Work

Quasi-Lower C2 Functions and Their Application to Nonconvex Variational Problems

Year: 2024

Type: article

Abstract: This study presents a novel category of nonconvex functions in Banach spaces, referred to as quasi-lower C2 functions on nonempty closed sets. We establish the existence of solutions for nonconvex variational problems involving quasi-lower C2 functions defined in Banach spaces. To illustrate the applicability of our findings, an example is provided in Lp spaces.

Source: Axioms

DOI: 10.3390/axioms13120870

Author: Messaoud Bounkhel

Institution: King Saud University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: King Saud University