On nonlinear variational inequalities

zbMath0817.49012MaRDI QIDQ5906608

Kaleem Raza Kazmi, Qamrul Hasan Ansari, A. H. Siddiqui

Publication date: 20 July 1995

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

reflexive Banach spacelocally convex spacetopological vector spacenonlinear variational inequalitiesKKM mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Existence theories for problems in abstract spaces (49J27)

Related Items (18)

Strong convergence theorems for equilibrium problems and asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense ⋮ Convergence theorems for Bregman \(K\)-mappings and mixed equilibrium problems in reflexive Banach spaces ⋮ Mann and Ishikawa type perturbed iterative algorithms for generalized quasivariational inclusions ⋮ Existence and iterative approximation methods for generalized mixed vector equilibrium problems with relaxed monotone mappings ⋮ Regularization method for Noor's variational inequality problem induced by a hemicontinuous monotone operator ⋮ Existence theorems and iterative approximation methods for generalized mixed equilibrium problems for a countable family of nonexpansive mappings ⋮ Strong convergence theorems for a generalized equilibrium problem with a relaxed monotone mapping and a countable family of nonexpansive mappings in a Hilbert space ⋮ New Approximation Techniques for Solving Variational Inclusions Problem via SP Iterative Algorithm with Mixed Errors for Accretive Lipschitzian Operators ⋮ Variational-like inequalities with generalized monotone mappings in Banach spaces ⋮ The Mann and Ishikawa iterative approximation of solutions to variational inclusions with accretive type mappings ⋮ On the generalized monotonicity of variational inequalities ⋮ Variational-like inequalities for weakly relaxed \(\eta\)-\(\alpha\) pseudomonotone set-valued mappings in Banach space ⋮ Variational-like inequalities with relaxed \(\eta -\alpha\) pseudomonotone mappings in Banach spaces ⋮ Existence and strong convergence theorems for generalized mixed equilibrium problems of a finite family of asymptotically nonexpansive mappings in Banach spaces ⋮ On the solution existence of variational-like inequalities problems for weakly relaxed \(\eta-\alpha\) monotone mapping ⋮ Unnamed Item ⋮ On the Mann and Ishikawa iterative approximation of solutions to variational inclusions with accretive type mappings in Banach spaces ⋮ Existence theorems for relaxed \(\eta\)-\(\alpha\) pseudomonotone and strictly \(\eta\)-quasimonotone generalized variational-like inequalities

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