On \(\varphi\)-strongly accretive mappings and some set-valued variational problems

DOI10.1016/S0022-247X(02)00582-6zbMath1024.49006OpenAlexW1984767408MaRDI QIDQ1868784

Xiaolin He

Publication date: 28 April 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00582-6

zbMATH Keywords

accretive mappingsvariational inclusionspseudocontractive mappings

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear operators and their properties (47H99)

Related Items (13)

On the characterization of strong convergence of an iterative algorithm for a class of multi-valued variational inclusions ⋮ Accretive operators which are always single-valued in normed spaces ⋮ Iterative approximation of a solution of multi-valued variational-like inclusion in Banach spaces: A \(P-\eta\) -proximal-point mapping approach ⋮ First-order regularization methods for accretive inclusions in a Banach space ⋮ Monotonicity beyond Minty and Kato on locally convex spaces ⋮ Second-order methods for accretive inclusions in a Banach space ⋮ Perturbed iterative algorithms for generalized nonlinear set-valued quasivariational inclusions involving generalized \(m\)-accretive mappings ⋮ Existence and convergence theorems for a class of multi-valued variational inclusions in Banach spaces ⋮ Mann-type viscosity approximation methods for multivalued variational inclusions with finitely many variational inequality constraints in Banach spaces ⋮ Generalized nonlinear quasi-variational inclusions in Banach spaces ⋮ Mann-type extragradient methods for general systems of variational inequalities with multivalued variational inclusion constraints in Banach spaces ⋮ Strong convergence of an iterative algorithm for a class of nonlinear set-valued variational inclusions ⋮ Iterative algorithm for generalized quasi-variational-like inclusions with fuzzy mappings in Banach spaces

Cites Work

• Continuous selections. I
• Set-valued resolvent equations and mixed variational inequalities
• Set-valued variational inclusions in Banach spaces
• Steepest descent method for equilibrium points of nonlinear systems with accretive operators
• Convergence theorems for \(\phi\)-strongly accretive and \(\phi\)-hemicontractive operators

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