Applied General Topology - Vol 18, No 2 (2017)

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https://riunet.upv.es/handle/10251/89572

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Sheaf cohomology on network codings: maxflow-mincut theorem
A decomposition of normality via a generalization of $\kappa$-normalit
An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces
Oriented components and their separations
Improved F-contraction of rational type on partial metric spaces
Generalized open sets in grill N-topology
Quasi-uniform convergence topologies on function spaces- Revisited
Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance
A study of function space topologies for multifunctions
Convergence theorems for finding the split common null point in Banach spaces
Uniform reconstruction of continuous functions with the RAFU method
Some fixed point theorems on non-convex sets
Generalized c-distance on cone b-metric spaces endowed with a graph and fixed point results
Generalized Normal Product Adjacency in Digital Topology

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Now showing 1 - 5 of 14

Generalized Normal Product Adjacency in Digital Topology
(Universitat Politècnica de València, 2017-10-02) Boxer, Laurence
[EN] We study properties of Cartesian products of digital images for which adjacencies based on the normal product adjacency are used. We show that the use of such adjacencies lets us obtain many "product properties" for which the analogous statement is either unknown or invalid if, instead, we were to use c_u-adjacencies.
Generalized c-distance on cone b-metric spaces endowed with a graph and fixed point results
(Universitat Politècnica de València, 2017-10-02) Fallahi, Kamal; Abbas, Mujahid; Soleimani Rad, Ghasem
[EN] The aim of this paper is to present fixed point results of contractive mappings in the framework of cone b-metric spaces endowed with a graph and associated with a generalized c-distance. Some corollaries and an example are presented to support the main result proved herein. Our results unify, extend and generalize various comparable results in the literature.
Some fixed point theorems on non-convex sets
(Universitat Politècnica de València, 2017-10-02) Radhakrishnan, Mohanasundaram; Rajesh, S.; Agrawal, Sushama
[EN] In this paper, we prove that ifKis a nonempty weakly compact setin a Banach spaceX,T:K→Kis a nonexpansive map satisfyingx+Tx2∈Kfor allx∈Kand ifXis3−uniformly convex orXhas theOpial property, thenThas a fixed point in K
Uniform reconstruction of continuous functions with the RAFU method
(Universitat Politècnica de València, 2017-10-02) Corbacho Cortés, Eduardo
[EN] The RAFU (radical functions) method can be used to obtain the uniformreconstruction of a continuous function from its values at some ofthe points of partitions of a closed interval. In this work we willprove that we can reconstruct a continuous function from average samplesof these points, from linear combinations of them and from local averagesamples given by convolution. Uniform error bounds will be established. If these data are unknown but approximate values of them are known, uniform reconstruction will be also possible. Error estimates in these cases will be given. The case of a non-uniform net will be treated. Examples and algorithms will be also shown.
Convergence theorems for finding the split common null point in Banach spaces
(Universitat Politècnica de València, 2017-10-02) Suantai, Suthep; Srisap, Kittipong; Naprang, Natthapong; Mamat, Manatsawin; Yundon, Vithoon; Cholamjiak, Prasit; Thailand Research Fund
[EN] In this paper, we introduce a new iterative scheme for solving the split common null point problem. We then prove the strong convergence theorem under suitable conditions. Finally, we give some numerical examples for our results.

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