Sequential Coercivity over Quasi-Ordered Quasi-Metric Spaces

Mihai Turinici ()
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Mihai Turinici: A. I. Cuza University

A chapter in Geometry and Non-Convex Optimization, 2025, pp 833-877 from Springer

Abstract: Abstract A quasi-ordered quasi-metric coercivity result is established for sequences of nonsmooth functionals fulfilling Palais-Smale conditions. The core of this approach is an asymptotic statement involving such objects, obtainable from a quasi-ordered quasi-metric variational principle comparable with the related one in Turinici [Romai J., Vol. 7, no. 2 (2011), 169–179].

Keywords: Quasi-ordered metric space; Local maximality principle; Coercive functional; Slope; Palais-Smale condition; Directional derivative (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/978-3-031-87057-6_18

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