We discuss the extension of some fundamental results in nonlinear analysis to the setting of 0_{\sigma}-complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.
Jleli, M., Samet, B., Vetro, C., Vetro, F. (2014). From Caristi’s Theorem to Ekeland’s Variational Principle in 0_{\sigma}-Complete Metric-Like Spaces. ABSTRACT AND APPLIED ANALYSIS, 2014, 1-7 [10.1155/2014/319619].
From Caristi’s Theorem to Ekeland’s Variational Principle in 0_{\sigma}-Complete Metric-Like Spaces
VETRO, Calogero;VETRO, Francesca
2014-01-01
Abstract
We discuss the extension of some fundamental results in nonlinear analysis to the setting of 0_{\sigma}-complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.
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