A New φ-Generalized Quasi Metric Space with Some Fixed Point Results and Applications

被引：1

作者：

Abbas, Mujahid ^{[1
,2
]}

Leyew, Bahru Tsegaye ^{[3
]}

Khan, Safeer Hussain ^{[4
]}

机构：

[1] Govt Coll Univ, Dept Math, Lahore 54000, Pakistan

[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[3] Univ Pretoria, Dept Math & Appl Math, Lynnwood Rd, ZA-0002 Pretoria, South Africa

[4] Qatar Univ, Dept Math Stat & Phys, Doha 2713, Qatar

来源：

FILOMAT | 2017年 / 31卷 / 11期

关键词：

phi-generalized quasi metric space; fixed point; (alpha-psi)-contractions; domain of words; delay differential equations; THEOREM; DOMAIN;

D O I：

10.2298/FIL1711157A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the concept of a new phi-generalized quasi metric space is introduced. A number of well-known quasi metric spaces are retrieved from phi-generalized quasi metric space. Some general fixed point theorems in a phi-generalized quasi metric spaces are proved, which generalize, modify and unify some existing fixed point theorems in the literature. We also give applications of our results to obtain fixed points for contraction mappings in the domain of words and to prove the existence of periodic solutions of delay differential equations.

引用

页码：3157 / 3172

页数：16

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