Fixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings

被引：7
作者：
De la Sen, M. [1 ]
机构：
[1] Univ Basque Country, Inst Invest & Desarrollo Proc, E-48080 Bilbao, Spain
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
NONEXPANSIVE-MAPPINGS; SCHEME; SPACES; CONVERGENCE; THEOREMS;
D O I：
10.1155/2012/817193
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
p(>= 2)-cyclic and contractive self-mappings on a set of subsets of a metric space which are simultaneously accretive on the whole metric space are investigated. The joint fulfilment of the p-cyclic contractiveness and accretive properties is formulated as well as potential relationships with cyclic self-mappings in order to be Kannan self-mappings. The existence and uniqueness of best proximity points and fixed points is also investigated as well as some related properties of composed self-mappings from the union of any two adjacent subsets, belonging to the initial set of subsets, to themselves.
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页数：29
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