Fixed point theorems for operators in generalized Kasahara spaces

被引：2
|
作者：
Filip, Alexandru-Darius [1 ]
Petrusel, Adrian [1 ]
机构：
[1] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2015年 / 109卷 / 01期
关键词：
Generalized Kasahara space; Picard operator; Weakly Picard operator; Fixed point; Sequence of successive approximations; Graphic contraction; Caristi operator; 2; METRICS; SET;
D O I：
10.1007/s13398-014-0163-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to present some new fixed point theorems for single-valued 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：12
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