Reduced Assumption in the Banach Contraction Principle | Science Publications

Journal of Mathematics and Statistics

Sahar M. Ali¹ 

关键词: Reduced assumption;    contraction mapping;    Banach contraction principle;    normed spaces;   

DOI  :  10.3844/jmssp.2006.343.345

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

In this study we introduce a novel class of normed spaces called weakly Cauchy normed spaces not necessarily complete in general and proved the existence of a fixed point of contraction mappings in these spaces, this is weaker assumption than the completeness assumption imposed on the given normed space on the other side the contraction condition valid only on a closed convex subset of the given space.

【 授权许可】

Unknown