DING Xie-ping. Constrained Multiobjective Games in Locally Convex H-Spaces[J]. Applied Mathematics and Mechanics, 2003, 24(5): 441-449.
Citation: DING Xie-ping. Constrained Multiobjective Games in Locally Convex H-Spaces[J]. Applied Mathematics and Mechanics, 2003, 24(5): 441-449.

Constrained Multiobjective Games in Locally Convex H-Spaces

  • Received Date: 2001-07-06
  • Rev Recd Date: 2003-03-07
  • Publish Date: 2003-05-15
  • A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear structure are introduced and studied.By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values and a maximum theorem,several existence theorems of weighted Nath-equilibria and Pareto equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces.These theorems improve,unify and generalize the corresponding results of the multiobjective games in recent literatures.
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