Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (10): 981-987.

• Articles • Previous Articles     Next Articles

TRANSFER OPEN OR CLOSED SETVALUED MAPPING AND GENERALIZ-ATION OF H-KKM THEOREM WITH APPLICATIONS

Li Bing-you, Su Jia-bao   

  1. Department of Mathematics, Hebei Teacher’s University, Shijiazhuang, Hebei
  • Received:1993-12-24 Online:1994-10-18 Published:1994-10-18

Abstract: In this paper ,we introduce a class of generalized mapping called transfer open orclosed valued mapping to generalize the KKM theorem on H-space.Then asapplications,using our H-KKM theorem,we prove some coincidence theorems.matching theorems and vector valued minimax inequalities which generalize slightly thecorresponding results in[1,2,4,5,6,7].

Key words: finite difference method, time step integration, numericalstability, transfer closed or open setvalued mapping, coincidence theorem, H-KKM mapping, matching theorem

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