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On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces

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  • Vy Khoi Le

    (Missouri University of Science and Technology)

Abstract

We are concerned in this article with the existence of solutions to inclusions containing generalized pseudomonotone perturbations of maximal monotone mappings in general Banach spaces. Our approach is based on a truncation–regularization technique and an extension of the Moreau–Yosida–Brezis–Crandall–Pazy regularization for maximal monotone mappings in general Banach spaces. We also consider some applications to multivalued variational inequalities containing elliptic operators with rapidly growing coefficients in Orlicz–Sobolev spaces.

Suggested Citation

  • Vy Khoi Le, 2022. "On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 192(2), pages 484-509, February.
    • Handle: RePEc:spr:joptap:v:192:y:2022:i:2:d:10.1007_s10957-021-01973-1
    DOI: 10.1007/s10957-021-01973-1
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    References listed on IDEAS

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    1. Akhtar A. Khan & Dumitru Motreanu, 2015. "Existence Theorems for Elliptic and Evolutionary Variational and Quasi-Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 167(3), pages 1136-1161, December.
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