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A generalized quasi - residual principle in regularization for a solution of a finite system of ill-posed equations in Banach space
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Mô tả chi tiết
N onlinear Functional A nalysis and A pplications
Vol. 20, N o. 2 (2015), pp. 187-197
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Copyright © 2015 Kyungna,m University Press
A GENERALIZED QUASI-RESID
IN REG U LA RIZA TIO N FOR
OF A FINITE SYSTEM OF ILL-P
IN BA N A CH SPA
N g u ye n B u o n g 1, N g u y e n T h i T h u T h u j
UAL PRINCIP
A SOLUTION
OSED EQUATIC
CES
and T ra n T h i H
I n s titu te o f In fo rm a tio n T ec dnology
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A b s t r a c t . I n th is p a p e r w e p re s e n t a g e n e ra liz e d quasifo r re g u la riz a tio n p a r a m e te r in th e B ro w d e r-T ik h o n o v r
s o lu tio n o f a s y s te m o f ill-p o s e d e q u a tio n s in v o lv in g p o te n
m a p p in g s o n B a n a c h sp a c e s. A n e s tim a te o f co n v erg en ce
e s ta b lis h e d .
1. I n t r o d u c t io n
th ;
Let E be a real reflexive Banach space and
both are assumed to be strictly convex. For
E and E* are denoted by the symbol ||.|| and (a
linear and continuous functional x* € E* at the
a sequence in E, x n x means th a t { x „ } conve:
means the strong convergence.
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sake of sim plicity, r.or:
, x ) denotes the vah.e
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