Generalizations of Melin's inequality to systems
We discuss a recent necessary and sufficient condition for Melin's inequality for a class of systems of pseudodifferential operators.
Generalizations of Mercer's theorem for a class of nonselfadjoint operators
Generalizations of some classical inequalities and their applications
Generalizations of the Lax-Milgram theorem.
Generalizations of the results on powers of -hyponormal operators.
Generalized -resolvent operator technique and sensitivity analysis for relaxed cocoercive variational inclusions.
Generalized almost-convergence vs. matrix summability
Generalized Analytic and Quasi-Analytic Vectors
For every sequence (aₙ) of positive real numbers and an operator acting in a Banach space, we introduce the families of (aₙ)-analytic and (aₙ)-quasi-analytic vectors. We prove various properties of these families.
Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits.
Generalized a-Weyl's theorem and the single-valued extension property.
Let T be a bounded linear operator acting on a Banach space X such that T or T* has the single-valued extension property (SVEP). We prove that the spectral mapping theorem holds for the semi-essential approximate point spectrum σSBF-+(T); and we show that generalized a-Browder's theorem holds for f(T) for every analytic function f defined on an open neighbourhood U of σ(T): Moreover, we give a necessary and sufficient condition for such T to obey generalized a-Weyl's theorem. An application is given...
Generalized a-Weyl's theorem for direct sums
Generalized Banach-Mazur distance
Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type II operators on compact sets
In this paper, the authors prove some existence results of solutions for a new class of generalized bi-quasi-variational inequalities (GBQVI) for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone type II operators defined on compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GBQVI for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone type II operators, we shall use Chowdhury and Tan’s generalized version [3] of Ky Fan’s...
Generalized bi-quasivariational inequalities for quasi-pseudomonotone type II operators on noncompact sets.
Generalized bi-quasi-variational inequalities for quasi-semi-monotone and bi-quasi-semi-monotone operators with applications in non-compact settings and minimization problems.
Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations
In this paper, generalized boundary value problems for nonlinear fractional Langevin equations is studied. Some new existence results of solutions in the balls with different radius are obtained when the nonlinear term satisfies nonlinear Lipschitz and linear growth conditions. Finally, two examples are given to illustrate the results.
Generalized boundary value problems with abstract side conditions and their adjoints. I.
Generalized boundary value problems with abstract side conditions and their adjoints. I
Generalized boundary value problems with abstract side conditions and their adjoints. II
Generalized -almost periodic type functions in
In this paper, we analyze multi-dimensional quasi-asymptotically -almost periodic functions and their Stepanov generalizations as well as multi-dimensional Weyl -almost periodic type functions. We also analyze several important subclasses of the class of multi-dimensional quasi-asymptotically -almost periodic functions and reconsider the notion of semi--periodicity in the multi-dimensional setting, working in the general framework of Lebesgue spaces with variable exponent. We provide certain...