2013
DOI: 10.1186/1687-1812-2013-202
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Synchronal and cyclic algorithms for fixed point problems and variational inequality problems in Banach spaces

Abstract: In this paper, we study synchronal and cyclic algorithms for finding a common fixed point x * of a finite family of strictly pseudocontractive mappings, which solve the variational inequalitywhere f is a contraction mapping, G is an η-strongly accretive and L-Lipschitzian operator, N ≥ 1 is a positive integer, γ , μ > 0 are arbitrary fixed constants, andare N-strict pseudocontractions. Furthermore, we prove strong convergence theorems of such iterative algorithms in a real q-uniformly smooth Banach space. The … Show more

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“…And also Auwalu et al. ( 2013 ) proved the following results in real Banach space which is the generalization of Tian and Di ( 2011 ).…”
Section: Introductionmentioning
confidence: 93%
“…And also Auwalu et al. ( 2013 ) proved the following results in real Banach space which is the generalization of Tian and Di ( 2011 ).…”
Section: Introductionmentioning
confidence: 93%