New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces

被引：3

作者：

Saleh, Hayel N. ^{[1
,2
]}

Imdad, Mohammad ^{[1
]}

Abdeljawad, Thabet ^{[3
,4
,5
]}

Arif, Mohammad ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

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

[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

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

[5] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

关键词：

BANACH-CACCIOPPOLI TYPE; THEOREM;

D O I：

10.1155/2020/9491786

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the notion of generalized L-contractions which enlarge the class of Script capital L-contractions initiated by Cho in 2018. Thereafter, we also, define the notion of L*-contractions. Utilizing our newly introduced notions, we establish some new fixed-point theorems in the setting of complete Branciari's metric spaces, without using the Hausdorff assumption. Moreover, some examples and applications to boundary value problems of the fourth-order differential equations are given to exhibit the utility of the obtained results.

引用

页数：11

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