On Ekeland Variational Principle in Asymmetric b-Metric Spaces

This paper extends the Ekeland Variational Principle (EVP) to the setting of asymmetric b-metric spaces,which generalize both asymmetric metric and b-metric spaces. By distinguishing forward, backward and bi-completeness, we establish corresponding forward, backward and bi-complete version of EVP. Examples areprovided to demonstrate that forward and backward principles may yield different minimizers while the bi-completeEVP reduces to the classical EVP when symmetry holds. As an application, we obtain a forward and backwardCartisi-type fixed point theorem. These results broaden the scope of EVP and offer a new tools for optimizationand fixed-point theory in asymmetric frameworks.