Fixed point theorems for operators in generalized Kasahara spaces

被引：0
|
作者：
Alexandru-Darius Filip
Adrian Petruşel
机构：
[1] Babeş-Bolyai University Cluj-Napoca,Department of Mathematics
来源：
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas | 2015年 / 109卷
关键词：
Generalized Kasahara space; Picard operator; Weakly Picard operator; Fixed point; Sequence of successive approximations; Graphic contraction; Caristi operator; 47H10; 54H25; 34A12;
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摘要：
The purpose of this paper is to present some new fixed point theorems for singlevalued operators in a generalized Kasahara space, starting from the results given by Kasahara (Math. Semin. Notes 5:29–35, 1977), Iseki (Math. Semin. Notes 3:193–202, 1975), and Rus (Sci. Math. Jpn. 72(1):101–110, 2010). As an application, an existence and uniqueness theorem for a Cauchy problem is given.
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页码：15 / 26
页数：11
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