On variational methods for interval-valued functions with some applications

Chuang-liang Zhang, Nan-jing Huang and O’Regan, Donal

Chaos, Solitons & Fractals, 2023, vol. 167, issue C

Abstract: In this paper, we introduce the concept of sequential weak lower semicontinuity of interval-valued functions defined on a Banach space. We focus on the direct methods of the calculus of variations for interval-valued functions and extend some well-known results of F.E. Browder from scalar results to interval-valued cases. Moreover, we obtain some new results on the Palais–Smale condition and the coercivity for interval-valued functions. Finally, we apply the obtained results to interval-valued integral functions, to interval-valued optimal control problems, and to variational problems for interval-valued functions.

Keywords: Sequential weak lower semicontinuity; Interval-valued function; Calculus of variations; Palais–Smale condition; Coercivity (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922012620

DOI: 10.1016/j.chaos.2022.113083

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