Proximity points for cyclic 2-convex contraction mappings

M. S. Khan*, M. Menaka, Geno Kadwin Jacob, M. Marudai

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, the existence of proximity point for cyclic 2-convex contraction mappings, weakly cyclic 2-convex contraction mappings and M-weakly cyclic 2-convex con-traction mappings are proved in the metric space setting. Our result is an natural general-ization to result discussed in Istraescu [6].

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalNonlinear Functional Analysis and Applications
Volume25
Issue number1
DOIs
Publication statusPublished - Mar 1 2020

Keywords

  • Cyclic 2-convex contraction mappings
  • Proximity point
  • Weakly cyclic 2-convex contraction mappings and M-weakly cyclic 2-convex contraction mappings

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Control and Optimization
  • Applied Mathematics

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