scholarly journals Solvability of f-complementarity problems with a new exceptional family of elements

2008 ◽  
Vol 21 (12) ◽  
pp. 1274-1280 ◽  
Author(s):  
Ke-qing Wu ◽  
Nan-jing Huang
Keyword(s):  
Complementarity Problems ◽  
Exceptional Family Of Elements ◽  
Exceptional Family

scholarly journals A New Exceptional Family of Elements and Solvability of General Order Complementarity Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Na Huang ◽  
Changfeng Ma
Keyword(s):  
Banach Space ◽  
Hilbert Space ◽  
Complementarity Problems ◽  
Sufficient Conditions ◽  
Necessary Condition ◽  
Sufficient Condition ◽  
Exceptional Family Of Elements ◽  
Exceptional Family ◽  
General Order ◽  
Sufficient And Necessary Condition

By using the concept of exceptional family, we propose a sufficient condition of a solution to general order complementarity problems (denoted by GOCP) in Banach space, which is weaker than that in Németh, 2010 (Theorem 3.1). Then we study some sufficient conditions for the nonexistence of exceptional family for GOCP in Hilbert space. Moreover, we prove that without exceptional family is a sufficient and necessary condition for the solvability of pseudomonotone general order complementarity problems.

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