Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Păcurar, Mădălina"'
Autor:
Berinde, Vasile, Păcurar, Mădălina
The aim of this note is threefold: first, to present a few relevant facts about the way in which the technique of enriching contractive mappings was introduced; secondly, to expose the main contributions in the area of enriched mappings established b
Externí odkaz:
http://arxiv.org/abs/2404.04928
Autor:
Pacurar, Madalina
Motivated by the existence of cyclic phenomena in which some characteristics are mapped into corresponding ones over more than one phase, we introduce the $r$-cyclic operators with respect to a covering of a metric space and investigate their behavio
Externí odkaz:
http://arxiv.org/abs/2208.02347
Fixed points theorems for unsaturated and saturated classes of contractive mappings in Banach spaces
Autor:
Berinde, Vasile, Pacurar, Madalina
Based on the technique of enriching contractive type mappings, a technique that has been used successfully in some recent papers, we introduce the concept of {\it saturated} class of contractive mappings. We show that, from this perspective, the cont
Externí odkaz:
http://arxiv.org/abs/2103.15148
Autor:
Berinde, Vasile, Pacurar, Madalina
Existence and uniqueness as well as the iterative approximation of fixed points of enriched almost contractions in Banach spaces are studied. The obtained results are generalizations of the great majority of metric fixed point theorems, in the settin
Externí odkaz:
http://arxiv.org/abs/2103.10289
Autor:
Berinde, Vasile, Păcurar, Mădălina
Publikováno v:
In Topology and its Applications 1 December 2023 340
Autor:
Berinde, Vasile, Păcurar, Mădălina
Using the technique of enrichment of contractive type mappings by Krasnoselskij averaging, introduced in [Berinde, V., {\it Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces}, Carpathian J. Math
Externí odkaz:
http://arxiv.org/abs/1909.03494
Autor:
Berinde, Vasile, Păcurar, Mădălina
We introduce a large class of mappings, called enriched contractions, which includes, amongst many other contractive type mappings, the Picard-Banach contractions and some nonexpansive mappings. We show that any enriched contraction has a unique fixe
Externí odkaz:
http://arxiv.org/abs/1909.02382
Autor:
Berinde, Vasile, Păcurar, Mădălina
The aim of this paper in to introduce a large class of mappings, called {\it enriched Kannan mappings}, that includes all Kannan mappings and some nonexpansive mappings. We study the set of fixed points and prove a convergence theorem for Kransnosels
Externí odkaz:
http://arxiv.org/abs/1909.02379
Autor:
Păcurar Mădălina
Publikováno v:
Demonstratio Mathematica, Vol 56, Iss 1, Pp 75-78 (2023)
We introduced a new general class of Prešić-type operators, by enriching the known class of Prešić contractions. We established conditions under which enriched Prešić operators possess a unique fixed point, proving the convergence of two differ
Externí odkaz:
https://doaj.org/article/b666dfa30249429e89887d114bd29456
Autor:
Berinde, Vasile, Păcurar, Mădalina
Publikováno v:
Carpathian Journal of Mathematics, 2022 Jan 01. 38(3), 523-538.
Externí odkaz:
https://www.jstor.org/stable/27150504