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  • 标题:Observations on relation-theoretic coincidence theorems under Boyd–Wong type nonlinear contractions
  • 本地全文:下载
  • 作者:Aftab Alam ; Mohammad Imdad ; Mohammad Arif
  • 期刊名称:Fixed Point Theory and Applications
  • 印刷版ISSN:1687-1820
  • 电子版ISSN:1687-1812
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-21
  • DOI:10.1186/s13663-019-0656-5
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this article, we carry out some observations on existing metrical coincidence theorems of Karapinar et al. (Fixed Point Theory Appl. 2014:92, 2014) and Erhan et al. (J. Inequal. Appl. 2015:52, 2015) proved for Lakshmikantham–Ćirić-type nonlinear contractions involving $(f,g)$ -closed transitive sets after proving some coincidence theorems satisfying Boyd–Wong-type nonlinear contractivity conditions employing the idea of $(f,g)$ -closed locally f-transitive binary relation.
  • 关键词:R-complete metric spaces; Locally f-transitive binary relations; (g; d)-self-closedness; R-connectedness
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