On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces

Vy Khoi Le ()
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Vy Khoi Le: Missouri University of Science and Technology

Journal of Optimization Theory and Applications, 2022, vol. 192, issue 2, No 4, 484-509

Abstract: 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.

Keywords: Monotone mapping; Nonreflexive Banach space; Multivalued mapping; Variational inequality; Orlicz–Sobolev space; 47J20; 47J22; 47H04; 47H05; 35J87; 58E35 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10957-021-01973-1

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