-monotonicity and applications to nonlinear variational inclusion problems.
A Morse lemma at infinity for Yamabe type problems on domains
A multi-dimensional spectral theory in C*-algebras
A Multiparameter Strongly Superadditive Ergodic Theorem.
A multiplicity fixed point theorem in Fréchet spaces.
A multiplicity result for a system of real integral equations by use of the Nielsen number
We prove an existence and multiplicity result for solutions of a nonlinear Urysohn type equation (2.14) by use of the Nielsen and degree theory in an annulus in the function space.
A multiplier theorem for Schrödinger operators
A multivalued fixed point theorem in non-archimedean vector spaces.
A natural localization of Hardy spaces in several complex variables
Let H²(bΩ) be the Hardy space of a bounded weakly pseudoconvex domain in . The natural resolution of this space, provided by the tangential Cauchy-Riemann complex, is used to show that H²(bΩ) has the important localization property known as Bishop’s property (β). The paper is accompanied by some applications, previously known only for Bergman spaces.
A new approach for finding weaker conditions for the convergence of Newton's method
The Newton-Kantorovich hypothesis (15) has been used for a long time as a sufficient condition for convergence of Newton's method to a locally unique solution of a nonlinear equation in a Banach space setting. Recently in [3], [4] we showed that this hypothesis can always be replaced by a condition weaker in general (see (18), (19) or (20)) whose verification requires the same computational cost. Moreover, finer error bounds and at least as precise information on the location of the solution can...
A new approach for fuzzy gyronorms on gyrogroups and its fuzzy topologies
In this paper, a new approach for fuzzy gyronorms on gyrogroups is presented. The relations between fuzzy metrics(in the sense of Morsi), fuzzy gyronorms, gyronorms on gyrogroups are studied. Also, some sufficient conditions, which can make a fuzzy normed gyrogroup to be a topological gyrogroup and a fuzzy topological gyrogroup, are found. Meanwhile, the relations between topological gyrogroups, fuzzy topological gyrogroups and stratified fuzzy topological gyrogroups are studied. Finally, the properties...
A new approach to function spaces on quasi-metric spaces.
A new approach to inverse spectral theory. I: Fundamental formalism.
A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure.
A new approach to nonlinear singular integral operators depending on three parameters
In this paper, we present some theorems on weighted approximation by two dimensional nonlinear singular integral operators in the following form: T λ ( f ; x , y ) = ∬ R 2 ( t − x , s − y , f ( t , s ) ) d s d t , ( x , y ) ∈ R 2 , λ ∈ Λ , where Λ is a set of non-negative numbers with accumulation point λ0.
A new approach to the existence results for orientor fields with Nicoletti's boundary conditions
Applying a global bifurcation theorem for convex-valued completely continuous mappings we prove some existence theorems for convex-valued differential inclusions of the form x'∈ F(t,x), where x satisfies the Nicoletti boundary conditions.
A new approximation method for common fixed points of a finite family of generalized asymptotically quasinonexpansive mappings in Banach spaces.
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings.
A new approximation scheme combining the viscosity method with extragradient method for mixed equilibrium problems.
A new characteristic property of Mittag-Leffler functions and fractional cosine functions
A new characteristic property of the Mittag-Leffler function with 1 < α < 2 is deduced. Motivated by this property, a new notion, named α-order cosine function, is developed. It is proved that an α-order cosine function is associated with a solution operator of an α-order abstract Cauchy problem. Consequently, an α-order abstract Cauchy problem is well-posed if and only if its coefficient operator generates a unique α-order cosine function.