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Artículo
El discurso de estudiantes para maestro cuando describen y definen cuerpos geométricos
(Universitat Autónoma de Barcelona, 2021)
En este trabajo, nos planteamos avanzar en el estudio de la práctica matemática de definir de los estudiantes para maestro. Esta investigación ha sido realizada usando un marco teórico sociocultural: la teoría de la ...
Artículo
CAT(k)-spaces, weak convergence and fixed points
(Academic Press, 2009)
In this paper we show that some of the recent results on ¯xed point for CAT(0) spaces still hold true for CAT(1) spaces, and so for any CAT(k) space, under natural boundedness conditions. We also introduce a new notion ...
Artículo
Best Proximity Pair Theorems for Noncyclic Mappings in Banach and Metric Spaces
(Casa Cărţii de Ştiinţă Cluj-Napoca (Rumanía), 2016)
Let A and B be two nonempty subsets of a metric space X. A mapping T : A[B ! A[B is said to be noncyclic if T(A) A and T(B) B. For such a mapping, a pair (x; y) 2 A B such that Tx = x, Ty = y and d(x; y) = dist(A;B) ...
Artículo
On best proximity points in metric and Banach spaces
(University of Toronto Press, 2011)
In this paper we study the existence and uniqueness of best proximity points of cyclic contractions as well as the convergence of iterates to such proximity points. We do it from two different approaches, leading each ...
Artículo
A case study on how Primary-school in-service teachers conjecture and prove: an approach from the mathematical community.
(Indonesian Mathematical Society, 2021)
This paper studies how four primary-school in-service teachers develop the mathematical practices of conjecturing and proving. From the consideration of professional development as the legitimate peripheral participation ...
Artículo
Best proximity pair results for relatively nonexpansive mappings in geodesic spaces
(Marcel. Dekker, 2014)
Given A and B two nonempty subsets in a metric space, a mapping T : A ∪ B → A ∪ B is relatively nonexpansive if d(T x, T y) ≤ d(x, y) for every x ∈ A, y ∈ B. A best proximity point for such a mapping is a point x ∈ A ∪ ...
Artículo
Caracterizando la práctica matemática de demostrar de una investigadora en matemáticas
(Universidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Matemática, Instituto de Geociências e Ciências Exatas, 2022)
Este trabajo forma parte de una investigación más amplia que tiene por objeto caracterizar cómo construyen conjeturas y demostraciones matemáticas los investigadores en matemáticas cuando investigan. Desde la filosofía de ...
Artículo
Best proximity points for proximal contractions
(Yokohama Publishers, 2014)
In this paper we improve and extend some best proximity point results concerning the so- called proximal contractions. Specifically, compactness assumptions under the sets A and B are removed to consider completeness ...