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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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Fixed Point Results and Convergence of Powers of Operators,d convex subset . of a Banach space, we show that the iterates of a typical element (in the sense of Baire’s categories) of a class of continuous self-mappings of . converge uniformly on . to the unique fixed point of this typical element.
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Book 2014approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine
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https://doi.org/10.1007/978-981-16-4995-0g, stability of the fixed point under small perturbations of a mapping and many other results. In particular, for a given nonempty, bounded, closed and convex subset . of a Banach space, we show that the iterates of a typical element (in the sense of Baire’s categories) of a class of continuous self
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https://doi.org/10.1007/978-1-349-22979-6tractive. We also study nonexpansive mappings which are contractive with respect to a given subset of their domain and establish fixed point and convergence theorems for certain mappings of contractive type which take a closed subset of a complete metric space . into .. We study well-posedness of fi
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Neil Hannan B.Ec, LLB (Monash) Ph.D (UWA)hare a common convex Lyapunov function .. We introduce the concept of normality and show that a generic element taken from this space is normal. The sequence of values of the Lyapunov uniformly continuous function . along any (unrestricted) trajectory of such an element tends to the infimum of . on
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