Strictly cyclic operators

1973 ◽  
Vol 40 (3) ◽  
pp. 683-688 ◽  
Author(s):  
Richard Bolstein
Keyword(s):  
Cyclic Operators

Conversion of cyclic operators to a parallel form

Cybernetics ◽  
1983 ◽  
Vol 18 (4) ◽  
pp. 429-435
Author(s):  
A. E. Doroshenko
Keyword(s):  
Parallel Form ◽  
Cyclic Operators

Cyclic operators with finite support

2012 ◽  
Vol 193 (1) ◽  
pp. 131-167 ◽  
Author(s):  
F. Bayart ◽  
G. Costakis
Keyword(s):  
Finite Support ◽  
Cyclic Operators

Fixed point theorems for Zamfirescu mappings in metric spaces endowed with a graph

2015 ◽  
Vol 31 (3) ◽  
pp. 297-305
Author(s):  
FLORIN BOJOR ◽  
◽  
MAGNOLIA TILCA ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cyclic Operators

Let (X, d) be a metric space endowed with a graph G such that the set V (G) of vertices of G coincides with X. We define the notion of G-Zamfirescu maps and obtain a fixed point theorem for such mappings. This extends and subsumes many recent results which were obtained for mappings on metric spaces endowed with a graph and for cyclic operators.

scholarly journals Examples of cyclical operators

2016 ◽  
Vol 32 (3) ◽  
pp. 331-338
Author(s):  
ANDREI HORVAT-MARC ◽  
◽  
MIHAELA PETRIC ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Seminal Paper ◽  
Future Studies ◽  
Cyclic Operators

In this paper, we give examples of cyclic operators defined on various types of sets, in order to illustrate some results in the extremely rich literature following the seminal paper [Kirk, W. A., Srinivasan, P. S. and Veeramani, P., Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, 4 (2003), No. 1, 79 – 89]. All examples which are presented enrich the list of cyclic operators and give a subject to future studies of this type of operators.

Triangular strictly cyclic operators

1987 ◽  
Vol 10 (2) ◽  
pp. 297-303
Author(s):  
Domingo A. Herrero
Keyword(s):  
Cyclic Operators

scholarly journals On convex-cyclic operators

2016 ◽  
Vol 434 (2) ◽  
pp. 1166-1181 ◽  
Author(s):  
Teresa Bermúdez ◽  
Antonio Bonilla ◽  
Nathan S. Feldman
Keyword(s):  
Cyclic Operators

scholarly journals On the largest analytic set for cyclic operators

2003 ◽  
Vol 2003 (30) ◽  
pp. 1899-1909
Author(s):  
A. Bourhim
Keyword(s):  
Banach Space ◽  
Hilbert Space ◽  
Linear Operator ◽  
Bounded Linear Operator ◽  
Bounded Linear ◽  
Analytic Set ◽  
Point Evaluations ◽  
Analytic Bounded Point Evaluations ◽  
Cyclic Operators ◽  
Banach Space Operators

We describe the set of analytic bounded point evaluations for an arbitrary cyclic bounded linear operatorTon a Hilbert spaceℋ; some related consequences are discussed. Furthermore, we show that two densely similar cyclic Banach-space operators possessing Bishop's property(β)have equal approximate point spectra.

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