Generalized Caristi's fixed point theorems.
Generalized Cesàro operators on certain function spaces
Motivated by some recent results by Li and Stević, in this paper we prove that a two-parameter family of Cesàro averaging operators is bounded on the Dirichlet spaces . We also give a short and direct proof of boundedness of on the Hardy space for 1 < p < ∞.
Generalized co-complementarity problems in -uniformly smooth Banach spaces.
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation
This paper addresses the derivation of new second-kind Fredholm combined field integral equations for the Krylov iterative solution of tridimensional acoustic scattering problems by a smooth closed surface. These integral equations need the introduction of suitable tangential square-root operators to regularize the formulations. Existence and uniqueness occur for these formulations. They can be interpreted as generalizations of the well-known Brakhage-Werner [A. Brakhage and P. Werner, Arch....
Generalized common fixed point theorems for a sequence of fuzzy mappings.
Generalized communication conditions and the eigenvalue problem for a monotone and homogenous function
This work is concerned with the eigenvalue problem for a monotone and homogenous self-mapping of a finite dimensional positive cone. Paralleling the classical analysis of the (linear) Perron–Frobenius theorem, a verifiable communication condition is formulated in terms of the successive compositions of , and under such a condition it is shown that the upper eigenspaces of are bounded in the projective sense, a property that yields the existence of a nonlinear eigenvalue as well as the projective...
Generalized concentrative mappings and their fixed points
Generalized contractions and fixed-point theorems.
Generalized couplings
Generalized degree in normed spaces.
We present a generalized degree theory for continuous maps f: (D, ∂D) → (E, E0), where E is a normed vectorial space, D is an open subset of Rk x E such that p1(D) is bounded in Rk and f is a compact perturbation of the second projection p2: Rk x E → E.
Generalized densities and distributional adjoints of natural operators.
Generalized derivation modulo the ideal of all compact operators.
Generalized derivations and bilocal Jordan derivations of nest algebras.
Generalized derivations and -algebras.
Generalized derivations and -algebras: comments and some open problems.
Generalized Derivations and Norm Equality in Normed Ideals
2000 Mathematics Subject Classification: 47A10, 47A12, 47A30, 47B10, 47B20, 47B37, 47B47, 47D50.We compare the norm of a generalized derivation on a Hilbert space with the norm of its restrictions to Schatten norm ideals.
Generalized derivations associated with Hochschild 2-cocycles on some algebras
We investigate a new type of generalized derivations associated with Hochschild 2-cocycles which was introduced by A. Nakajima. We show that every generalized Jordan derivation of this type from CSL algebras or von Neumann algebras into themselves is a generalized derivation under some reasonable conditions. We also study generalized derivable mappings at zero point associated with Hochschild 2-cocycles on CSL algebras.
Generalized derivations on Lie ideals in prime rings
Let be a prime ring with its Utumi ring of quotients and extended centroid . Suppose that is a generalized derivation of and is a noncentral Lie ideal of such that for all , where is a fixed integer. Then one of the following holds:
Generalized Derivations on (Semi-)Prime Rings and Noncommutative Banach Algebras
Generalized dissipativeness in a Banach space.