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In this work, we suggest a new it system of generalized nonlinear regularized nonconvex variational inequalities in a real Hilbert space and establish an equivalence relation between this system and fixed point problems. By using the equivalence relation we suggest a new perturbed projection iterative algorithms with mixed errors for finding a solution set of system of generalized nonlinear regularized nonconvex variational inequalities.
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참고문헌 (21)
참고문헌 신청
M. K. Ahmad / 2006 / Perturbed three step approximation process with errors for a general implicit nonlinear variational inequalities / Int. J. Math. Math. Sci. 2006:1~14
M. K. Ahmad / 2012 / A stable perturbed algorithms for a new class of generalized nonlinear implicit quasi variational inclusions in Banach spaces / Advances in Pure Mathematics 2(2):139~148
S. S. Chang / 2007 / Generalized system for relaxed cocoercive variational inequalities in Hilbert space / Applied Math. Lett 20(3):329~334
F. H. Clarke / 1983 / Optimization and nonsmooth analysis / Wiley Int. Science
F. H. Clarke / 1998 / Nonsmooth analysis and control theory / Springer-Verlag
M. K. Ahmad / 2012 / A stable perturbed algorithms for a new class of generalized nonlinear implicit quasi variational inclusions in Banach spaces / Advances in Pure Mathematics 2(2):139~148
S. S. Chang / 2007 / Generalized system for relaxed cocoercive variational inequalities in Hilbert space / Applied Math. Lett 20(3):329~334
F. H. Clarke / 1983 / Optimization and nonsmooth analysis / Wiley Int. Science
F. H. Clarke / 1998 / Nonsmooth analysis and control theory / Springer-Verlag
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