A-monotonicity and applications to nonlinear variational inclusion problems
By Ram U. Verma. 2004
120 citations recorded by the source corpus.
A new notion of the A -monotonicity is introduced, which generalizes the H -monotonicity. Since the A -monotonicity originates from hemivariational inequalities, and hemivariational inequalities are connected with nonconvex energy functions, it turns out to be a useful tool proving the existence of solutions of nonconvex constrained problems as well.
Subfields: Automotive Engineering, Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/c4b00716b9994ee9c818bf9e3493cfb01bf940e1
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In Automotive Engineering
In Computational Theory and Mathematics
In Mechanics of Materials
Citations in the corpus
- A-monotone nonlinear relaxed cocoercive variational inclusions (2007, methodology): “In this section we recall the notion of A − monotonicity [ 6 , 7], that generalizes the wellknown class of maximal monotone mappings, as well as the notion of H −monotonicity [3].”
- On a new system of nonlinear A-monotone multivalued variational inclusions ✩ (2007, background): “[16,17] Let A :H → H be r-strongly monotone and M :H → 2H be A-monotone with constant m.”
- A new system of generalized mixed quasi-variational inclusions with (H,η)-monotone operators☆ (2007, background): “Verma [20–24] introduced and studied some systems of variational inequalities and developed some iterative algorithms for approximating the solutions of system of variational inequalities in Hilbert spaces.”