The future distribution systems expose to an unprecedented level of uncertainties due to renewable resources, nontraditional loads, aging infrastructure, etc., posing potential risks to secure operation of the *** art...
详细信息
The future distribution systems expose to an unprecedented level of uncertainties due to renewable resources, nontraditional loads, aging infrastructure, etc., posing potential risks to secure operation of the *** article proposes a new technique to estimate the voltage stability margin of the distribution systems with high penetration of *** convergence and robustness under complex and stressed working conditions are guaranteed in theory. This technique is handy for the operation as it features self-adaptive step size and is applicable to general system topology. It leverages a newly derived analytical solvability certificate based on the Kantorovich fixed-point theorem. A fast version of the proposed technique is duly proposed to speed up the computation up to 8 times while maintaining high accuracy, which lends itself to online and time-sensitive emergency tasks. Numerical simulations with various IEEE test feeders verify the performance of the techniques.
In this article we present a fixed-point theorem of operator equations defined in cones of Banach spaces, where the spectral radius of the operator is involved. The operator is an S-type operator, a meaning introduced...
详细信息
In this article we present a fixed-point theorem of operator equations defined in cones of Banach spaces, where the spectral radius of the operator is involved. The operator is an S-type operator, a meaning introduced here. As an application of our main theorem, we get the existence of positive solutions to two boundary-value problems, extending several results from the literature. (C) 2009 Elsevier Ltd. All rights reserved.
A new fixed-point theorem for a family of maps defined on product spaces is obtained. The new result requires the functions involved to satisfy the local intersection properties. Previous results required the function...
详细信息
A new fixed-point theorem for a family of maps defined on product spaces is obtained. The new result requires the functions involved to satisfy the local intersection properties. Previous results required the functions to have the open lower sections which are more restrictive conditions. New properties of multivalued maps are provided and applied to prove the new fixed-point theorem. Applications to problems on sets with convex sections and to the existence of Nash equilibria for a family of continuous functions are given. (C) 2002 Elsevier Science Ltd. All rights reserved.
We examine the solvability of fractional integral equations using the techniques of measure of noncompactness and the Petryshyn's fixed-point theorem in Banach space concerning the Riemann-Liouville integral opera...
详细信息
We examine the solvability of fractional integral equations using the techniques of measure of noncompactness and the Petryshyn's fixed-point theorem in Banach space concerning the Riemann-Liouville integral operator. The results obtained in this paper cover some earlier results obtained by numerous authors under weaker conditions. In the end, two applications are given to illustrate the major result.
In this paper we propose a basic fixed-point theorem for correspondences inspired by Tarski's intersection pointtheorem. This result furnishes an efficient tool to prove the existence of pure strategy Nash equili...
详细信息
In this paper we propose a basic fixed-point theorem for correspondences inspired by Tarski's intersection pointtheorem. This result furnishes an efficient tool to prove the existence of pure strategy Nash equilibria for two player games with possibly discontinuous payoffs functions defined on compact real intervals.
This paper aims to provide new sufficient conditions for the existence of solutions to a vector quasi-equilibrium problem with set-valued mappings. Using a very recent Browder-type fixed-point theorem, which allows us...
详细信息
This paper aims to provide new sufficient conditions for the existence of solutions to a vector quasi-equilibrium problem with set-valued mappings. Using a very recent Browder-type fixed-point theorem, which allows us to relax the common lower semicontinuity assumptions, the results improve some theorems from the literature and they can be applied where others fail.
Kleene's fixed-point theorem holds uniformly constructive (see [1]). On this basis, a fixed-point theory was developed for the semantics of recursive programs. However, there exist fixed-point theorems which fail ...
详细信息
Kleene's fixed-point theorem holds uniformly constructive (see [1]). On this basis, a fixed-point theory was developed for the semantics of recursive programs. However, there exist fixed-point theorems which fail to hold uniformly constructive, e.g. the computable transformation (induced by an integral) having no computable fixed-point ([2]). Our aim is to exhibit an example of a family of algorithmically computable functions satisfying the conditions of Knaster-Tarski fixed-point theorem, for which there is no uniform algorithmic way to pass from a function in the family to its least fixed-point. Accordingly, the Knaster-Tarski fixed-point theorem is not uniformly constructive in the sense of recursive analysis [3].
The main purpose of this paper is to introduce the notion of weakly upper semicontinuous set-valued maps and to establish a new fixed-point theorem. The set-valued maps with an approximating upper semicontinuous selec...
详细信息
The main purpose of this paper is to introduce the notion of weakly upper semicontinuous set-valued maps and to establish a new fixed-point theorem. The set-valued maps with an approximating upper semicontinuous selection property are also defined. Next, we use our fixed-point result to obtain equilibrium existence in abstract economies with two constraints, which provide a natural scenario for potential applications of our approach to general equilibrium theory. In this regard, we set models of economies with asymmetric informed agents, who are able to improve their initial information through market signals. These economies offer examples in which the informational feasibility requirement represents an additional constraint.
Schauder's fixed-point theorem, which applies for continuous operators, is used in this paper, perhaps unexpectedly, to prove existence of solutions to discontinuous problems. Moreover, we introduce a new version ...
详细信息
Schauder's fixed-point theorem, which applies for continuous operators, is used in this paper, perhaps unexpectedly, to prove existence of solutions to discontinuous problems. Moreover, we introduce a new version of Schauder's theorem for not necessarily continuous operators which implies existence of solutions for wider classes of problems. Leaning on an abstract fixed-point theorem, our approach is not limited to one-dimensional homogeneous Dirichlet problems, the only type of examples worked out in this paper for coherence and simplicity but yet novelty.
A controllable decoding or progressive decoding is an elegant feature for some multimedia applications. In this paper, we present a new fractal image decoding method for fractal image compression based on an extended ...
详细信息
ISBN:
(纸本)1424400600
A controllable decoding or progressive decoding is an elegant feature for some multimedia applications. In this paper, we present a new fractal image decoding method for fractal image compression based on an extended fixed-point iteration theorem. The experimental results show that controlling the fractal decoding process with different non-decreasing sequences is more effective and flexible than the existing conventional decoding methods.
暂无评论