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Recent Results on Expansive-Type Evolution and Difference Equations: A Survey

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In this survey, we review some old and new results initiated with the study of expansive mappings. From a variational perspective, we study the convergence analysis of expansive and almost-expansive… Click to show full abstract

In this survey, we review some old and new results initiated with the study of expansive mappings. From a variational perspective, we study the convergence analysis of expansive and almost-expansive curves and sequences governed by an evolution equation of the monotone or non-monotone type. Finally, we propose two well-defined algorithms to remedy the shortcomings concerning the ill-posedness of expansive-type evolution systems.

Keywords: results expansive; recent results; expansive type; survey; type evolution

Journal Title: Axioms
Year Published: 2023

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