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| Volume 2, Number 2, May 2006, pp. 319-326 | |||||||||
| M.S.S. Ali | |||||||||
| Key words: | |||||||||
| convex optimization, Banach spaces, partial linearization method, strong convergence | |||||||||
| Mathematices Subject Classification: 46E15, 49M37, 65K10, 90C30 | |||||||||
|
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| Volume 2, Number 2, May 2006, pp. 319-326 | |||||||||
| M.S.S. Ali | |||||||||
| Key words: | |||||||||
| convex optimization, Banach spaces, partial linearization method, strong convergence | |||||||||
| Mathematices Subject Classification: 46E15, 49M37, 65K10, 90C30 | |||||||||
|
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| Abstract: | |||
| In this paper, we consider an optimization problem in Banach space, whose cost function can be represented as the sum of a convex and a uniformly convex functions. We propose to solve this problem by a partial linearization method and prove its strong convergence to a solution. We show that the method has certain advantages over the usual gradient methods. | |||
| Partial linearization method for convex optimization problems in Banach spaces | ||
| Special Issue of ICOTA6 | ||