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Fixed points and eigenvalues for countably asymptotically \(\Phi\)-nonexpansive operators on convex sets under asymptotic contractive-type conditions - MaRDI portal

Fixed points and eigenvalues for countably asymptotically \(\Phi\)-nonexpansive operators on convex sets under asymptotic contractive-type conditions (Q2659582)

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Fixed points and eigenvalues for countably asymptotically \(\Phi\)-nonexpansive operators on convex sets under asymptotic contractive-type conditions
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    Fixed points and eigenvalues for countably asymptotically \(\Phi\)-nonexpansive operators on convex sets under asymptotic contractive-type conditions (English)
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    26 March 2021
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    In this paper, the authors give fixed point and eigenvalue theorems which generalize previous results from normed to locally convex spaces. The theorems hold for so-called countably \(\Phi\)-condensing operators. Krasnosel'skij-type results for sums of operators are also discussed.
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    fixed point theorem
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    eigenvalues
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    countably asymptotically \(\Phi\)-nonexpansive
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    asymptotic contractive
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    locally convex space
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