半内积空间中一类新的广义非线性变分包含问题

S. Shafi
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引用次数: 0

摘要

在这项工作中,我们反映了2-一致光滑Banach空间中一个新的广义非线性变分包含问题系统。利用预解算子技术,给出了求解该系统近似解的迭代算法。本文的目的是回顾2-一致光滑Banach空间中一类广义非线性变分包含问题的收敛性分析。本文所用的命题可以看作是许多作者考虑和研究的2-一致光滑Banach空间中各类变分包含解存在性的命题的推广。
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A new system of generalized nonlinear variational inclusion problems in semi-inner product spaces
In this work we reflect a new system of generalized nonlinear variational inclusion problems in 2-uniformly smooth Banach spaces. By using resolvent operator technique, we offer an iterative algorithm for figuring out the approximate solution of the said system. The motive of this paper is to review the convergence analysis of a system of generalized nonlinear variational inclusion problems in 2-uniformly smooth Banach spaces. The proposition used in this paper can be considered as an extension of propositions for examining the existence of solution for various classes of variational inclusions considered and studied by many authors in 2-uniformly smooth Banach spaces.
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