New Collectively Fixed Point Theorems and Applications in <em>G</em>-Convex Spaces

DING Xie-ping; Park Jong-yeoul

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DING Xie-ping, Park Jong-yeoul. New Collectively Fixed Point Theorems and Applications in G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1101-1112.

Citation:

DING Xie-ping, Park Jong-yeoul. New Collectively Fixed Point Theorems and Applications in G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1101-1112.

Citation:

DING Xie-ping, Park Jong-yeoul. New Collectively Fixed Point Theorems and Applications in G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1101-1112.

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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

Received Date: 2001-06-12
Rev Recd Date: 2002-07-20
Publish Date: 2002-11-15

Abstract

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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References(27)

References

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