Sensitivity analysis of solutions for a system of parametric general quasivariatinal-like inequalities
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In this paper, we introduce and study a new class of system of parametric general quasivariational-like inequalities. Using η-subdifferential and η-proximal mappings of proper functionals in Hilbert spaces, we prove the equivalence between the system of parametric general quasivariational-like inequalities and a fixed point problem and construct two iterative algorithms. A few existence and uniqueness results as well as the sensitivity analysis of solutions are also established for the system of parametric general quasivariational-like inequalities, and some convergence results of iterative sequence generated by the algorithms are proved. Our results extend a few known results in the literature.
Abstract
In this paper, we introduce and study a new class of system of parametric general quasivariational-like inequalities. Using η-subdifferential and η-proximal mappings of proper functionals in Hilbert spaces, we prove the equivalence between the system of parametric general quasivariational-like inequalities and a fixed point problem and construct two iterative algorithms. A few existence and uniqueness results as well as the sensitivity analysis of solutions are also established for the system of parametric general quasivariational-like inequalities, and some convergence results of iterative sequence generated by the algorithms are proved. Our results extend a few known results in the literature.
참고문헌 (17)
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