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We consider sufficient conditions which guarantee that a planar embedding has a unique fixed point. We study sufficient conditions which imply the appearing of a globally attracting fixed point for such an embedding.

动力系统 · 数学 2007-05-23 Begona Alarcon , Victor Guinez , Carlos Gutierrez

In this paper, we introduce a generalized notion of monotone property and prove some results regarding existence and uniqueness of multi-tupled fixed points for nonlinear contraction mappings satisfying monotone property in ordered complete…

泛函分析 · 数学 2016-10-04 Aftab Alam , Mohammad Imdad , Stojan Radenovic

This paper exhibits a general and uniform method to prove completeness for certain modal fixpoint logics. Given a set \Gamma of modal formulas of the form \gamma(x, p1, . . ., pn), where x occurs only positively in \gamma, the language…

计算机科学中的逻辑 · 计算机科学 2008-12-16 Luigi Santocanale , Yde Venema

In this paper, considering a wider class of simulation functions some fixed point results for multivalued mappings in $\alpha$-complete metric spaces have been presented. Results obtained in this paper extend and generalize some well-known…

综合数学 · 数学 2018-01-17 Deepesh Kumar Patel

Motivated by the intermediate Lang conjectures on hyperbolicity and rational points, we prove new finiteness results for non-constant morphisms from a fixed variety to a fixed variety defined over a number field by applying Faltings's…

数论 · 数学 2021-12-22 Ariyan Javanpeykar

The paper aims to develop a framework for coalgebraic fuzzy geometric logic by adding modalities to the language of fuzzy geometric logic. Using the methods of coalgebra, the modal operators are introduced in the language of fuzzy geometric…

计算机科学中的逻辑 · 计算机科学 2022-09-08 Litan Kumar Das , Kumar Sankar Ray , Prakash Chandra Mali

In this work we propose a formal system for fuzzy algebraic reasoning. The sequent calculus we define is based on two kinds of propositions, capturing equality and existence of terms as members of a fuzzy set. We provide a sound semantics…

计算机科学中的逻辑 · 计算机科学 2021-10-22 Davide Castelnovo , Marino Miculan

We consider the explicit fragment of the basic justification stit logic introduced in earlier publications. We define a Hilbert-style axiomatic system for this logic and show that this system is strongly complete relative to the intended…

逻辑 · 数学 2017-09-21 Grigory K. Olkhovikov

Fair termination is the property of programs that may diverge "in principle" but that terminate "in practice", i.e. under suitable fairness assumptions concerning the resolution of non-deterministic choices. We study a conservative…

计算机科学中的逻辑 · 计算机科学 2022-07-11 Luca Ciccone , Luca Padovani

We present the notions of positively complete theory and general forms of amalgamation in the framework of positive logic. We explore the fundamental properties of positively complete theories and study the behaviour of companion theories…

逻辑 · 数学 2019-11-15 Mohammed Belkasmi

Based on the recently developed theory of random sequential compactness, we prove the random Kakutani fixed point theorem in random normed modules: if G is a random sequentially compact L0-convex subset of a random normed module, then every…

泛函分析 · 数学 2025-10-07 Qiang Tu , Xiaohuan Mu , Tiexin Guo , Guang Yang , Yuanyuan Sun

We establish some new common fixed point theorems of single-valued and multivalued mappings operating between complete ordered locally convex spaces under weaker assumptions. As an application, we prove a new minimax theorem of existence of…

泛函分析 · 数学 2021-09-21 Driss Mentagui , Azennar Radouane

The fixed point variety of a regular unipotent element on a wonderful completion is investigated. For the wonderful completion of the quotient by a symmetric Levi subgroup, it is shown that the fixed point variety is $SL_2$-regular.

代数几何 · 数学 2020-12-22 Mahir Bilen Can

The infinitary propositional logic of here-and-there is important for the theory of answer set programming in view of its relation to strongly equivalent transformations of logic programs. We know a formal system axiomatizing this logic…

计算机科学中的逻辑 · 计算机科学 2016-08-05 Amelia Harrison , Vladimir Lifschitz , Julian Michael

We construct a De Morgan algebra-valued logic with quantifiers, where the truth values are in a finite De Morgan algebra, We show that there is a representation theorem of the cylindric algebra of this logic from which a completeness…

逻辑 · 数学 2014-09-02 Norman Feldman

The idea of monotonicity (or positive-definiteness in the linear case) is shown to be the central theme of the solution theories associated with problems of mathematical physics. A "grand unified" setting is surveyed covering a…

偏微分方程分析 · 数学 2014-06-19 Rainer Picard , Sascha Trostorff , Marcus Waurick

This paper contributes to a theory of the behaviour of "finite-state" systems that is generic in the system type. We propose that such systems are modelled as coalgebras with a finitely generated carrier for an endofunctor on a locally…

计算机科学中的逻辑 · 计算机科学 2019-09-09 Stefan Milius , Dirk Pattinson , Thorsten Wißmann

We prove that every endomorphism which satisfies Axiom A and the strong transversality conditions is $C^1$-inverse limit structurally stable. These conditions were conjectured to be necessary and sufficient. This result is applied to the…

动力系统 · 数学 2013-07-01 Pierre Berger , Alejandro Kocsard

We prove fixed point theorems in a space with a distance function that takes values in a partially ordered monoid. On the one hand, such an approach allows one to generalize some fixed point theorems in a broad class of spaces, including…

泛函分析 · 数学 2026-03-24 Vladyslav Babenko , Vira Babenko , Oleg Kovalenko

We first partly develop a mathematical notion of stable consistency intended to reflect the actual consistency property of human beings. Then we give a generalization of the first and second G\"odel incompleteness theorem to stably…

计算机科学中的逻辑 · 计算机科学 2022-08-16 Yasha Savelyev