Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Now showing 1 - 6 of 6
  • Article
    Α-Ψ Contracting Perimeters of Triangles
    (Yokohama Publ, 2025) Shahi, Priya; Bilazeroglu, Seyma; Yalcin, Ceylan
    This work presents an advanced development of the newly established idea of "contracting perimeters of triangles". Our current strategy, constructed with the help of functions alpha and Psi, both covers existing research and yields new results. The "alpha-Psi-mapping contracting perimeters of triangles" concept is defined in this study. The differences between this concept and the contracting perimeters of triangles is illustrated with examples. Fixed point theorems are obtained for this type of mappings under some conditions.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 9
    Perov Type Mappings With a Contractive Iterate
    (Yokohama Publ, 2021) Karapinar, Erdal; Karapınar, Erdal; Agarwal, Ravi P.; Yesilkaya, Seher Sultan; Matematik
    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 existing results in this direction in the literature.
  • Article
    Ample Spectrum Contractions in Branciari Distance Spaces
    (Yokohama Publ, 2021) Karapinar, Erdal; Karapınar, Erdal; Lopez de Hierro, Antonio Francisco Roldan; Shahzad, Naseer; De Hierro, A.F.R.L.; Matematik
    Very recently, the notion of ample spectrum contraction has been introduced in order to unify, under the same axioms, a large number of contractive mappings that have had great success in the field of Fixed Point Theory in recent years and that have been used in a wide variety of applications in Nonlinear Analysis (Meir-Keeler contractions, Geragthy contractions, contractions under simulation functions, contractions under R-functions, etc.) However, the subtle conditions that define ample spectrum contractions cannot be extended as they are to new kinds of abstract metric spaces because they involve key properties that are only fulfilled in metric spaces. In this paper, based on a very recent work in which the authors unravel the essential properties of the topology in Branciari spaces, we investigate the reasons why the proposed axiomatic fails in Branciari spaces and we illustrate how to overcome such drawbacks. As a consequence, we characterize the notion of ample spectrum contraction in the setting of Branciari distance spaces and we also investigate the existence and uniqueness of fixed points for such family of contractions in the context of complete Branciari distance spaces.
  • Conference Object
    Citation - WoS: 5
    Citation - Scopus: 7
    On Hybrid Contractions Via Simulation Function in the Context of Quasi-Metric Spaces
    (Yokohama Publ, 2020) Karapinar, Erdal; Fulga, Andreea
    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 observed results.
  • Article
    Citation - WoS: 2
    A Fixed Point Theorem for Ciric Type Contraction on Interpolative Metric Spaces
    (Yokohama Publ, 2024) Bilazeroglu, Seyma; Yalcin, Ceylan
    The purpose of this paper is is aimed at establishing a fixed point result in the framework of interpolative metric spaces, which has just been designated as a new research topic to prevent congestion in fixed point theory.
  • Editorial