Results 11 to 20 of about 58,895 (80)
Urysohn and Hammerstein operators on Hölder spaces
Analysis (Germany), 2022 We present an application-oriented approach to Urysohn and Hammerstein integral operators acting between spaces of Hölder continuous functions over compact metric spaces. These nonlinear mappings are formulated by means of an abstract measure theoretical
Christian Pötzsche
exaly +2 more sources
An Approach of Integral Equations in Complex-Valued b -Metric Space Using Commuting Self-Maps
Journal of Function Spaces, 2022 This paper is aimed at establishing some unique common fixed point theorems in complex-valued b -metric space under the rational type contraction conditions for three self-mappings in which the one self-map is continuous.
R. Bantan +5 more
semanticscholar +2 more sources
, 2021 In this paper we give some common fixed point theorems for Ciric type operators in complex valued b-metric spaces. Also, some corollaries under this contraction condition are obtained. Our results extend and generalize the results of Hammad et al. In the
Muhammad Aslam +4 more
semanticscholar +2 more sources
Interpolation Theorems for Nonlinear Operators in General Morrey-Type Spaces and Their Applications
Proceedings of the Steklov Institute of Mathematics, 2021 We prove new interpolation theorems for a sufficiently wide class of nonlinear operators in Morrey-type spaces. In particular, these theorems apply to Urysohn integral operators. We also obtain analogs of the Marcinkiewicz-Calderon and Stein-Weiss-Peetre
V. Burenkov, E. Nursultanov
semanticscholar +3 more sources
Mediterranean Journal of Mathematics, 2013 We prove some modular convergence theorems for nonlinear Urysohn-type integral operators, applying filter convergence of sequences of functions. We give some applications to Mellin operators, including moment, Mellin-Poisson-Cauchy and Mellin-Gauss ...
A. Boccuto, X. Dimitriou
semanticscholar +4 more sources
Functional Analysis and Its Applications, 2022 Approximations of the image and integral funnel of the closed ball of the space $L_p,$ $p>1,$ under Urysohn type integral operator are considered. The closed ball of the space $L_p,$ $p>1,$ is replaced by the set consisting of a finite number of piecewise-constant functions and it is proved that in the appropriate specifying of the discretization
Huseyin, A. +2 more
openaire +5 more sources
Approximation of generalized nonlinear Urysohn operators using positive linear operators
Filomat, 2021 There are presented two methods for approximation of generalized Urysohn type operators. The first of them is the natural generalization of the method considered first by Demkiv in [1].
C. Păcurar, R. Păltănea
semanticscholar +1 more source
, 2021 In this paper the continuity of the set valued map $p\rightarrow B_{Ω,\mathcal{X},p}(r),$ $p\in (1,+\infty),$ is proved where $B_{Ω,\mathcal{X},p}(r)$ is the closed ball of the space $L_{p}\left(Ω,Σ,μ; \mathcal{X}\right)$ centered at the origin with radius $r,$ $\left(Ω,Σ,μ\right)$ is a finite and positive measure space, $\mathcal{X}$ is separable ...
Huseyin, Anar +2 more
openaire +2 more sources
Continuity of $L_p$ Balls and an Application to Input-Output Systems
, 2022 In this paper, the continuity of the set-valued map $p\rightarrow B_{\Omega, \mathcal{X},p}$, $p\in (1,+\infty)$, is proved where $B_{\Omega, \mathcal{X},p}$ is the closed ball of radius $r$ in the space $L_p(\Omega, \Sigma,mu; \mathcal{X})$ centered at ...
Hüseyin, Nesir
core +2 more sources
Rates of approximation for general sampling-type operators in the setting of filter convergence [PDF]
, 2014 We investigate the order of approximation of a real-valued function f by means of suitable families of sampling type operators, which include both discrete and integral ones.
Xenofon Dimitriou +4 more
core +2 more sources