A hybrid of the extragradient method and proximal point algorithm for inverse strongly monotone operators and maximal monotone operators in Banach spaces

On the convergence analysis of inexact h

On the convergence analysis of inexact hybrid extragradient proximal point algorithms for maximal monotone operators

✍ Lu-Chuan Ceng; Jen-Chih Yao 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 192 KB

In this paper we introduce general iterative methods for finding zeros of a maximal monotone operator in a Hilbert space which unify two previously studied iterative methods: relaxed proximal point algorithm [H.K. Xu, Iterative algorithms for nonlinear operators, J. London Math Soc. 66 (2002) 240-25