On Ekeland Variational Principle in Asymmetric b-Metric Spaces
Year: 2025
Type: article
Abstract: 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.
Authors: Yusuf, Anas, Mallam, Junaidu Nafiu
Institution: Federal University Birnin Kebbi
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7087946286
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