一类含H-增生算子的广义集值变分包含(英文)

Generalized Set-valued Variational Inclusions with H-accretive Operators

首先介绍了Banach空间中的一类含H-增生算子的广义集值变分包含问题(GSVVIP)和广义预解算子方程问题(GREP),并且建立了二者的等价关系.然后分别构造了新的迭代算法来逼近(GSVVIP)的解和(GREP)的解并且证明了其解的存在性以及它们的收敛性结论.

In this paper, a new class of generalized set-valued variational inclusions problem （GSV-VIP） involving H-accretive operators and a new class of generalized resolvent equations problem （GREP） in Banach spaces are introduced and studied, we also establish the equivalent relation bet,.veen （GSVVIP） and （GREP）. The iterative algorithms for finding the solutions of （GSVVIP） and （GREP） are proposed and its convergence results are established, respectively.