Extended b-metric space, extended b-comparison function and nonlinear contractions

被引：0

作者：

Samreen, Maria ^{[1
]}

Kamran, Tayyab ^{[1
,2
]}

Postolache, Mihai ^{[3
,4
,5
]}

机构：

[1] Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

[2] School of Natural Sciences, National University of Science and Technology, H-12, Islamabad, Pakistan

[3] China Medical University, Taichung,40402, Taiwan

[4] Gh. Mihoc−C. Iacob Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Bucharest,050711, Romania

[5] University Politehnica of Bucharest, Bucharest,060042, Romania

来源：

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2018年 / 80卷 / 04期

关键词：

Fixed point arithmetic - Set theory - Functional analysis - Topology - Functions - Integral equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Fagin et al. used some kind of relaxed triangle inequality for the distance measure in pattern matching and called this measure as non-linear elastic matching. Intrigued by such idea, recently, Kamran et al. introduced a new intuitive concept of distance measure to extend the notion of b-metric space. We present some fixed point theorems when the underlying ambient space is an extended b-metric space and the contraction condition involve a new class of comparison functions. To substantiate the validity of our results we obtain many well-known pre-existing results in literature. Moreover, we have applied our result to study the solution to an integral equation. © 2018, Politechnica University of Bucharest. All rights reserved.

引用

页码：21 / 28