Fixed Points, Fixed Sets and Iterated Multifunction Systems for Nonself Multivalued Operators
Fixed Points, Fixed Sets and Iterated Multifunction Systems for Nonself Multivalued Operators
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DOI：
10.1007/s11228-014-0291-6
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发表时间：
2015-06
影响因子：
1.6
通讯作者：
A. Petruşel;I. Rus;M. Serban
中科院分区：
文献类型：
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作者：
A. Petruşel;I. Rus;M. Serban
本文给出了非自集值广义压缩映射的不动点定理。我们将讨论多值压缩、多值φ-压缩和多值Kannan压缩的情形。我们的结果给出了由迭代多功能系统生成的多值分形的存在性、唯一性及相关性质。该方法是基于非自多值广义压缩诱导的多重分形算子的一些新性质。一些开放的问题也制定。
In this paper, we will present some fixed set and fixed point theorems for nonself multivalued generalized contractions. We will discuss the cases of multivalued contractions, multivaluedφ-contractions and multivalued Kannan contractions. Our results propose some existence, uniqueness and related properties of the multivalued fractal generated by iterative multifunction systems. The approach is based on some new properties proved for the multi-fractal operator induced by a nonself multivalued generalized contraction. Some open problems are also formulated.