Surjectivity and fixed points of relaxed dissipative multifunctions. Differential inclusions approach

[摘要] One from the most important properties of accretive and monotone operators is the existence of zeros and surjectivity. In the paper we introduce relaxed variants of dissipative, accretive and monotone operators. Using essentially the properties of the solution set of appropriate differential inclusions we study the existence of zeros of such operators. As corollaries the existence of fixed points of relaxed contractive and relaxed nonexpansive multifunctions are obtained. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-11-15

[关键词] relaxed one sided Lipschitz;differential inclusions;sudectivity