Some remarks on expansive mappings in metric spaces
Ovidiu Popescu, Cristina Maria Pacurar
TL;DR
This paper generalizes fixed point results for q-expansive mappings in metric spaces, extending previous work and providing new theorems and examples to support these findings.
Contribution
It introduces new fixed point theorems for q-expansive mappings, broadening the understanding of expansive mappings in metric spaces.
Findings
Established fixed point theorems for q-expansive mappings
Extended previous results on expansive mappings
Provided examples illustrating the new theorems
Abstract
The aim of this paper is to generalize the results on expansive mappings of Yesilkaya and Aydin from \cite{Yesilkaya}. We give some fixed point results for q-expansive mappings in metric spaces and prove some fixed point theorems for this class of mappings. Finally, we present some examples to support the new results.
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Taxonomy
TopicsFixed Point Theorems Analysis · Nonlinear Differential Equations Analysis