Fixed Point Theorems in Cone Banach Spaces

被引：0
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作者：
Erdal Karapınar
机构：
[1] Atılım University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2009卷
关键词：
Banach Space; Partial Order; Point Theorem; Differential Geometry; Normed Space;
D O I：
暂无
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学科分类号：
摘要：
In this manuscript, a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset [inline-graphic not available: see fulltext] of a cone Banach space with the norm [inline-graphic not available: see fulltext], if there exist [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext] satisfies the conditions [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext] for all [inline-graphic not available: see fulltext] , then [inline-graphic not available: see fulltext] has at least one Fixed point.
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