Weak convergence of the sequence of successive approximations for para- nonexpansive mappings.
Weak convergence theorem by an extragradient method for variational inequality, equilibrium and fixed point problems.
Weak convergence theorem for Passty type asymptotically nonexpansive mappings.
Weak convergence theorems for a countable family of strict pseudocontractions in Banach spaces.
Weak convergence theorems for a system of mixed equilibrium problems and nonspreading mappings in a Hilbert space.
Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces
Weak convergence theorems of three iterative methods for strictly pseudocontractive mappings of Browder-Petryshyn type.
Weak essential spectra of multiplication operators on spaces of bounded linear operators.
Weak fixed point property and Banach lattices
Weak formulation of singular differential expressions in spaces of functions with minimal derivatives.
Weak Grothendieck's theorem.
Weak Kato-Inequalities and Positive Semigroups.
Weak- estimates and ergodic theorems.
Weak linking theorems and Schrödinger equations with critical Sobolev exponent
In this paper we establish a variant and generalized weak linking theorem, which contains more delicate result and insures the existence of bounded Palais–Smale sequences of a strongly indefinite functional. The abstract result will be used to study the semilinear Schrödinger equation , where are periodic in for and 0 is in a gap of the spectrum of ; . If for an appropriate constant , we show that this equation has a nontrivial solution.
Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent
In this paper we establish a variant and generalized weak linking theorem, which contains more delicate result and insures the existence of bounded Palais–Smale sequences of a strongly indefinite functional. The abstract result will be used to study the semilinear Schrödinger equation , where N ≥ 4; V,K,g are periodic in xj for 1 ≤ j ≤ N and 0 is in a gap of the spectrum of -Δ + V; K>0. If for an appropriate constant c, we show that this equation has a nontrivial solution.
Weak multiplicative operators on function algebras without units
For a function algebra A let ∂A be the Shilov boundary, δA the Choquet boundary, p(A) the set of p-points, and |A| = |f|: f ∈ A. Let X and Y be locally compact Hausdorff spaces and A ⊂ C(X) and B ⊂ C(Y) be dense subalgebras of function algebras without units, such that X = ∂A, Y = ∂B and p(A) = δA, p(B) = δB. We show that if Φ: |A| → |B| is an increasing bijection which is sup-norm-multiplicative, i.e. ||Φ(|f|)Φ(|g|)|| = ||fg||, f,g ∈ A, then there is a homeomorphism ψ: p(B) → p(A) with respect...
Weak solution for fractional order integral equations in reflexive Banach spaces
Weak solutions of degenerated quasilinear elliptic equations of higher order.
Weak solutions of differential equations in Banach spaces
In this paper we prove a theorem for the existence of pseudo-solutions to the Cauchy problem, x' = f(t,x), x(0) = x₀ in Banach spaces. The function f will be assumed Pettis-integrable, but this assumption is not sufficient for the existence of solutions. We impose a weak compactness type condition expressed in terms of measures of weak noncompactness. We show that under some additionally assumptions our solutions are, in fact, weak solutions or even strong solutions. Thus, our theorem is an essential...
Weak spectral equivalence and weak spectral convergence