Abstract

In this paper, we develop an iterative algorithm for solving a class of nonlinear mixed implicit variational inequalities in Hilbert spaces. The resolvent operator technique is used to establish the equivalence between variational inequalities and fixed point problems. This equivalence is used to study the existence of a solution of nonlinear mixed implicit variational inequalities and to suggest an iterative algorithm for solving variational inequalities. In our results, we do not assume that the mapping is strongly monotone.

주제어

#Variational inequality   #resolvent operator   #iterative algorithm  

참고문헌 (3)

1. Operateur Maximaux Monotones et Semigroupes de Contractions dans les Espaces de Hilbert , Brezis, H. , / v.,pp., 1973
   
2. A perturbed algorithm for variational inclusions , Hassouni, A.;Moudafi, A. , J. Math. Anal. Appl. / v.185,pp.706-712, 1994
   
3. Nonlinear Mappings of Monotone Type , Pascali, D.;Sburlan, S. , / v.,pp., 1978
   

이 논문을 인용한 문헌 (0)

1. 이 논문을 인용한 문헌 없음