ABSTRACT

XUE-CHENG TAl University of Jyviiskylii, Department of Mathematics , P. O . Box 35, FIN-40351 , Jyviiskylii, Finland

1 . INTRODUCTION

In this paper, we will consider the following minimization problem min F(v ) , v E K

I< c V. ( 1 . 1 ) Above, I< is a closed convex set in a Hilbert space V and the function F ........R is convex. If the function F can be decomposed into a sum of convex functions , i .e .