WEAK CONVERGENCE OF A NEW PROJECTION ALGORITHM FOR VARIATIONAL INEQUALITIES IN BANACH SPACES

Liu Ying · Nonlinear functional analysis and applications · 2016

Applying the generalized projection operator, we introduce a new iterative algorithm in Banach spaces for a variational inequality involving a monotone hemi-continuous operator which is more general than a inverse-strongly-monotone operator. Weak convergence of the iterative algorithm is also proved.

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