Existence of φ-fixed point for generalized contractive mappings

Abstract

In this paper, we first define the generalized (F, φ, α−ψ)-contraction mappings. In the following, we consider the conditions in which these mappings have a φ-fixed point and also we present examples and applications of these mappings in partial metric space and integral equations.

Keywords

• φ-fixed point
• (f
• φ)-contractive
• generalized (f
• φ
• α−ψ)-contractive mapping
• partial metric spaces