Hybrid Ciric Type Graphic (Υ, Λ)-Contraction Mappings with Applications to Electric Circuit and Fractional Differential Equations

被引：64

作者：

Ameer, Eskandar ^{[1
,2
]}

Aydi, Hassen ^{[3
,4
]}

Arshad, Muhammad ^{[1
]}

De la Sen, Manuel ^{[5
]}

机构：

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

[2] Taiz Univ, Dept Math, POB 6803, Taizi, Yemen

[3] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City 758307, Vietnam

[4] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City 758307, Vietnam

[5] Univ Basque Country, Inst Res & Dev Proc, Leioa 48940, Spain

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 03期

关键词：

fixed point; a directed graph; Ciric type graphic (Upsilon; Lambda)-contraction pair of mappings; electric circuit equations; fractional differential equations; FIXED-POINT THEOREMS; B-METRIC SPACES; CONTRACTIONS;

D O I：

10.3390/sym12030467

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we initiate the notion of Ciric type rational graphic (Upsilon, Lambda)-contraction pair mappings and provide some new related common fixed point results on partial b-metric spaces endowed with a directed graph G. We also give examples to illustrate our main results. Moreover, we present some applications on electric circuit equations and fractional differential equations.

引用

页数：21

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