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

Journal of inequalities and applications

Urmila Mishra¹ 

关键词: α-admissible mapping with respect to η;    fixed point;    modified α-ϕ-fuzzy contractive mapping;    integral equations;    47H10;    45D05;   

DOI  :  10.1186/s13660-016-1007-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY