Iterative methods for zero points of accretive operators in Banach spaces
نویسندگان
چکیده
منابع مشابه
Iterative methods for zero points of accretive operators in Banach spaces
The purpose of this paper is to consider the problem of approximating zero points of accretive operators. We introduce and analysis Mann-type iterative algorithm with errors and Halpern-type iterative algorithms with errors. Weak and strong convergence theorems are established in a real Banach space. As applications, we consider the problem of approximating a minimizer of a proper lower semicon...
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The purpose of this paper is to introduce a new mapping for a finite family of accretive operators and introduce an iterative algorithm for finding a common zero of a finite family of accretive operators in a real reflexive strictly convex Banach space which has a uniformly G^ateaux differentiable norm and admits the duality mapping $j_{varphi}$, where $varphi$ is a gauge function ...
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In this paper, we introduce and study a new iterative algorithm for approximating zeroes of accretive operators in Banach spaces.
متن کاملsome iterative method for finding a common zero of a finite family of accretive operators in banach spaces
the purpose of this paper is to introduce a new mapping for a finite family of accretive operators and introduce an iterative algorithm for finding a common zero of a finite family of accretive operators in a real reflexive strictly convex banach space which has a uniformly g^ateaux differentiable norm and admits the duality mapping $j_{varphi}$, where $varphi$ is a gauge function ...
متن کاملApproximating Zero Points of Accretive Operators with Compact Domains in General Banach Spaces
Let E be a real Banach space, let C be a closed convex subset of E, let T be a nonexpansive mapping of C into itself, that is, ‖Tx−Ty‖ ≤ ‖x− y‖ for each x, y ∈ C, and let A⊂ E×E be an accretive operator. For r > 0, we denote by Jr the resolvent of A, that is, Jr = (I + rA)−1. The problem of finding a solution u∈ E such that 0∈ Au has been investigated by many authors; for example, see [3, 4, 7,...
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ژورنال
عنوان ژورنال: Analele Universitatii "Ovidius" Constanta - Seria Matematica
سال: 2012
ISSN: 1844-0835
DOI: 10.2478/v10309-012-0022-7