Order Preservation of Solution Correspondence to Two-parameter Generalized Variational Inequalities on Hilbert Lattices

SUN Shuqin

Acta Mathematicae Applicatae Sinica ›› 2019, Vol. 42 ›› Issue (1) : 121-131.

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Acta Mathematicae Applicatae Sinica ›› 2019, Vol. 42 ›› Issue (1) : 121-131. DOI: 10.12387/C2019010

Order Preservation of Solution Correspondence to Two-parameter Generalized Variational Inequalities on Hilbert Lattices

  • SUN Shuqin
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Abstract

To study the solvability of generalized variational inequalities in Hilbert lattices, it is not requiring any kind of continuous and monotone. Using the theory of Banach lattice, this paper investigates the order-preservation of solution correspondence for twoparameter generalized variational inequalities in separable Hilbert lattices which improves the corresponding works on single-parameter generalized variational inequalities in earlier results.

Key words

order preservation / solution correspondence / two-parameter generalized variational inequality / Tikhonov regulation / Hilbert lattice

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SUN Shuqin. Order Preservation of Solution Correspondence to Two-parameter Generalized Variational Inequalities on Hilbert Lattices. Acta Mathematicae Applicatae Sinica, 2019, 42(1): 121-131 https://doi.org/10.12387/C2019010

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