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http://dx.doi.org/10.11568/kjm.2016.24.2.181

SYSTEM OF GENERALIZED NONLINEAR REGULARIZED NONCONVEX VARIATIONAL INEQUALITIES  

Salahuddin, Salahuddin (Department of Mathematics Jazan University)
Publication Information
Korean Journal of Mathematics / v.24, no.2, 2016 , pp. 181-198 More about this Journal
Abstract
In this work, we suggest a new 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.
Keywords
System of generalized nonlinear regularized nonconvex variational inequalities; uniformly r-prox-regular sets; (${\kappa},{\lambda}$)-relaxed cocoercive mapping; inversely ${\gamma}$-strongly monotone mapping; strongly monotone mapping; iterative sequences; algorithm; convergence analysis; mixed errors;
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