一类涉及多值映射的变分不等式问题

Nedal Hassan Elbadowi Eljaneid
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引用次数: 0

摘要

变分不等式问题的主要目的是研究一些泛函分析工具、投影方法和不动点定理,然后利用这些工具研究一些变分不等式问题的解的存在性和迭代算法的收敛性分析。本文的主要目的是利用多值不动点定理研究了几类变分不等式解的存在性,并利用Banach收缩定理证明了多值变分不等式问题唯一解的存在性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Classes of Variational Inequality Problems Involving Multivalued Mappings
The main objective of the Variational inequality problem is to study some functional analytic tools, projection method and fixed point theorems and then exploiting these to study the existence of solutions and convergence analysis of iterative algorithms developed for some classes of Variational inequality problem. The main objective of this paper is to study the existence of solutions of some classes of Variational inequalities using fixed point theorems for multivalued and using Banach contraction theorem we prove the existence of a unique solution of multi value Variational inequality problem.
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