Results 21 to 30 of about 90 (82)

Applications of Fixed Point Theorems to Generalized Saddle Points of Bifunctions on Chain‐Complete Posets

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We apply the extensions of the Abian‐Brown fixed point theorem for set‐valued mappings on chain‐complete posets to examine the existence of generalized and extended saddle points of bifunctions defined on posets. We also study the generalized and extended equilibrium problems and the solvability of ordered variational inequalities on posets, which are ...
Jinlu Li, Ying Liu, Hongya Gao, Chong Li
wiley   +1 more source

Generalized Contractive Set‐Valued Maps on Complete Preordered Quasi‐Metric Spaces

Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013
By using a suitable modification of the notion of a w‐distance we obtain some fixed point results for generalized contractive set‐valued maps on complete preordered quasi‐metric spaces. We also show that several distinguished examples of non‐metrizable quasi‐metric spaces and of cones of asymmetric normed spaces admit w‐distances of this type.
J. Marín, S. Romaguera, P. Tirado, Gerald Beer   +3 more
wiley   +1 more source

Moment Problems on Bounded and Unbounded Domains

International Journal of Analysis, Volume 2013, Issue 1, 2013., 2013
Using approximation results, we characterize the existence of the solution for a two‐dimensional moment problem in the first quadrant, in terms of quadratic forms, similar to the one‐dimensional case. For the bounded domain case, one considers a space of complex analytic functions in a disk and a space of continuous functions on a compact interval. The
Octav Olteanu, Zhijun Qiao
wiley   +1 more source

Continuous Multi-Utility Representations of Preorders and the Chipman Approach

Axioms
Chipman contended, in stark contrast to the conventional view, that, utility is not a real number but a vector, and that it is inherently lexicographic in nature.
Gianni Bosi, Roberto Daris, Magalì Zuanon   +2 more
doaj   +1 more source

Sequences suffice for pointfree uniform completions

Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
Abstract Completions of metric spaces are usually constructed using Cauchy sequences. However, this does not work for general uniform spaces, where Cauchy filters or nets must be used instead. The situation in pointfree topology is more straightforward: the correct completion of uniform locales can indeed be obtained as a quotient of a locale of Cauchy 
Graham Manuell
wiley   +1 more source

The Elman‐Lam‐Krüskemper Theorem

International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011
For a (formally) real field K, the vanishing of a certain power of the fundamental ideal in the Witt ring of K(-1) implies that the same power of the fundamental ideal in the Witt ring of K is torsion free. The proof of this statement involves a fact on the structure of the torsion part of powers of the fundamental ideal in the Witt ring of K.
Karim Johannes Becher, David B. Leep, D. Herbera, H. You   +3 more
wiley   +1 more source

On the parameterized Tate construction

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension Ĝ$\widehat{G}$ of a finite group G$G$ by a compact Lie group K$K$, which we call the parameterized Tate construction (−)tGK$(-)^{t_G K}$.
J. D. Quigley, Jay Shah
wiley   +1 more source

The compactificability classes of certain spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006
We apply the theory of the mutual compactificability to some spaces, mostly derived from the real line. For example, any noncompact locally connected metrizable generalized continuum, the Tichonov cube without its zero point Iℵ0\{0}, as well as the Cantor discontinuum without its zero point Dℵ0\{0} are of the same class of mutual compactificability as ...
Martin Maria Kovár
wiley   +1 more source

The Interaction of Femtosecond Laser with Perovskites for Advanced Photonics

Advanced Photonics Research, Volume 5, Issue 11, November 2024.
Femtosecond laser processing of halide perovskites can realize high‐solution, arbitrary planar, and 3D micro/nano‐architecture at large‐scale with low‐cost. This review systematically summarizes the interaction of fs laser with perovskites, including the mechanisms, phenomena, and applications.
Beibei Xu, Tao Man, Xintong Yu, Xinyu Cai, Zehui Zhou, Dezhi Tan, Jianrong Qiu   +6 more
wiley   +1 more source

On the existence of certainty equivalents of various relevant types

Journal of Applied Mathematics, Volume 2003, Issue 9, Page 447-458, 2003., 2003
We tackle the problem of associating certainty equivalents with preferences over stochastic situations, which arises in a number of different fields (e.g., the theory of risk attitudes or the analysis of stochastic cooperative games). We study the possibility of endowing such preferences with certainty equivalence functionals that satisfy relevant ...
J. C. R. Alcantud, G. Bosi
wiley   +1 more source