Abstract
Metrical fixed point theory is accomplished by a wide class of terms:
$\bullet$ operators (bounded, Lipschitz, contraction, contractive, nonexpansive, noncontractive, expansive, dilatation, isometry, similarity, Picard, weakly Picard, Bessaga, Janos, Caristi, pseudocontractive, accretive, etc.),
$\bullet$ convexity (strict, uniform, hyper, etc.),
$\bullet$ deffect of some properties (measure of noncompactness, measure of nonconvexity, minimal displacement, etc.),
$\bullet$ data dependence (stability, Ulam stability, well-posedness, shadowing property, etc.),
$\bullet$] attractor,
$\bullet$ basin of attraction$\ldots$
The purpose of this paper is to study several properties of these concepts with respect to equivalent metrics.
Citation
Adrian Petruşel. Ioan A. Rus. Marcel-Adrain Şerban. "The role of equivalent metrics in fixed point theory." Topol. Methods Nonlinear Anal. 41 (1) 85 - 112, 2013.
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