On modified α-ϕ-fuzzy contractive mappings and an application to integral equations

Abstract

Abstract We introduce the notion of a modified α-ϕ-fuzzy contractive mapping and prove some results in fuzzy metric spaces for such kind of mappings. The theorems presented provide a generalization of some interesting results in the literature. Two examples and an application to integral equations are given to illustrate the usability of our theory.

Keywords

• α-admissible mapping with respect to η
• fixed point
• modified α-ϕ-fuzzy contractive mapping
• integral equations