298 research outputs found
Convergence Theorems for Hierarchical Fixed Point Problems and Variational Inequalities
This paper deals with a modifed iterative projection method for approximating
a solution of hierarchical fixed point problems for nearly nonexpansive
mappings. Some strong convergence theorems for the proposed method are
presented under certain approximate assumptions of mappings and parameters. As
a special case, this projection method solves some quadratic minimization
problem. It should be noted that the proposed method can be regarded as a
generalized version of Wang et.al. [15], Ceng et. al. [14], Sahu [4] and many
other authors.Comment: 12 pages. arXiv admin note: substantial text overlap with
arXiv:1403.321
The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings
In this paper we provide a unified treatment of some convex minimization
problems, which allows for a better understanding and, in some cases,
improvement of results in this direction proved recently in spaces of curvature
bounded above. For this purpose, we analyze the asymptotic behavior of
compositions of finitely many firmly nonexpansive mappings in the setting of
-uniformly convex geodesic spaces focusing on asymptotic regularity and
convergence results
Alternative iterative methods for nonexpansive mappings, rates of convergence and application
Alternative iterative methods for a nonexpansive mapping in a Banach space
are proposed and proved to be convergent to a common solution to a fixed point
problem and a variational inequality. We give rates of asymptotic regularity
for such iterations using proof-theoretic techniques. Some applications of the
convergence results are presented
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Alternative iterative methods for nonexpansive mappings, rates of convergence and applications
Alternative iterative methods for a nonexpansive mapping in a Banach space are
proposed and proved to be convergent to a common solution to a fixed point problem and
a variational inequality. We give rates of asymptotic regularity for such iterations using
proof-theoretic techniques. Some applications of the convergence results are presented
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