Transversality in Variational Analysis

Alexander D. Ioffe ()
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Alexander D. Ioffe: Technion

Journal of Optimization Theory and Applications, 2017, vol. 174, issue 2, No 1, 343-366

Abstract: Abstract We discuss various aspects of newly developed extension of the classical transversality theory to variational analysis and optimization theory. In particular, we give interpretations in transversality terms of some key results (relating to subdifferential calculus, necessary optimality conditions and linear convergence of alternating projections) and prove a set-valued version of the Thom transversality theorem for semi-algebraic objects.

Keywords: Variational analysis; Set-valued mapping; Metric regularity; Subregularity; Subtransversality; Intrinsic transversality; 49J53; 57N75; 90C31 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10957-017-1130-3

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