Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems

NI Chaudhary, MAZ Raja, Y He, ZA Khan… - Applied Mathematical …, 2021 - Elsevier
The development of procedures based on fractional calculus is an emerging research area.
This paper presents a new perspective regarding the fractional least mean square (FLMS) …

A new survey: Cone metric spaces

S Aleksic, Z Kadelburg, ZD Mitrovic… - arXiv preprint arXiv …, 2018 - arxiv.org
The purpose of this new survey paper is, among other things, to collect in one place most of
the articles on cone (abstract, K-metric) spaces, published after 2007. This list can be useful …

[PDF][PDF] Fixed point results of a generalized reversed F-contraction mapping and its application

S Bashir, N Saleem, SM Husnine - AIMS Mathematics, 2021 - aimspress.com
In this paper, we introduce the reversal of generalized Banach contraction principle and
mean Lipschitzian mapping respectively. Secondly, we prove the existence and uniqueness …

Best proximity points of (EP)-operators with qualitative analysis and simulation

GI Usurelu, T Turcanu - Mathematics and Computers in Simulation, 2021 - Elsevier
In this paper, we analyze a Thakur three-step iterative process adapted for the context of non-
self-mappings. Based on this iteration, we state and prove the existence of best proximity …

[PDF][PDF] New iteration process for approximating fixed points in Banach spaces

JD Bhutia, K Tiwary - Journal of linear and topological algebra, 2019 - journals.iau.ir
The object of this paper is to present a new iteration process. We will show that our process
is faster than the known recent iterative schemes. We discuss stability results of our iteration …

Approximate diagonal integral representations and eigenmeasures for Lipschitz operators on Banach spaces

E Erdoğan, EA Sánchez Pérez - Mathematics, 2022 - mdpi.com
A new stochastic approach for the approximation of (nonlinear) Lipschitz operators in
normed spaces by their eigenvectors is shown. Different ways of providing integral …

[PDF][PDF] Convergence of the explicit iteration method for strictly asymptotically pseudocontractive mappings in the intermediate sense

GS Saluja - Novi Sad J. Math, 2014 - emis.de
In this paper, we establish a weak convergence theorem and some strong convergence
theorems of an explicit iteration process for a finite family of strictly asymptotically pseudo …

Fixed points of nonexpansive and quasi-nonexpansive mappings

MS Narayanan, M Marudai - The Journal of Analysis, 2019 - Springer
Abstract In the paper Krasnoselskii–Mann method for non-self mappings in the journal of
Fixed Point Theory and Applications, Colao and Marino proved strong convergence of …

Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces

PD Proinov, IA Nikolova - Journal of Inequalities and Applications, 2014 - Springer
In this paper, we establish a full statement of Ćirić's fixed point theorem in the setting of cone
metric spaces. More exactly, we obtain a priori and a posteriori error estimates for …

A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces

H Zegeye, OA Boikanyo - Topological Algebra and its Applications, 2023 - degruyter.com
In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a
common element of the set of solutions of variational inequality problems for continuous …