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http://dx.doi.org/10.14317/jami.2015.401

A MODIFIED PROXIMAL POINT ALGORITHM FOR SOLVING A CLASS OF VARIATIONAL INCLUSIONS IN BANACH SPACES  

LIU, YING (College of Mathematics and Information Science, Hebei University)
Publication Information
Journal of applied mathematics & informatics / v.33, no.3_4, 2015 , pp. 401-415 More about this Journal
Abstract
In this paper, we propose a modified proximal point algorithm which consists of a resolvent operator technique step followed by a generalized projection onto a moving half-space for approximating a solution of a variational inclusion involving a maximal monotone mapping and a monotone, bounded and continuous operator in Banach spaces. The weak convergence of the iterative sequence generated by the algorithm is also proved.
Keywords
maximal monotone mapping; generalized projection; resolvent technique; normalized duality mapping; variational inclusions;
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