Results 71 to 80 of about 851,681 (268)
Some asymptotic fixed point theorems [PDF]
Transactions of the American Mathematical Society, 1972 By an asymptotic fixed point theorem we mean a theorem in functional analysis in which the existence of fixed points of a map f f is established with the aid of assumptions on the iterates f n {f^n} of f f .
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Heuristically Adaptive Diffusion‐Model Evolutionary Strategy
Advanced Science, EarlyView.Building on the mathematical equivalence between diffusion models and evolutionary algorithms, researchers demonstrate unprecedented control over evolutionary optimization through conditional diffusion. By training diffusion models to associate parameters with specific traits, they can guide evolution toward solutions exhibiting desired behaviors ...
Benedikt Hartl +3 more
wiley +1 more source
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1983 The authors prove fixed point theorems for single-valued and multi-valued mappings satisfying a rational inequality. The results are of the following type: Let \(T: X\to X\) be an orbitally continuous mapping on a metric space such that \[ (i)\quad d(Tx,Ty)
Khan, M. S., Swaleh, M., Imdad, M.
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Some fixed point theorems for discontinuous mappings [PDF]
This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results.Schauder fixed point theorem, Brouwer fixed point theorem, discontinuity.
Philippe Bich
core
Ejecta‐Modulated Bubble Dynamics Play a Dominant Role in Stone Retropulsion
Advanced Science, EarlyView.Stone motion during laser ablation is shown to result primarily from asymmetric cavitation bubble collapse, not from ejecta recoil. This challenges long‐standing assumptions and highlights the dominant role of bubble dynamics in laser–material interactions.
Obed S. Isaac +4 more
wiley +1 more source
On a fixed point theorem Krasnoselskii-Shafer type
Electronic Journal of Qualitative Theory of Differential Equations, 2002 In this paper a variant of a fixed point theorem to Krasnoselskii-Schaefer type is proved and it is further applied to certain nonlinear integral equation of mixed type for proving the existence of the solution.
Bapurao Dhage
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Nonlinear Inequality, Fixed Point and NashEquilibrium [PDF]
In this paper, we give new sufficient conditions for the existence of a solution of theg-maximum equality. As a consequence, we prove a new fixed point theorem.
Moussa Larbani +2 more
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
Fixed-point-like theorems on subspaces
Fixed Point Theory and Applications, 2004 We prove a fixed-point-like theorem for multivalued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex sets. Our result generalizes two different kinds of theorems: the fixed-point-like theorem by Hirsch et al.
Bernard Cornet, Philippe Bich
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Fixed point theorem utilizing operators and functionals
Electronic Journal of Qualitative Theory of Differential Equations, 2012 This paper presents a fixed point theorem utilizing operators and functionals in the spirit of the original Leggett-Williams fixed point theorem which is void of any invariance-like conditions.
Douglas Anderson +3 more
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