Caristi Type Coincidence Point Theorem in Topological Spaces

被引：3
|
作者：
Zhu, Jiang [1 ]
Wei, Lei [1 ]
Zhu, Cheng-Cheng [2 ]
机构：
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2013年
基金：
中国国家自然科学基金;
关键词：
EKELANDS VARIATIONAL PRINCIPLE; FUZZY METRIC-SPACES; GENERATING SPACES; SYMMETRIC-SPACES; UNIFORM-SPACES; EXTENSION; EXISTENCE; MAPPINGS; FAMILY;
D O I：
10.1155/2013/902692
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A generalized Caristi type coincidence point theorem and its equivalences in the setting of topological spaces by using a kind of nonmetric type function are obtained. These results are used to establish variational principle and its equivalences in. d-complete spaces, bornological vector space, seven kinds of completed quasi-semimetric spaces equipped with. Q-functions, uniform spaces with. q-distance, generating spaces of quasimetric family, and fuzzy metric spaces.
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页数：14
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