Ekeland’s Variational Principle and Minimization Takahashi’s Theorem in Generalized Metric Spaces
Eshagh Hashemi, Reza Saadati
Mathematics · 2018
doi:10.3390/math6060093 (opens in a new tab)
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Abstract
We consider a distance function on generalized metric spaces and we get a generalization of Ekeland Variational Principle (EVP). Next, we prove that EVP is equivalent to Caristi–Kirk fixed point theorem and minimization Takahashi’s theorem.
Abstract licence: CC BY
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