Nonlinear Dynamics, Fixed Points and Coupled Fixed Points in Generalized Gauge Spaces with Applications to a System of Integral Equations

被引：7
|
作者：
Petrusel, Adrian [1 ]
Petrusel, Gabriela
机构：
[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2015年 / 2015卷
关键词：
MULTIVALUED OPERATORS; BANACH-SPACES; CONTRACTIONS; THEOREMS;
D O I：
10.1155/2015/143510
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We will discuss discrete dynamics generated by single-valued and multivalued operators in spaces endowed with a generalized metric structure. More precisely, the behavior of the sequence (f(n)(x))(n subset of N) of successive approximations in complete generalized gauge spaces is discussed. In the same setting, the case of multivalued operators is also considered. The coupled fixed points for mappings t(1) : X-1 x X-2 -> X-1 and t(2) : X-1 x X-2 -> X-2 are discussed and an application to a system of nonlinear integral equations is given.
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收藏
页数：10
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