https://polipapers.upv.es/index.php/AGT/issue/feedApplied General Topology2018-01-30T13:46:05+01:00Applied General Topologyagt@mat.upv.esOpen Journal Systems<p style="margin-top: 0cm; margin-right: 0cm; margin-bottom: 6.0pt; margin-left: 0cm; text-align: justify; text-justify: inter-ideograph;"><span>The international journal <strong>Applied General Topology</strong> publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications.</span></p>https://polipapers.upv.es/index.php/AGT/article/view/3371Sheaf cohomology on network codings: maxflow-mincut theorem2017-10-26T11:33:33+02:00Miradain Atontsa Nguemomiradain.atontsa@uclouvain.beCalvin Tchekajtcheka@yahoo.fr<p>Surveying briefly a novel algebraic topological application sheaf theory into directed network coding<br />problems, we obtain the weak duality in multiple source scenario by<br />using the idea of modified graph. Furthermore,we establish the<br />maxflow-mincut theorem with network coding sheaves in the case of multiple source.</p>2017-10-02T12:07:29+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/4220A decomposition of normality via a generalization of $\kappa$-normality2017-10-26T11:33:33+02:00Ananga Kumar Dasakdasdu@yahoo.co.inPratibha Bhatpratibha87bhat@gmail.comA simultaneous generalization of $\kappa$-normality and weak $\theta$-normality is introduced. Interrelation of this generalization of normality with existing variants of normality is studied.In the process of investigation a new decomposition of normality is obtained.2017-10-02T12:07:29+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/5185An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces2017-10-26T11:33:33+02:00Nguyen Van Dungnguyenvandung2@tdt.edu.vnVo Thi Le Hangvtlhang@dthu.edu.vnDiana Dolicanin-Djekicdiana.dolicanin@pr.ac.rsWe construct a $b$-metric from a given $C^*$-algebra-valued $b$-metric and prove some equivalences between them. Then we show that not only fixed point results but also topological properties on $C^*$-algebra-valued $b$-metric spaces may be deduced from certain results in $b$-metric spaces. In particular, every $C^*$-algebra-valued $b$-metric space is metrizable.2017-10-02T12:07:30+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/5868Oriented components and their separations2017-10-26T11:33:33+02:00Baerbel M R Stadlerbaer@bioinf.uni-leipzig.dePeter F. Stadlerstudla@bioinf.uni-leipzig.de<p>There is a tight connection between connectedness, connected components, and certain types of separation spaces. Recently, axiom systems for oriented connectedness were proposed leading to the notion of reaches. Here, we introduce production relations as a further generalization of connectivity spaces and reaches and derive associated systems of oriented components that generalize connected components in a natural manner. The main result is a characterization of generalized reaches in terms of equivalent separation spaces.<br /><br /></p>2017-10-02T12:07:30+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/6776Existence of common fixed points of improved F-contraction on partial metric spaces2018-01-30T13:46:05+01:00Muhammad Nazamnazim.phdma47@iiu.edu.pkMuhammad Arshadmarshadzia@iiu.edu.pkMujahid Abbasabbas.mujahid@gmail.comFollowing 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.2017-10-02T12:07:30+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/6797Generalized open sets in grill N-topology2017-10-26T11:33:33+02:00M. Lellis Thivagarmlthivagar@yahoo.co.inIvan L Reillyi.reilly@auckland.ac.nzM. Arockia Dasandassfredy@gmail.comV. Rameshkabilanchelian@gmail.comThe 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.2017-10-02T12:07:31+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/7048Quasi-uniform convergence topologies on function spaces- Revisited2017-10-26T11:33:33+02:00Wafa Khalaf Alqurashwafa-math@hotmail.comLiaqat Ali Khanlkhan@kau.edu.saLet 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.2017-10-02T12:07:31+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/7067Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance2017-10-26T11:33:33+02:00Mitrofan M Chobanmmchoban@gmail.comVasile Berindevberinde@cunbm.utcluj.ro<p>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.</p>2017-10-02T12:07:31+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/7149A study of function space topologies for multifunctions2017-10-26T11:33:33+02:00Ankit Guptaankitsince1988@yahoo.co.inRatna Dev Sarmaratna_sarma@yahoo.com<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span>Function space topologies are investigated for the class of continuous multifunctions. Using the notion of continuous convergence, splittingness and admissibility are discussed for the topologies on continuous multifunctions. The theory of net of sets is further developed for this purpose. The (</span><span>τ,μ</span><span>)-topology on the class of continuous multifunctions is found to be upper admissible, while the compact-open topology is upper splitting. The point-open topology is the coarsest topology which is coordinately admissible, it is also the finest topology which is coordinately splitting. </span></p></div></div></div>2017-10-02T12:07:32+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/7257Convergence theorems for finding the split common null point in Banach spaces2017-10-26T11:33:33+02:00Suthep Suantaisuthep.s@cmu.ac.thKittipong Srisapprasitch2008@yahoo.comNatthapong Naprangprasitch2008@yahoo.comManatsawin Mamatprasitch2008@yahoo.comVithoon Yundonprasitch2008@yahoo.comPrasit Cholamjiakprasitch2008@yahoo.com<p>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.</p>2017-10-02T12:07:32+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/7263Uniform reconstruction of continuous functions with the RAFU method2017-10-26T11:33:33+02:00Eduardo Corbacho Cortésecorbachoc@gmail.com<pre><span>The</span> <span>RAFU</span> (radical <span>functions</span>) <span>method</span> can be <span>used</span> to <span>obtain</span> <span>the</span> uniform</pre><pre><span>reconstruction</span> <span>of</span> a <span>continuous</span> function from <span>its</span> <span>values</span> <span>at</span> <span>some</span> <span>of</span></pre><pre><span>the</span> <span>points</span> <span>of</span> <span>partitions</span> <span>of</span> a <span>closed</span> <span>interval</span>. In this <span>work</span> <span>we</span> <span>will</span></pre><pre><span>prove</span> <span>that</span> <span>we</span> can <span>reconstruct</span> a <span>continuous</span> function from <span>average</span> <span>samples</span></pre><pre><span>of</span> <span>these</span> <span>points</span>, from linear <span>combinations</span> <span>of</span> <span>them</span> and from local <span>average</span></pre><pre><span>samples</span> <span>given</span> <span>by</span> <span>convolution</span>. Uniform error <span>bounds will be </span><span>established</span>. <span>If</span> <span>these</span> data are unknown <span>but</span> <span>approximate</span> <span>values</span> <span>of</span> <span>them</span> are known, uniform <span>reconstruction</span> <span>will</span> be also <span>possible</span>. Error <span>estimates</span> in these cases will be given. <span>The</span> case <span>of</span> a non-uniform <span>net</span> <span>will</span> be <span>treated</span>. <span>Examples</span> and <span>algorithms</span> <span>will</span> be also <span>shown</span>.</pre>2017-10-02T12:07:32+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/7452Some fixed point theorems on non-convex sets2017-10-26T11:33:33+02:00Mohanasundaram Radhakrishnanradhariasm@gmail.comS. Rajeshsrajeshiitmdt@gmail.comSushama Agrawalsushamamdu@gmail.com<span style="color: #000000;">In this paper, we prove that if </span><span style="color: #008000;">$K$</span><span style="color: #000000;"> is a </span><span style="text-decoration: underline; color: #000000;">nonempty</span><span style="color: #000000;"> weakly compact set in a </span><span style="text-decoration: underline; color: #000000;">Banach</span><span style="color: #000000;"> space </span><span style="color: #008000;">$X$</span><span style="color: #000000;">, </span><span style="color: #008000;">$T:K\to K$</span><span style="color: #000000;"> is a </span><span style="text-decoration: underline; color: #000000;">nonexpansive</span><span style="color: #000000;"> map satisfying </span><span style="color: #008000;">$\frac{x+Tx}{2}\in K$</span><span style="color: #000000;"> for all </span><span style="color: #008000;">$x\in K$</span><span style="color: #000000;"> and if </span><span style="color: #008000;">$X$</span><span style="color: #000000;"> is </span><span style="color: #008000;">$3-$</span><span style="color: #000000;">uniformly convex or </span><span style="color: #008000;">$X$</span><span style="color: #000000;"> has the </span><span style="text-decoration: underline; color: #000000;">Opial</span><span style="color: #000000;"> property, then </span><span style="color: #008000;">$T$</span><span style="color: #000000;"> has a fixed point in </span><span style="color: #008000;">$K.$ <br /></span>2017-10-02T12:07:33+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/7673Generalized c-distance on cone b-metric spaces endowed with a graph and fixed point results2017-10-26T11:33:33+02:00Kamal Fallahifallahi1361@gmail.comMujahid Abbasabbas.mujahid@gmail.comGhasem Soleimani Radgha.soleimani.sci@iauctb.ac.ir<p>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.</p>2017-10-02T12:07:33+02:00Copyright (c) 2017 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/7798Generalized Normal Product Adjacency in Digital Topology2017-10-26T11:33:33+02:00Laurence Boxerboxer@niagara.eduWe study properties of Cartesian products of digital images for which<br />adjacencies based on the normal product adjacency are used. We show<br />that the use of such adjacencies lets us obtain many "product properties"<br />for which the analogous statement is either unknown or invalid if, instead,<br />we were to use c_u-adjacencies.2017-10-02T12:07:33+02:00Copyright (c) 2017 Applied General Topology