Common fixed points for alpha-psi-phi-contractions in generalized metric spaces

Abstract

We establish some common fixed point theorems for mappings satisfying an α-ψ-ϕ-contractive condition in generalized metric spaces. Presented theorems extend and generalize many existing results in the literature. Erratum to “Common fixed points for α-ψ-φ-contractions in generalized metric spaces” In Example 1 of our paper [V. La Rosa, P. Vetro, Common fixed points for α-ψ-ϕ-contractions in generalized metric spaces, Nonlinear Anal. Model. Control, 19(1):43–54, 2014] a generalized metric has been assumed. Nevertheless some mistakes have appeared in the statement. The aim of this note is to correct this situation.

Keywords

• generalized metric space
• α-ψ-ϕ-contractive condition
• contraction of integral type
• fixed point
• common fixed point