Scopus İndeksli Yayınlar Koleksiyonu

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

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Scopus Q: search.filters.scopusQuartile.Q3Subject: search.filters.subject.Best Proximity Point

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  • Article
    Citation - WoS: 12
    Citation - Scopus: 13
    Mann and Ishikawa Iterative Processes for Cyclic Relatively Nonexpansive Mappings in Uniformly Convex Banach Spaces
    (Yokohama Publications, 2021) Aliyari, M.; Gabeleh, M.; Karapinar, E.
    In this manuscript, we study the convergence of best proximity points for cyclic relatively nonexpansive mappings in the setting of uniformly convex Banach spaces by using a projection operator defined on proximal pairs. To this end, we consider the Mann and Ishikawa iteration schemes and obtain strong convergence results for cyclic relatively nonexpansive mappings. A nu¬merical example is presented to support the main result. We then discuss on noncyclic version of relatively nonexpansive mappings in order to study some convergence conclusions in both uniformly convex Banach spaces and Hilbert spaces. © 2021 Yokohama Publications. All rights reserved.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 2
    A Discussion on the Coincidence Quasi-Best Proximity Points
    (Univ Nis, Fac Sci Math, 2021) Abkar, Ali; Karapinar, Erdal; Fouladi, Farhad
    In this paper, we first introduce a new class of the pointwise cyclic-noncyclic proximal contraction pairs. Then we consider the coincidence quasi-best proximity point problem for this class. Finally, we study the coincidence quasi-best proximity points of weak cyclic-noncyclic Kannan contraction pairs. We consider an example to indicate the validity of the main result.
  • Article
    Citation - WoS: 12
    Citation - Scopus: 9
    Best Proximity Point Results for Contractive and Cyclic Contractive Type Mappings
    (Taylor & Francis inc, 2021) Karapinar, Erdal; Kanta Dey, Lakshmi; Hiranmoy, Garai
    The essential importance of the best proximity point theory is that "best proximity point theory" appears in the coincidence of "metric fixed point theory" and "optimization theory." So finding best proximity points of mappings satisfying different type of contractive conditions in different structures is one of the fascinating research topics. For this, in this article, we first introduce a new type of proximal property of a pair of subsets of a metric space, which we designate as proximal weakly compact pair. After this, we come up with some new type of proximal contractive and proximal cyclic contractive mappings. Then we investigate the existence of best proximity point(s) in these newly originated mappings in the setting of proximal weakly compact pair of subsets in a metric space.