Existence Theorems for Generalized Distance on Complete Metric Spaces

被引：13
|
作者：
Ume, Jeong Sheok [1 ]
机构：
[1] Changwon Natl Univ, Dept Appl Math, Chang Won 641773, South Korea
来源：
FIXED POINT THEORY AND APPLICATIONS | 2010年
关键词：
FIXED-POINT THEOREMS; MAPPINGS;
D O I：
10.1155/2010/397150
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first introduce the new concept of a distance called u-distance, which generalizes omega-distance, Tataru's distance, and tau-distance. Then we prove a new minimization theorem and a new fixed point theorem by using a u-distance on a complete metric space. Our results extend and unify many known results due to Caristi, Ciric, Ekeland, Kada-Suzuki-Takahashi, Kannan, Ume, and others.
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收藏
页数：21
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