Fixed point results for dominated mappings in rectangular b-metric spaces with applications

被引：2

作者：

Shoaib, Abdullah ^{[1
]}

Rasham, Tahair ^{[2
]}

Marino, Giuseppe ^{[3
]}

Lee, Jung Rye ^{[4
]}

Park, Choonkil ^{[5
]}

机构：

[1] Riphah Int Univ, Dept Math & Stat, Islamabad 44000, Pakistan

[2] Int Islamic Univ, Dept Math, H-10, Islamabad 44000, Pakistan

[3] Univ Calabria, Dipartimento Matemat & Informat, I-87036 Arcavacata Di Rende, CS, Italy

[4] Daejin Univ, Dept Math, Kyunggi 11159, South Korea

[5] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 05期

关键词：

fixed point; complete rectangular b-metric space; alpha-dominated mapping; Ciric type rational contraction condition; partial order; <=-dominated mapping; graph dominated mapping;

D O I：

10.3934/math.2020335

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some fixed point results for alpha-dominated mappings fulfilling new generalized locally Ciric type rational contraction conditions in complete rectangular b-metric space. As an application, we establish the existence of fixed point of <=-dominated mappings in an ordered complete rectangular b-metric space. The notion of graph dominated mappings is introduced. Fixed point results with graphic contractions for such mappings are established.

引用

页码：5221 / 5229

页数：9

共 21 条

[1] Common fixed points of α-dominated multivalued mappings on closed balls in a dislocated quasi b-metric space [J].