%0 Journal Article
%T Generalized mildly nonconvex variational inequalities and its solvability
%A Balwant Singh Thakur
%A Suja Varghese
%J Journal of Nonlinear Analysis and Application
%D 2012
%I International Scientific Publications and Consulting Services (ISPACS)
%R 10.5899/2012/jnaa-00146
%X Using the prox-regularity notion, we introduce and study a generalized mildly nonconvex variational inequality. We study existence and iterative approximation of its solution under the partially relaxed cocoercivity. Several consequences of the proposed nonconvex variational inequality are also discussed.
%K Generalized mildly variational inequalities
%K prox-regular sets
%K nonconvex sets
%K partially relaxed cocoercive operators
%K iterative method
%K convergence
%U http://www.ispacs.com/journals/jnaa/2012/jnaa-00146/article.pdf