Hadamard空间中有限单调算子族包含问题解的强收敛性

Pub Date : 2021-06-01 DOI:10.2478/auom-2021-0028

S. Ranjbar

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引用次数: 1

摘要

摘要在Hadamard空间中，给出了有限单调算子族包含问题解的迭代逼近格式，该包含问题解是变分不等式的唯一解。并给出了在凸极小化和不动点理论中的一些应用来支持主要结果。

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Strong convergence to a solution of the inclusion problem for a finite family of monotone operators in Hadamard spaces

Abstract In this paper, in the setting of Hadamard spaces, a iterative scheme is proposed for approximating a solution of the inclusion problem for a finite family of monotone operators which is a unique solution of a variational inequality. Some applications in convex minimization and fixed point theory are also presented to support the main result.

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