Results 21 to 30 of about 590,591 (97)
Positive solutions for (p,2)-equations with superlinear reaction and a concave boundary term [PDF]
We consider a nonlinear boundary value problem driven by the $(p,2)$-Laplacian, with a $(p-1)$-superlinear reaction and a parametric concave boundary term (a "concave-convex" problem).
Papageorgiou, Nikolaos+1 more
core +4 more sources
We provide existence results for a fractional differential inclusion with nonlocal conditions and impulses in a reflexive Banach space. We apply a technique based on weak topology to avoid any kind of compactness assumption on the nonlinear term. As an example we consider a problem in population dynamic described by an integro‐partial‐differential ...
Irene Benedetti+3 more
wiley +1 more source
Weak Compactness of Almost Limited Operators
This paper is devoted to the relationship between almost limited operators and weakly compact operators. We show that if F is a σ‐Dedekind complete Banach lattice, then every almost limited operator T : E → F is weakly compact if and only if E is reflexive or the norm of F is order continuous.
Aziz Elbour+3 more
wiley +1 more source
Nonlinear alternatives of Schauder and Krasnosel'skij types with applications to Hammerstein integral equations in L1 spaces [PDF]
This paper is devoted to establishing new variants of some nonlinear alternatives of Leray–Schauder and Krasnosel'skij type involving the weak topology of Banach spaces. The De Blasi measure of weak noncompactness is used.
Djebali, Smaïl, Sahnoun, Zahira
core +1 more source
Topological Properties of the Complex Vector Lattice of Bounded Measurable Functions
Let Σ be a σ‐algebra of subsets of a nonempty set Ω. Let B(Σ) be the complex vector lattice of bounded Σ‐measurable complex‐valued functions on Ω and let ca(Σ) be the Banach space of all bounded countably additive complex‐valued measures on Ω. We study locally solid topologies on B(Σ).
Marian Nowak, Stanislav Hencl
wiley +1 more source
Fixed‐Point Theory on a Frechet Topological Vector Space
We establish some versions of fixed‐point theorem in a Frechet topological vector space E. The main result is that every map A = BC (where B is a continuous map and C is a continuous linear weakly compact operator) from a closed convex subset of a Frechet topological vector space having the Dunford‐Pettis property into itself has fixed‐point.
Afif Ben Amar+3 more
wiley +1 more source
On the Adjoint of a Strongly Continuous Semigroup
Using some techniques from vector integration, we prove the weak measurability of the adjoint of strongly continuous semigroups which factor through Banach spaces without isomorphic copy of l1; we also prove the strong continuity away from zero of the adjoint if the semigroup factors through Grothendieck spaces.
Diómedes Bárcenas+2 more
wiley +1 more source
The τ‐fixed point property for nonexpansive mappings
Let X be a Banach space and τ a topology on X. We say that X has the τ‐fixed point property (τ‐FPP) if every nonexpansive mapping T defined from a bounded convex τ‐sequentially compact subset C of X into C has a fixed point. When τ satisfies certain regularity conditions, we show that normal structure assures the τ‐FPP and Goebel‐Karlovitz′s Lemma ...
Tomás Domínguez Benavides+2 more
wiley +1 more source
Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups [PDF]
We investigate the automorphism groups of $\aleph\_0$-categorical structures and prove that they are exactly the Roelcke precompact Polish groups. We show that the theory of a structure is stable if and only if every Roelcke uniformly continuous function
Tsankov, Todor, Yaacov, Itaï Ben
core +1 more source
Investigations in Hadamard spaces [PDF]
Kjo tezë e doktoratës hulumton ndërveprimin midis gjeometrisë dhe analizës konvekse në hapësirat Hadamard. E motivuar nga aplikime të shumta të gjeometrisë CAT(0), puna jonë bazohet në rezultatet e shumë autorëve të mëparshëmnë mbi analizën konvekse dhe ...
Bërdëllima, Arian
core +1 more source