Non-zero solutions for a class of generalized variational inequalities in reflexive Banach spaces

DOI10.1016/j.aml.2006.03.009zbMath1121.49011OpenAlexW1984103255MaRDI QIDQ868004

Ke-Qing Wu, Nan-Jing Huang

Publication date: 19 February 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.03.009

zbMATH Keywords

variational inequalityfixed point indexnonzero solutionset-contractive mapping

Mathematics Subject Classification ID

Variational inequalities (49J40) Fixed-point theorems (47H10)

Related Items (4)

Exceptional family and solvability of the second-order cone complementarity problems ⋮ Nonzero solutions for a system of variational inequalities in reflexive Banach spaces ⋮ Nonzero solutions for a class of set-valued variational inequalities in reflexive Banach spaces ⋮ The nonzero solutions and multiple solutions for a class of bilinear variational inequalities

Cites Work

• Positive solutions of variational inequalities: A degree-theoretic approach
• The existence of nonzero solutions for a class of variational inequalities by index
• Positive solutions to a system of variational inequalities
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• Existence theorems for solutions of variational inequalities
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• \(A\)-properness and fixed point theorems for dissipative type maps
• A fixed point theory for weakly inward \(S\)-contractive maps
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