Results 81 to 90 of about 851,681 (268)
A Short And Constructive Proof of Tarski's Fixed-Point Theorem [PDF]
I give short and constructive proofs of Tarski's fixed-point theorem, and of a much-used extension of Tarski's fixed-point theorem to set- valued maps.tarski, fixed-point theorem, supermodular, supermodular games, strategic complementarities, equilibrium
Federico Echenique
core
Advanced Science, EarlyView.This study addresses the core scientific question of atomic‐scale structural units and their assembly mechanisms by integrating ion implantation technology— originally developed in nuclear physics research—with flexible intelligent polymers. Through this interdisciplinary approach, we have enabled on‐demand customization of surface functionalities and ...
Yi Chen +11 more
wiley +1 more source
Note on KKM maps and applications
Fixed Point Theory and Applications, 2006 We apply the KKM technique to study fixed point theory, minimax inequality and coincidence theorem. Some new results on Fan-Browder fixed point theorem, Fan's minimax theorem and coincidence theorem are obtained.
B. S. Lee +3 more
doaj +1 more source
Rib‐Reinforced Ultralight and Ultra‐Strong Shell Lattices
Advanced Science, EarlyView.This study thoroughly reveals the relation between the curvature and stress direction of triply periodic minimal surface (TPMS) thin shell lattices and proposes a novel rib reinforcement design strategy to incorporate ribs along the line of asymptotes (LOA) and the line of principal curvatures (LOC) to enhance the strength of ultralight TPMS shell ...
Winston Wai Shing Ma +6 more
wiley +1 more source
Existence of Perfect Equilibria: A Direct Proof [PDF]
We formulate and prove a modification of Eilenberg-Montgomery fixed-point theorem, which is a generalization of Kakutani’s theorem. It enables us to provide a direct proof of the existence of perfect equilibria in finite normal form games and extensive ...
I. Topolyan
core
Advanced Science, EarlyView.This study introduces a novel metamaterial absorber integrating water as a lossy medium with patterned indium tin oxide (ITO) films to achieve simultaneous optical transparency and ultra‐wideband electromagnetic absorption over 0.52‐40 GHz. It effectively overcomes the limitations of conventional opaque and bulky shielding materials, offering a ...
Xiaojun Huang +5 more
wiley +1 more source
On a fixed point theorem of Pathak
International Journal of Mathematics and Mathematical Sciences, 1991 It is shown that the continuity of the mapping in Pathak's fixed point theorem for normed spaces is not necessary.
Brian Fisher
doaj +1 more source
Generalized Caristi's Fixed Point Theorems [PDF]
Fixed Point Theory and Applications, 2009 AbstractWe present generalized versions of Caristi's fixed point theorem for multivalued maps. Our results either improve or generalize the corresponding generalized Caristi's fixed point theorems due to Bae (2003), Suzuki (2005), Khamsi (2008), and others.
openaire +2 more sources
Advanced Science, EarlyView.A universal laser absorption model based on spectral integration enables the design of ultrabroadband dielectric multilayer reflectors for laser protection. The model reveals exponential decay of absorption characterized by two coefficients, and a design that prioritizes short‐wavelength reflection minimizes heating.
Yukang Feng +8 more
wiley +1 more source
A Noncontractive Fixed Point Theorem [PDF]
Proceedings of the American Mathematical Society, 1970 The sequence Txn so constructed contains a subsequence TXnk which converges to some x X and which, by Ascoli's theorem [3], is equicontinuous. It follows in turn from (1) that the sequence Xnk is equicontinuous. To complete the proof it suffices to show xn,(t)-x(t) in B.
openaire +1 more source