Some Fixed-Point Theorems in b-Dislocated Metric Space and Applications

被引：20

作者：

Kumari, Panda Sumati ^{[1
]}

Alqahtani, Obaid ^{[2
]}

Karapinar, Erdal ^{[3
,4
]}

机构：

[1] GMR Inst Technol, Dept Math Basic Sci & Humanities, Rajam 532127, India

[2] King Saud Univ, Dept Math, Riyadh 11451, Saudi Arabia

[3] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey

[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

来源：

SYMMETRY-BASEL | 2018年 / 10卷 / 12期

关键词：

fixed point; b-dislocated metric space (simply b-dislocated metric space); F-contraction; non-linear fractional differential equations of Caputo type; F-CONTRACTIONS;

D O I：

10.3390/sym10120691

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 article, we prove some fixed-point theorems in b-dislocated metric space. Thereafter, we propose a simple and efficient solution for a non-linear integral equation and non-linear fractional differential equations of Caputo type by using the technique of fixed point.

引用

页数：24

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