FIXED POINT THEOREM FOR CYCLIC (μ,ψ,φ)- WEAKLY CONTRACTIONS

  • SUMIT CHANDOK
    Department of Mathematics, Khalsa College of Engineering & Technology (Punjab Technical University), Ranjit Avenue, Amritsar 143001, INDIA
    chansok.s@gmail.com
  • VALERIU POPA
    "Vasile Alecsandri" University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA
    vpopa@ub.ro

Abstract

In this article, we introduce the notion of cyclic (μ,ψ,φ)-weakly contraction and derive the existence of fixed point for such mappings in the setup of complete metric spaces. Our result extend and improve some fixed point theorems in the literature.

Cuvinte cheie

complete metric space; fixed point; cyclic (μ ψ φ)-weakly contraction