<em>G</em>-凸空间内新的聚合不动点定理及应用

丁协平; 朴忠烈

G-凸空间内新的聚合不动点定理及应用

丁协平¹,
朴忠烈²

1.
四川师范大学, 数学与软件科学学院, 成都, 610066;
2.
韩国釜山国立大学, 数学系, 釜山, 609-735

基金项目: 国家自然科学基金资助项目(19871059);韩国工程科学基金和四川省教育厅重点科研基金资助项目([2000]25);韩国研究基金资助项目(1998-15-D00021)

详细信息

作者简介:
丁协平(1938- ),男,四川自贡人,教授;(E-mail:dingxip@sicnu.edu.cn);朴忠烈(1945- ),男,韩国釜山人,教授.

中图分类号: O177.92
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- 文章访问数: 2662
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- 被引次数: 0
出版历程
- 收稿日期: 2001-06-12
- 修回日期: 2002-07-20
- 刊出日期: 2002-11-15

New Collectively Fixed Point Theorems and Applications in G-Convex Spaces

DING Xie-ping¹,
Park Jong-yeoul²

1.
Department of Mathematics, Sichuan Normal University, Chengdu 610066, P R China;
2.
Department of Mathematics, Pusan National University Kumjung, Pusan 609-735, Korea

摘要

摘要: 由应用连续单位分解技巧和Tychonoff不动点定理对定义在非紧G-凸空间的乘积空间上的一族集值映象证明了一些新的不动点定理。作为应用,对G-凸空间的乘积空间的一簇子集证明了KyFan型非空交定理;在G-凸空间内给出了非线性不等式组解的一个存在定理和得到了一些抽象经济的平衡存在定理。这些定理改进和推广了很多最近文献中重要的已知结果。
- 聚合不动点 /
- 非空交定理 /
- 不等式组 /
- 抽象经济 /
- 广义凸空间
Abstract: By applying the technique of continuous partition of unity and Tychonoff.s fixed point theorem,some new collectively fixed point the orems for a family of set-valued mappings defined on the product space of noncompact G-convexs paces are proved.Asapplications,some nonempty intersection the orems of Ky Fantype for a family of subsets of the products pace of G-convex spaces are proved;An existence the orem of solutions for a system of nonlinear inequlities is given in G-convex spaces and some equilibrium existence theorems of abstract economies are also obtained in G-convex spaces.Our theorems improve,unify and generalizd many important known results in the recent literature.
- collectively fixed point /
- nonempty inter section the orem /
- system of inequality /
- abstract economy /
- gerenalized convex space

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参考文献(27)

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G-凸空间内新的聚合不动点定理及应用

作者简介:
丁协平(1938- ),男,四川自贡人,教授;(E-mail:dingxip@sicnu.edu.cn);朴忠烈(1945- ),男,韩国釜山人,教授.

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New Collectively Fixed Point Theorems and Applications in G-Convex Spaces

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G-凸空间内新的聚合不动点定理及应用

作者简介: 丁协平(1938- ),男,四川自贡人,教授;(E-mail:dingxip@sicnu.edu.cn);朴忠烈(1945- ),男,韩国釜山人,教授.

计量

出版历程

New Collectively Fixed Point Theorems and Applications in G-Convex Spaces

计量

出版历程

目录

作者简介:
丁协平(1938- ),男,四川自贡人,教授;(E-mail:dingxip@sicnu.edu.cn);朴忠烈(1945- ),男,韩国釜山人,教授.