In this paper our aim is to introduce a new class of procedure,the Uniformly Asymptotically Regular-class of procedures (UAR-precedures),showing some examples of procedures as for nite family of mappings, as forinnite family of mappings.Then by a UAR-procedure we prove the convergence of an implicit iterativemethod and of an explicit iterative method to the unique solution of avariational inequality problem on the set of common xed points of a familyof mappings, in the setting of uniformly smooth Banach spaces.
The uniform asymptotical regularity of families of mappings and solutions of variational inequality problems.
MARINO, Giuseppe;MUGLIA, Luigi;
2014-01-01
Abstract
In this paper our aim is to introduce a new class of procedure,the Uniformly Asymptotically Regular-class of procedures (UAR-precedures),showing some examples of procedures as for nite family of mappings, as forinnite family of mappings.Then by a UAR-procedure we prove the convergence of an implicit iterativemethod and of an explicit iterative method to the unique solution of avariational inequality problem on the set of common xed points of a familyof mappings, in the setting of uniformly smooth Banach spaces.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
