Attractive Points and Convergence Theorems of (α,β)－Generalized  Hybrid Set valued Mappings

CHEN Li-li; ZOU Jie; GAO Lu

doi:10.15938/j.jhust.2019.03.023

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Attractive Points and Convergence Theorems of (α,β)－Generalized Hybrid Set valued Mappings

更新时间：2026-08-31

- Attractive Points and Convergence Theorems of (α,β)－Generalized Hybrid Set valued Mappings
- Vol. 24, Issue 3, Pages: 138-142(2019)
- 作者机构：
  
  哈尔滨理工大学理学院,哈尔滨,150080
- 作者简介：
- 基金信息：
- DOI：10.15938/j.jhust.2019.03.023
  CLC： O177.2
- Published：2019
- 稿件说明：
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CHEN Li-li, ZOU Jie, GAO Lu. Attractive Points and Convergence Theorems of (α,β)－Generalized Hybrid Set valued Mappings[J]. 2019, 24(3): 138-142.
DOI：

CHEN Li-li, ZOU Jie, GAO Lu. Attractive Points and Convergence Theorems of (α,β)－Generalized Hybrid Set valued Mappings[J]. 2019, 24(3): 138-142. DOI： 10.15938/j.jhust.2019.03.023.

摘要

集值映射理论在控制论、优化理论、数理经济等诸多领域都有着广泛的应用，现已成为非线性分析的重要组成部分，因此研究集值映射的有关问题具有重要的理论意义和应用价值。主要研究了一致凸的Banach空间上(α

β)－广义混合集值映射吸收点的收敛性问题，引入了集值映射意义下的Agarwal迭代格式

并分别利用I′条件和半紧性质给出了一致凸的Banach空间上(α

β)－广义混合集值映射在该迭代格式下关于吸收点的收敛性定理。

Abstract

Set-valued mapping theory，which is widely used in control theory

optimization theory

mathematical economics and other fields，hasdeveloped rapidly in recent decades and has now become an important componentof nonlinear analysis. Therefore

research on related problems of set valuemappings has an important theoretical significance and application value. Wemainly discuss the convergence problems of attractive points of (α

β)－generalizedhybrid set-valuedmappings

and we also generalize the Agarwal iteration to the case of set-valuedmappings. Consequently

some convergence theorems of attractive points of (α

β)－generalizedhybrid set-valuedmappings defined on uniformly convex Banach spaces by use of theconditions I′ and the demi-compact property are obtained respectively.

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