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.
Mishra, U., Vetro, C., Kumam, P. (2016). On modified α-ϕ-fuzzy contractive mappings and an application to integral equations. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016(1), 1-15 [10.1186/s13660-016-1007-2].
On modified α-ϕ-fuzzy contractive mappings and an application to integral equations
Vetro, C;
2016-01-01
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.
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