DISLOCATED QUASI-METRIC AND GENERALIZED CONTRACTIONS

被引：4
|
作者：
Pasicki, Lech [1 ]
机构：
[1] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland
来源：
FIXED POINT THEORY | 2018年 / 19卷 / 01期
关键词：
Dislocated quasi-metric; fixed point; generalized contraction; cyclic mapping;
D O I：
10.24193/fpt-ro.2018.1.27
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper contains some fixed point theorems for generalized contractions in dislocated quasi-metric spaces. The simplest requirement is condition: p(f (y), (x)) <= g(p(y,x)), for all x, y is an element of X, where p is a dislocated quasi-metric on X (if p(x, y) = p(y, x) = 0, then x = y; 0 <= p(x, z) <= p(x, y) + p(y, z)) and g is a comparison function of a general type. Our results are far extensions of some known fixed point theorems for dislocated quasi-metric spaces.
引用
收藏
页码：359 / 368
页数：10
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