Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces. (English) Zbl 1254.90262

Zegeye, Habtu; Shahzad, Naseer

Optim. Lett. 5, No. 4, 691-704 (2011).

Summary: We introduce an iterative process which converges strongly to a common solution of variational inequality problems for two monotone mappings in Banach spaces. Furthermore, our convergence theorem is applied to the convex minimization problem. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings.

MSC:

90C33	Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
90C25	Convex programming

Keywords:

generalized projection; \(\gamma \)-inverse strongly monotone mappings; monotone mappings; strong convergence; variational inequality problems

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