Almost Metric Versions of Zhong's Variational Principle

TL;DR

This paper refines Zhong's variational principle within almost metric spaces and explores its applications to equilibrium points, advancing the theoretical understanding of variational principles in generalized metric contexts.

Contribution

It introduces an almost metric version of Zhong's variational principle and demonstrates its application to equilibrium point problems.

Findings

Refined Zhong's variational principle for almost metric spaces

Established new conditions for equilibrium points using the refined principle

Extended the applicability of variational principles to broader metric structures

Abstract

A refinement of Zhong's variational principle [Nonlin. Anal., 29 (1997), 1421-1431] is given, in the realm of almost metric structures. Applications to equilibrium points are also provided.