Generalized nonlinear implicit quasivariational inclusions

Ya-Ping Fang, Nan‐jing Huang, Jung Im Kang, Yeol Je Cho · Journal of Inequalities and Applications · 2005

We introduce and study a new class of generalized nonlinear implicit quasivariational inclusions involving relaxed Lipschitzian mappings. We prove the existence of solution for the generalized nonlinear implicit quasivariational inclusions and construct some new stable perturbed iterative algorithms with errors. We also give an application to a class of generalized nonlinear implicit variational inequalities.

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