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Convergent Regularization in Inverse Problems and Linear Plug-and-Play Denoisers
Regularization is necessary when solving inverse problems to ensure the well-posedness of the solution map. Additionally, it is desired that the...
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A Unified Theory of Non-overlap** Robin–Schwarz Methods: Continuous and Discrete, Including Cross Points
Non-overlap** Schwarz methods with generalized Robin transmission conditions were originally introduced by B. Després for time-harmonic wave...
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On a fractional q-differential inclusion on a time scale via endpoints and numerical calculations
By using an endpoint result for set-valued maps, we study the existence of solutions for a fractional q -differential inclusion with sum and integral...
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On a system of fractional q-differential inclusions via sum of two multi-term functions on a time scale
Nowadays most researchers have been focused on fractional calculus because it has been proved that fractional derivatives could describe most...
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Some Results on Strongly Pseudomonotone Quasi-Variational Inequalities
In this paper, strongly pseudomonotone quasi-variational inequalities are investigated. We provide sufficient conditions for existence and uniqueness...
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N fixed point theorems and N best proximity point theorems for generalized contraction in partially ordered metric spaces
The purpose of this paper is to prove the n fixed point theorems and n best proximity point theorems for generalized contraction in partially ordered...
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A strong convergence theorem for a general split equality problem with applications to optimization and equilibrium problem
The purpose of this paper is to introduce and study an iterative algorithm for solving a general split equality problem. The problem consists of...
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An Application of the S-Functional Calculus to Fractional Diffusion Processes
In this paper we show how the spectral theory based on the notion of S -spectrum allows us to study new classes of fractional diffusion and of...
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An Introduction to Fractional Powers of Quaternionic Operators and New Fractional Diffusion Processes
The spectral theory based on the notion of S-spectrum, for quaternionic operators and in particular for vector operators, has been introduced about...
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Nonlinear integral equations with new admissibility types in b-metric spaces
In this paper, we aim to introduce new types of α -admissibility in the framework of b -metric spaces. Some examples to show the independently of each...
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Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means
We consider abstract non-negative self-adjoint operators on L 2 ( X ) which satisfy the finite-speed propagation property for the corresponding wave...
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Applications of Hilbert Module Approach to Multivariable Operator Theory
A commuting n-tuple...
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Approximating fixed points for generalized nonexpansive map** in
Takahashi and Kim (Math. Jpn. 48:1-9, 1998) used the Ishikawa iteration process to prove some convergence theorems for nonexpansive map**s in...
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Smooth Fourier multipliers on group von Neumann algebras
We investigate Fourier multipliers on the compact dual of arbitrary discrete groups. Our main result is a Hörmander–Mihlin multiplier theorem for...
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Applications of Hilbert Module Approach to Multivariable Operator Theory
A commuting n-tuple (T 1, …, T n ) of bounded linear operators on a Hilbert space...
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Model theory of operator algebras II: model theory
We introduce a version of logic for metric structures suitable for applications to C*-algebras and tracial von Neumann algebras. We also prove a...
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Strong convergence of an iterative method for pseudo-contractive and monotone map**s
In this paper, we introduce an iterative process which converges strongly to a common element of fixed points of pseudo-contractive map** and...
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Erlangen Program at Large: An Overview
This is an overview of the Erlangen Program at Large. Study of objects and properties, which are invariant under a group action, is very fruitful far...
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Multifractal formalism for self-affine measures with overlaps
We prove that for a class of self-affine measures defined by an expanding matrix whose eigenvalues have the same modulus, the L q -spectrum τ( q ) is...