On the degree theory for general mappings of monotone type

DOI10.1016/j.jmaa.2007.07.058zbMath1133.47046OpenAlexW2003656038MaRDI QIDQ2467808

Bui Trong Kien, Ngai-Ching Wong, Mu-Ming Wong

Publication date: 28 January 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.07.058

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Degree theory for nonlinear operators (47H11)

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A new topological degree theory for pseudomonotone perturbations of the sum of two maximal monotone operators and applications ⋮ Degree theory and solution existence of set-valued vector variational inequalities in reflexive Banach spaces ⋮ A new topological degree theory for perturbations of demicontinuous operators and applications to nonlinear equations with nonmonotone nonlinearities ⋮ A topological degree theory for perturbed \(\mathcal{A}_G(S_+)\)-operators and applications to nonlinear problems ⋮ The degree theory for set-valued compact perturbation of monotone-type mappings with an application ⋮ On Variational Inequalities Involving Mappings of Type (S)

Cites Work

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• The index of a critical point for densely defined operators of type (𝑆₊)_{𝐿} in Banach spaces
• A survey of degree theory: Basis and development
• Fixed point theory and nonlinear problems
• Generalizations of Browder's Degree Theory
• Perturbations of nonlinear maximal monotone sets in banach space