Nonstrictly Convex Minimization over the Bounded Fixed Point Set of a Nonexpansive Mapping

• Published in: Numerical functional analysis and optimization Vol. 24; no. 1-2; pp. 129 - 135
• Main Authors: Ogura, Nobuhiko, Yamada, Isao
• Format: Journal Article
• Language: English
• Published: Taylor & Francis Group 06.01.2003
• Subjects: 2000 Mathematical Subject Classification: 47H05; Convex optimization; Fixed point theorem; Hybrid steepest descent method; Monotone operator; Nonexpansive mapping; Variational inequality problem

In this paper, we consider, in a finite dimensional real Hilbert space , the variational inequality problem VIP : find , where is nonexpansive mapping with bounded and is paramonotone and Lipschitzian over . The nonstrictly convex minimization over the bounded fixed point set of a nonexpansive mappi...