Graphic Contraction Mappings via Graphical b-Metric Spaces with Applications

被引：23

作者：

Chuensupantharat, Nantaporn ^{[1
]}

Kumam, Poom ^{[2
,3
]}

Chauhan, Varsha ^{[4
]}

Singh, Deepak ^{[5
]}

Menon, Radhika ^{[6
]}

机构：

[1] KMUTT, Fac Sci, Dept Math, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[2] KMUTT, Fac Sci, Dept Math, KMUTTFixed Point Res Lab, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

[3] KMUTT, Fac Sci, Theoret & Computat Sci TaCS Ctr, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

[4] NRI Inst Res & Technol, Dept Math, Bhopal, Madhya Pradesh, India

[5] Govt India, Minist HRD, NITTTR, Dept Appl Sci, Bhopal 462002, Madhya Pradesh, India

[6] Dr DY Patil Inst Technol, Dept Math, Pune, Maharashtra, India

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 06期

关键词：

Graph; Graphic contraction mappings; Ordered b-metric space; FIXED-POINT THEOREMS; PROOF;

D O I：

10.1007/s40840-018-0651-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce graphic contraction mappings in b-metric spaces and establish some fixed point theorems in the aforesaid space. Appropriate graphs are presented to visualize related definitions and concepts. On the other hand, some examples are presented to verify the authenticity and effectiveness of the established results. Our results generalize and extend some pioneer results existing in the literature. Moreover, applications to existence of solution for ordinary differential equations and for integral equations are also established to show the adequacy of our results.

引用

页码：3149 / 3165

页数：17

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