COMMON SOLUTION TO GENERALIZED MIXED EQUILIBRIUM PROBLEM AND FIXED POINT PROBLEM FOR A NONEXPANSIVE SEMIGROUP IN HILBERT SPACE

DOI10.4134/JKMS.2016.53.1.089zbMath1334.49027MaRDI QIDQ2794874

Behzad Djafari Rouhani, Mohammad Farid, Kaleem Raza Kazmi

Publication date: 11 March 2016

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://mathnet.or.kr/mathnet/kms_content.php?no=467626

zbMATH Keywords

variational inequality minimization problem optimality condition nonexpansive semigroup generalized mixed equilibrium problem fixed-point problem explicit hybrid relaxed extragradient iterative method

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Optimality conditions for problems in abstract spaces (49K27) Numerical methods for variational inequalities and related problems (65K15)

Related Items (6)

Unnamed Item ⋮ Strong convergence of gradient projection method for generalized equilibrium problem in a Banach space ⋮ Strong convergence results of split equality hierarchical fixed point problems ⋮ An inertial subgradient extragradient algorithm for modified variational inclusion problem and mixed equilibrium problem in real Hilbert space ⋮ Two algorithms for solving mixed equilibrium problems and fixed point problems in Hilbert spaces ⋮ Common solution to generalized mixed equilibrium problem and fixed point problems in Hilbert space

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