Applied General Topology - Vol 18, No 2 (2017)
https://riunet.upv.es:443/handle/10251/89572
Sat, 10 Aug 2024 10:08:19 GMT2024-08-10T10:08:19ZApplied General Topology - Vol 18, No 2 (2017)https://riunet.upv.es:443/bitstream/id/398492/
https://riunet.upv.es:443/handle/10251/89572
Generalized Normal Product Adjacency in Digital Topology
https://riunet.upv.es:443/handle/10251/89653
Generalized Normal Product Adjacency in Digital Topology
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.
Fri, 20 Oct 2017 06:59:19 GMThttps://riunet.upv.es:443/handle/10251/896532017-10-20T06:59:19ZGeneralized c-distance on cone b-metric spaces endowed with a graph and fixed point results
https://riunet.upv.es:443/handle/10251/89592
Generalized c-distance on cone b-metric spaces endowed with a graph and fixed point results
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.
Thu, 19 Oct 2017 12:48:36 GMThttps://riunet.upv.es:443/handle/10251/895922017-10-19T12:48:36ZSome fixed point theorems on non-convex sets
https://riunet.upv.es:443/handle/10251/89591
Some fixed point theorems on non-convex sets
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
Thu, 19 Oct 2017 12:44:48 GMThttps://riunet.upv.es:443/handle/10251/895912017-10-19T12:44:48ZUniform reconstruction of continuous functions with the RAFU method
https://riunet.upv.es:443/handle/10251/89590
Uniform reconstruction of continuous functions with the RAFU method
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.
Thu, 19 Oct 2017 12:40:29 GMThttps://riunet.upv.es:443/handle/10251/895902017-10-19T12:40:29ZConvergence theorems for finding the split common null point in Banach spaces
https://riunet.upv.es:443/handle/10251/89589
Convergence theorems for finding the split common null point in Banach spaces
Suantai, Suthep; Srisap, Kittipong; Naprang, Natthapong; Mamat, Manatsawin; Yundon, Vithoon; Cholamjiak, Prasit
[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.
Thu, 19 Oct 2017 12:37:51 GMThttps://riunet.upv.es:443/handle/10251/895892017-10-19T12:37:51ZA study of function space topologies for multifunctions
https://riunet.upv.es:443/handle/10251/89588
A study of function space topologies for multifunctions
Gupta, Ankit; Sarma, Ratna Dev
[EN] Function space topologies are investigated for the class ofcontinuousmultifunctions. Using the notion of continuous convergence, splitting-ness and admissibility are discussed for the topologies on continuousmultifunctions. The theory of net of sets is further developed for thispurpose. The(τ,μ)-topology on the class of continuous multifunctionsis found to be upper admissible, while the compact-open topology isupper splitting. The point-open topology is the coarsest topology whichis coordinately admissible, it is also the finest topology which is coor-dinately splitting.
Thu, 19 Oct 2017 12:35:06 GMThttps://riunet.upv.es:443/handle/10251/895882017-10-19T12:35:06ZMultiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance
https://riunet.upv.es:443/handle/10251/89587
Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance
Choban, Mitrofan M; Berinde, Vasile
[EN] We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appropriate monotonicity properties. This notion and the obtained results complement the corresponding ones from [M. Choban, V. Berinde, A general concept of multiple fixed point for mappings defined on spaces with a distance, Carpathian J. Math. 33 (2017), no. 3, 275--286] and also simplifies some concepts of multiple fixed point considered by various authors in the last decade or so.
Thu, 19 Oct 2017 12:32:01 GMThttps://riunet.upv.es:443/handle/10251/895872017-10-19T12:32:01ZQuasi-uniform convergence topologies on function spaces- Revisited
https://riunet.upv.es:443/handle/10251/89586
Quasi-uniform convergence topologies on function spaces- Revisited
Alqurash, Wafa Khalaf; Khan, Liaqat Ali
[EN] Let X and Y be topological space and F(X,Y) the set of all functions from X into Y. We study various quasi-uniform convergence topologies U_{A} (A⊆P(X)) on F(X,Y) and their comparison in the setting of Y a quasi-uniform space. Further, we study U_{A}-closedness and right K-completeness properties of certain subspaces of generalized continuous functions in F(X,Y) in the case of Y a locally symmetric quasi-uniform space or a locally uniform space.
Thu, 19 Oct 2017 12:27:15 GMThttps://riunet.upv.es:443/handle/10251/895862017-10-19T12:27:15ZGeneralized open sets in grill N-topology
https://riunet.upv.es:443/handle/10251/89584
Generalized open sets in grill N-topology
Thivagar, M. Lellis; Reilly, Ivan L; Dasan, M. Arockia; Ramesh, V.
[EN] The aim of this paper is to give a systematic development of grill N-topological spaces and discuss a few properties of local function. We build a topology for the corresponding grill by using the local function. Furthermore, we investigate the properties of weak forms of open sets in the grill N-topological spaces and discuss the relationships between them.
Thu, 19 Oct 2017 12:23:45 GMThttps://riunet.upv.es:443/handle/10251/895842017-10-19T12:23:45ZImproved F-contraction of rational type on partial metric spaces
https://riunet.upv.es:443/handle/10251/89583
Improved F-contraction of rational type on partial metric spaces
Nazam, Muhammad; Arshad, Muhammad; Abbas, Mujahid
[EN] Following the approach of $F$- contraction introduced by Wardowski \cite{DW}, in this paper, we introduce improved $F$-contraction of rational type in the framework of partial metric spaces and used it to obtain a common fixed point theorem for a pair of self mappings. We show, through example, that improved $F$-contraction is more general than $F$- contraction and guarantees fixed points in those cases where $F$-contraction fails to provide. Moreover, we apply this fixed point result to show the existence of common solution of the system of integral equations.
Thu, 19 Oct 2017 12:20:22 GMThttps://riunet.upv.es:443/handle/10251/895832017-10-19T12:20:22Z