Some generalized fixed point results in a b -metric space and application to matrix equations

Fixexd point theory and applications

Kaivatath Puthalath Reshma¹  Hossam A Nabwey²  Reny George³  Mahdy S El-Paoumy³  Hemant Kumar Pathak⁴ 

[1] Department of Engineering Basic Sciences, Faculty of Engineering, Menofia University, Menofia, Egypt;Department of Mathematics and Computer Science, St. Thomas College, Bhilai, India;Department of Mathematics, College of Science, Salman bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia;School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur, India

关键词: 47H10;    coincident point;    common fixed point;    b-metric space;    matrix equation;   

DOI  :  10.1186/s13663-015-0343-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We have proved a generalized Presic-Hardy-Rogers contraction principle and Ciric-Presic type contraction principle for two mappings in a b-metric space. As an application, we derive some convergence results for a class of nonlinear matrix equations. Numerical experiments are also presented to illustrate the convergence algorithms.

【 授权许可】

CC BY