A generalization of Krasnoseljski's fixed point theorem in probabilistic locally convex spaces
A generalization of Krasnosel’skii fixed point theorem for sums of compact and contractible maps with application
The existence of a fixed point for the sum of a generalized contraction and a compact map on a closed convex bounded set is proved. The result is applied to a kind of nonlinear integral equations.
A generalization of N. Aronszajn's theorem on connectedness of the fixed point set of a compact mapping
A generalization of parallel addition.
A generalization of peripherally-multiplicative surjections between standard operator algebras
Let A and B be standard operator algebras on Banach spaces X and Y, respectively. The peripheral spectrum σπ (T) of T is defined by σπ (T) = z ∈ σ(T): |z| = maxw∈σ(T) |w|. If surjective (not necessarily linear nor continuous) maps φ, ϕ: A → B satisfy σπ (φ(S)ϕ(T)) = σπ (ST) for all S; T ∈ A, then φ and ϕ are either of the form φ(T) = A 1 TA 2 −1 and ϕ(T) = A 2 TA 1 −1 for some bijective bounded linear operators A 1; A 2 of X onto Y, or of the form φ(T) = B 1 T*B 2 −1 and ϕ(T) = B 2 T*B −1 for some...
A generalization of reflexive Banach spaces and weakly compact operators
A generalization of semi-Fredholm operators.
A generalization of Signorini's perturbation method suggested by two problems of Grioli
A generalization of the Aleksandrov operator and adjoints of weighted composition operators
A generalization of the Aleksandrov operator is provided, in order to represent the adjoint of a weighted composition operator on by means of an integral with respect to a measure. In particular, we show the existence of a family of measures which represents the adjoint of a weighted composition operator under fairly mild assumptions, and we discuss not only uniqueness but also the generalization of Aleksandrov–Clark measures which corresponds to the unweighted case, that is, to the adjoint of...
A generalization of the Hille--Yosida theorem to the case of degenerate semigroups in locally convex spaces.
A generalization of the interior mapping theorem of Clarke and Pourciau
A generalization of the Landesman-Lazer condition.
A generalization of the Lions-Temam compact imbedding theorem
A generalization of the maximal entropy method for solving ill-posed problems.
A generalization of the Opial's theorem
A generalization of the Schauder fixed point theorem via multivalued contractions
We establish a fixed point theorem for a continuous function , where is a Banach space and . Our result, which involves multivalued contractions, contains the classical Schauder fixed point theorem as a special case. An application is presented.
A Generalization of the Stein-Rosenberg Theorem to Banach Spaces.
A generalization of the uniform ergodic theorem to poles of arbitrary order
A generalization of the Yosida-Kakutani ergodic theorem
A generalization of Vesentini and Wermer's theorems