New Fixed Point Results of Generalized g-Quasi-Contractions in Cone b-Metric Spaces Over Banach Algebras

被引：1

作者：

Shaoyuan Xu ^{[1
]}

Suyu Cheng ^{[2
]}

Suzana Aleksi ^{[3
]}

Yongjie Piao ^{[4
]}

机构：

[1] School of Mathematics and Statistics, Hanshan Normal University

[2] Library, Hanshan Normal University

[3] Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac

[4] Department of Mathematics, College of Science, Yanbian University

来源：

Analysis in Theory and Applications | 2017年 / 33卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Cone b-metric spaces over Banach algebras; non-normal cones; c-sequences; generalized g-quasi-contractions; fixed point theorems;

D O I：

暂无

中图分类号：

O177.2 [巴拿赫空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of generalized g-quasi-contractions in the setting of cone b-metric spaces over Banach algebras. By omitting the assumption of normality we establish common fixed point theorems for the generalized gquasi-contractions with the spectral radius r(λ) of the g-quasi-contractive constant vector λ satisfying r(λ) ∈ [0,1/s) in the setting of cone b-metric spaces over Banach algebras, where the coefficient s satisfies s ≥ 1. The main results generalize, extend and unify several well-known comparable results in the literature.

引用

页码：118 / 133

页数：16

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