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

页码：359 / 368

页数：10

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