Generalized nonlinear pseudococoercive variational inequalities and general proximal point methods.
Generalized nonlinear variational inclusions involving -monotone mappings in Hilbert spaces.
Generalized nonlinear variational inequality problems involving multivalued mappings.
Generalized quadratic operators and perturbations
We provide a complete description of the perturbation class and the commuting perturbation class of all generalized quadratic bounded operators with respect to a given idempotent bounded operator in the context of complex Banach spaces. Furthermore, we give simple characterizations of the generalized quadraticity of linear combinations of two generalized quadratic bounded operators with respect to a given idempotent bounded operator.
Generalized quasivariational inequalities on Fréchet spaces
In this paper generalized quasivariational inequalities on Fréchet spaces are deduced from new fixed point theory of Agarwal and O’Regan [1] and O’Regan [7].
Generalized resolvents and spectrum for a certain class of perturbed symmetric operators.
Generalized set-valued variational-like inclusions and Wiener--Hopf equations in Banach spaces.
Generalized spectral perturbation and the boundary spectrum
By considering arbitrary mappings from a Banach algebra into the set of all nonempty, compact subsets of the complex plane such that for all , the set lies between the boundary and connected hull of the exponential spectrum of , we create a general framework in which to generalize a number of results involving spectra such as the exponential and singular spectra. In particular, we discover a number of new properties of the boundary spectrum.
Generalized strongly nonlinear implicit quasivariational inequalities.
Generalized strongly set-valued nonlinear complementarity problems.
Generalized telegraph equation and the Sova-Kurtz version of the Trotter-Kato theorem
The Sova-Kurtz approximation theorem for semigroups is applied to prove convergence of solutions of the telegraph equation with small parameter. Convergence of the solutions of the diffusion equation with varying boundary conditions is also considered.
Generalized variational inequalities and associated nonlinear equations
Here we consider the solvability based on iterative algorithms of the generalized variational inequalities and associated nonlinear equations.
Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces
∗ The final version of this paper was sent to the editor when the author was supported by an ARC Small Grant of Dr. E. Tarafdar.Existence theorems of generalized variational inequalities and generalized complementarity problems are obtained in topological vector spaces for demi operators which are upper hemicontinuous along line segments in a convex set X. Fixed point theorems are also given in Hilbert spaces for set-valued operators T which are upper hemicontinuous along line segments in X such...
Generalized variational inequalities involving relaxed monotone mappings and nonexpansive mappings.
Generalized variational inequalities of the Hartman-Stampacchia-Browder type.
Generalized variational-like inequalities for pseudo-monotone type III operators
Our aim in this paper is mainly to prove some existence results for solutions of generalized variational-like inequalities with (η,h)-pseudo-monotone type III operators defined on non-compact sets in topological vector spaces.
Generalized vector equilibrium-like problems without pseudomonotonicity in Banach spaces.
Generalized vector quasi-variational-like inequalities.
Generalized weak peripheral multiplicativity in algebras of Lipschitz functions
Let (X, d X) and (Y,d Y) be pointed compact metric spaces with distinguished base points e X and e Y. The Banach algebra of all -valued Lipschitz functions on X - where is either‒or ℝ - that map the base point e X to 0 is denoted by Lip0(X). The peripheral range of a function f ∈ Lip0(X) is the set Ranµ(f) = f(x): |f(x)| = ‖f‖∞ of range values of maximum modulus. We prove that if T 1, T 2: Lip0(X) → Lip0(Y) and S 1, S 2: Lip0(X) → Lip0(X) are surjective mappings such that for all f, g ∈ Lip0(X),...
Generalized Weyl's theorem and quasi-affinity
A bounded operator T ∈ L(X) acting on a Banach space X is said to satisfy generalized Weyl's theorem if the complement in the spectrum of the B-Weyl spectrum is the set of all eigenvalues which are isolated points of the spectrum. We prove that generalized Weyl's theorem holds for several classes of operators, extending previous results of Istrăţescu and Curto-Han. We also consider the preservation of generalized Weyl's theorem between two operators T ∈ L(X), S ∈ L(Y) intertwined or asymptotically...