
  • Recent Advances On Metric Fixed Point Theory: A Review 
    Karapınar, Erdal (2023)
    In this note, we underline that some of the recent metric fixed point results overlap or repeat the previously existing corresponding ones. Further, we observe that some recently published results, which we might perceive ...