Variational principles using a non-symmetric non-triangular distance.
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| Title: | Variational principles using a non-symmetric non-triangular distance. |
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| Authors: | Boonyam, Natthaya1 (AUTHOR) natthaya.b@mail.kmutt.ac.th, Chaipunya, Parin1,2 (AUTHOR) parin.cha@kmutt.ac.th, Kumam, Poom1,2 (AUTHOR) poom.kum@kmutt.ac.th |
| Source: | Fixed Point Theory & Algorithms for Sciences & Engineering. 1/22/2026, Vol. 2026 Issue 1, p1-14. 14p. |
| Subjects: | Variational principles, Fixed point theory, Equilibrium |
| Abstract: | We consider Borwein-Preiss and Ekeland variational principles using a distance function that neither is symmetric nor enjoy the triangular inequality. All the given results rely exclusively on the convergence and continuity behaviors induced synthetically by the distance function itself without any topological implications. At the end of the paper, we also present two applications; the Caristi fixed point theorem and an existence theorem for equilibrium problems. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | We consider Borwein-Preiss and Ekeland variational principles using a distance function that neither is symmetric nor enjoy the triangular inequality. All the given results rely exclusively on the convergence and continuity behaviors induced synthetically by the distance function itself without any topological implications. At the end of the paper, we also present two applications; the Caristi fixed point theorem and an existence theorem for equilibrium problems. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 27305422 |
| DOI: | 10.1186/s13663-026-00824-w |
