The aim of this article is to expand and generalize some approximation methods proposed by Tian and Di (J Fixed Point Appl, 2011. doi: 10.1186/1687-1812-21) to the class of (k, {mu(n)}, {xi(n)}, phi)-total asymptotica...
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The aim of this article is to expand and generalize some approximation methods proposed by Tian and Di (J Fixed Point Appl, 2011. doi: 10.1186/1687-1812-21) to the class of (k, {mu(n)}, {xi(n)}, phi)-total asymptotically strict pseudocontraction to solve the fixed point problem as well as variational inequality problem in the frame work of Hilbert space. Further, the results presented in this paper extend, improve and also generalize several known results in the literature.
We design synchronal algorithm and cyclic algorithm based on the general iterative algorithm proposed by Tian in 2010 for finding the common fixed point x* of finite family of strict pseudo- contractive mappings which...
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We design synchronal algorithm and cyclic algorithm based on the general iterative algorithm proposed by Tian in 2010 for finding the common fixed point x* of finite family of strict pseudo- contractive mappings which is the solution of the variational inequality <(gamma f - mu F)x*, x - x*> <= 0, for all x is an element of boolean AND(N)(-=1) F(T(i)).
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 inequality = 1 is a positive integer,...
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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 inequality <(gamma f - mu G)x*, j(q)(x - x*) <= 0, for all x is an element of boolean AND F-N(i=1)(T-i), where f is a contraction mapping, G is an eta-strongly accretive and L-Lipschitzian operator, N >= 1 is a positive integer, gamma, mu > 0 are arbitrary fixed constants, and {T-i}(i=1)(N) are N-strict pseudocontractions. Furthermore, we prove strong convergence theorems of such iterative algorithms in a real q-uniformly smooth Banach space. The results presented extend, generalize and improve the corresponding results recently announced by many authors.
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