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Titlebook: Genericity in Nonlinear Analysis; Simeon Reich,Alexander J. Zaslavski Book 2014 Springer Science+Business Media New York 2014 Aubrey-Mathe

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Advancing Cross-Border Developmentof a Banach space. We consider the complete metric space of such pairs equipped with a natural complete metric and show that for most (in the sense of Baire category) pairs the corresponding best approximation problem has a unique solution. We also provide some generalizations and extensions of this result.
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Adrian J. Bailey,Rosa Mas Giraltregular vector fields, show that the convergence property stated above holds for them and that a generic vector field is regular. We also show that this convergence property is stable under small perturbations of a given regular vector field.
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Best Approximation,of a Banach space. We consider the complete metric space of such pairs equipped with a natural complete metric and show that for most (in the sense of Baire category) pairs the corresponding best approximation problem has a unique solution. We also provide some generalizations and extensions of this result.
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https://doi.org/10.1057/9780230373532f open dense sets. Such an approach, when a certain property is investigated for the whole space . and not just for a single point in ., has already been successfully applied in many areas of Analysis. In this chapter we discuss several recent results in metric fixed point theory which exhibit these generic phenomena.
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Introduction,f open dense sets. Such an approach, when a certain property is investigated for the whole space . and not just for a single point in ., has already been successfully applied in many areas of Analysis. In this chapter we discuss several recent results in metric fixed point theory which exhibit these generic phenomena.
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Global Human Migration: An Overview,d its stability for generic infinite products of nonexpansive mappings, uniformly continuous mappings, order-preserving mappings, order-preserving linear mappings, homogeneous order-preserving mappings, products of affine mappings, as well as products of resolvents of accretive operators.
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Infinite Products,d its stability for generic infinite products of nonexpansive mappings, uniformly continuous mappings, order-preserving mappings, order-preserving linear mappings, homogeneous order-preserving mappings, products of affine mappings, as well as products of resolvents of accretive operators.
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