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Alghamdi, Mohammed Ali; Shahzad, Naseer; Zegeye, Habtu

On solutions of variational inequality problems via iterative methods. (English) Zbl 1472.47058

Abstr. Appl. Anal. 2014, Article ID 424875, 10 p. (2014).
Summary: We investigate an algorithm for a common point of fixed points of a finite family of Lipschitz pseudocontractive mappings and solutions of a finite family of \(\gamma\)-inverse strongly accretive mappings. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings.

Cited in 2 Documents

MSC:

47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
49J40 Variational inequalities

Keywords:

common fixed points; Lipschitz pseudocontractive mappings; \(\gamma\)-inverse strongly accretive mappings
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\textit{M. A. Alghamdi} et al., Abstr. Appl. Anal. 2014, Article ID 424875, 10 p. (2014; Zbl 1472.47058)
Full Text: DOI

References:

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