An extension of Matkowski’s and Wardowski’s fixed point theorems with applications to functional equations

被引：0
|
作者：
Deepak Khantwal
U. C. Gairola
机构：
[1] H.N.B. Garhwal University,Department of Mathematics
来源：
Aequationes mathematicae | 2019年 / 93卷
关键词：
Fixed point; Matkowski contraction; Wardowski contraction; Product space; Iterative functional equation; Bounded solution; Primary 47H10; Secondary 54H25; 39B12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove a fixed point theorem for a system of maps on the finite product of metric spaces. Our result generalizes the result of Matkowski (Bull Acad Pol Sci Sér Sci Math Astron Phys 21:323–324, 1973), Cosentino and Vetro (Filomat 28(4):715–722, 2014) and Hardy and Rogers (Can Math Bull 16(2):201–206, 1973) and other results in the literature. Moreover, we have an application for a system of functional equations and an example to illustrate our result.
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页码：433 / 443
页数：10
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