Results 31 to 40 of about 2,706 (176)
Generalized quasi-Banach sequence spaces and measures of noncompactness
Anais da Academia Brasileira de Ciências, 2013 Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA +2 more
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Advances in Difference Equations, 2021 A class of the boundary value problem is investigated in this research work to prove the existence of solutions for the neutral fractional differential inclusions of Katugampola fractional derivative which involves retarded and advanced arguments.
Sina Etemad +4 more
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A Generalization of the Meir-Keeler Condensing Operators and its Application to Solvability of a System of Nonlinear Functional Integral Equations of Volterra Type [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we generalize the Meir-Keeler condensing operators via a concept of the class of operators $ O (f;.)$, that was given by Altun and Turkoglu [4], and apply this extension to obtain some tripled fixed point theorems. As an application of
Shahram Banaei, Mohammad Bagher Ghaemi
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Quantization of the Jackiw-Teitelboim model
, 2009 We study the phase space structure of the Jackiw-Teitelboim model in its connection variables formulation where the gauge group of the field theory is given by local SL(2,R) (or SU(2) for the Euclidean model), i.e.
Constantinidis, Clisthenis P. +2 more
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An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
Hausdorff Measures of Noncompactness and Interpolation Spaces [PDF]
, 2006 2000 Mathematics Subject Classification: 46B50, 46B70, 46G12.A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips.
da Silva, Eduardo Brandani +1 more
core
Remarks on Various Measures of Noncompactness
Journal of Mathematical Analysis and Applications, 1993 Let \(\Omega\) be a bounded set in a metric space \(M\). Denote \(\alpha(\Omega)=\inf\{d>0:\Omega\text{ can be covered by a finite number of sets of diameter at most }d\},\) \(\beta(\Omega)=\inf\{d>0:\Omega\text{ has a finite } d\text{-net in }M\},\) \(\delta(\Omega)=\sup\{\alpha(\Omega'):\Omega'\subseteq\Omega\text{ and } \Omega'\text{ is an } \alpha ...
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Continuity of modulus of noncompact convexity for minimalizable measures of noncompactness
, 2015 We consider the modulus of noncompact convexity $ _{X, }(\varepsilon)$ associated with the minimalizable measure of noncompactness $ $. We present some properties of this modulus, while the main result of this paper is showing that $ _{X, }(\varepsilon)$ is a subhomogenous and continuous function on $[0, (\bar{B}_X))$ for an arbitrary ...
Rekić-Vuković, Amra +3 more
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Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher +2 more
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On a measure of noncompactness in the space of regulated functions and its applications
Advances in Nonlinear Analysis, 2018 In this paper we formulate a criterion for relative compactness in the space of functions regulated on a bounded and closed interval. We prove that the mentioned criterion is equivalent to a known criterion obtained earlier by D.
Banaś Józef, Zając Tomasz
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