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Showing 1 to 7 of 7 for “"fixed point theorems"”.
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Fixed Point Theorems for Nonexpansive Mappings
Made available in DSpace on 2014-12-09T22:17:56Z (GMT). No. of bitstreams: 1 7013546.pdf: 2174071 bytes, checksum: f1cafc313cc47fbfa02e94c0aa6756f1 (MD5) Previous issue date: 1969
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Geometry in metric spaces and fixed point theorems for classes of nonexpansive type mappings
… recent results obtained on the existence of Fxed points for nonexpansive mappings and orbit-nonexpansive mappings in the general context of metric spaces. Additionally, our tech- niques will allow us to deduce the existence of common xed points for groups of such mappings based on features of the …
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Applications Of Leggett Williams Type Fixed Point Theorems To A Second Order Difference Equation
<p>Using extensions of the Leggett-Williams fixed-point theorem, we prove the existence of solutions for a class of second-order difference equations with Dirichlet boundary conditions. We present these fixed point theorems and then show what conditions have to be met in order to satisfy the …
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Existence of Positive Solutions to a Family of Fractional Two-Point Boundary Value Problems
… Krasnozel'skii's, and Legget-Williams fixed point theorems to prove the existence of positive solutions under different conditions. </p>
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Generalized metrics and topology in logic programming semantics
Many fixed-point theorems are essentially topological in nature. Among them are the Banach contraction mapping theorem on metric spaces and the fixed-point theorem for Scott-continuous mappings on complete partial orders. The latter theorem is fundamental in denotational semantics since semantic …
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Fixed Points and Coincidences
… on topological spaces. In Chapter 3 we provide theorems extending the well-known fixed point theorems for multivalued maps on topological vector spaces, as well as some selection theorems.
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Mathematical and Computational Methods for the n-Body Problem
… where periodic orbits correspond to critical points of an action functional defined over the space of periodic loops. A discretised Fourier representation is then introduced, reducing the infinite-dimensional variational problem to a finite-dimensional optimisation task. Within this setting, …