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.

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

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