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In this paper, we introduce and study a system of nonlinear set-valued implicit variational inclusions (SNSIVI) with relaxed cocoercive mappings in real Banach spaces. By using resolvent operator technique for M-accretive mapping, we construct a new class of iterative algorithms for solving this class of system of set-valued implicit variational inclusions. The convergence of iterative algorithms is proved in q-uniformly smooth Banach spaces. Our results generalize and improve the corresponding results of recent works.
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참고문헌 (10)
참고문헌 신청
Chuan-Zhi Bai / 2003 / A system of nonlinear variational inclusions in real Banach spaces / 대한수학회보 40 (3) : 385 ~ 397
H. K. Xu / 1991 / Inequalities in Banach spaces with applications / Nonlinear Anal. 16 (12) : 1127 ~ 1985
H. Nie / 2003 / A system of nonlinear variational inequalities involving strongly monotone and pseudocontractive mappings / Adv. Nonlinear Var. Inequal. 6 (2) : 91 ~ 99
K. Deimling / 1985 / Nonlinear Functional Analysis / Springer-Verlag
M. Aslam Noor / 2001 / Three-step iterative algorithms for multivalued quasi variational inclusions / J. Math. Anal. Appl. 255 (2) : 589 ~ 604
H. K. Xu / 1991 / Inequalities in Banach spaces with applications / Nonlinear Anal. 16 (12) : 1127 ~ 1985
H. Nie / 2003 / A system of nonlinear variational inequalities involving strongly monotone and pseudocontractive mappings / Adv. Nonlinear Var. Inequal. 6 (2) : 91 ~ 99
K. Deimling / 1985 / Nonlinear Functional Analysis / Springer-Verlag
M. Aslam Noor / 2001 / Three-step iterative algorithms for multivalued quasi variational inclusions / J. Math. Anal. Appl. 255 (2) : 589 ~ 604
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