LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

A strongly convergent modification of the proximal point algorithm in nonsmooth Banach spaces

Photo from wikipedia

Rockafellar’s proximal point algorithm is known to be not strongly convergent in general in an infinite-dimensional Hilbert space. Effort has thus been made to modify this algorithm so that strong… Click to show full abstract

Rockafellar’s proximal point algorithm is known to be not strongly convergent in general in an infinite-dimensional Hilbert space. Effort has thus been made to modify this algorithm so that strong convergence is guaranteed. In this paper we provide a strongly convergent modification of Rockafellar’s proximal point algorithm in a uniformly convex Banach space which is not necessarily smooth.

Keywords: strongly convergent; point algorithm; convergent modification; proximal point; point

Journal Title: Fixed Point Theory
Year Published: 2018

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.