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

共 50 条

[41] A quasi-metric for machine learning
Gutiérrez-Naranjo, MA
Alonso-Jiménez, JA
Borrego-Díaz, J
ADVANCES IN ARTIFICIAL INTELLIGENCE - IBERAMIA 2002, PROCEEDINGS, 2002, 2527 : 193 - 203
[42] METRIZABILITY OF QUASI-METRIC SPACES
RAGHAVAN, TG
REILLY, IL
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1977, 15 (JAN): : 169 - 172
[43] REMARKS ON QUASI-METRIC SPACES
Dung, N. V.
MISKOLC MATHEMATICAL NOTES, 2014, 15 (02) : 401 - 422
[44] What Is the Aggregation of a Partial Metric and a Quasi-metric?
Minana, Juan-Jose
Valero, Oscar
INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS: THEORY AND FOUNDATIONS, IPMU 2018, PT I, 2018, 853 : 231 - 243
[45] Basic Contractions of Suzuki-Type on Quasi-Metric Spaces and Fixed Point Results
Romaguera, Salvador
MATHEMATICS, 2022, 10 (21)
[46] Dislocated quasi-b-metric spaces and fixed point theorems for cyclic contractions
Klin-eam, Chakkrid
Suanoom, Cholatis
FIXED POINT THEORY AND APPLICATIONS, 2015,
[47] Dislocated quasi-b-metric spaces and fixed point theorems for cyclic contractions
Chakkrid Klin-eam
Cholatis Suanoom
Fixed Point Theory and Applications, 2015
[48] Interpolation and duality of generalized grand Morrey spaces on quasi-metric measure spaces
Liu, Yi
Yuan, Wen
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2017, 67 (03) : 715 - 732
[49] Generalized fixed point theorem for three mappings on Three quasi-metric spaces
Kikina, Luljeta
Kikina, Kristaq
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (02) : 228 - 238
[50] Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces
Chen, Chi-Ming
Karapinar, Erdal
Rakocevic, Vladimir
JOURNAL OF APPLIED MATHEMATICS, 2014,

← 1 2 3 4 5 →