https://polipapers.upv.es/index.php/AGT/issue/feedApplied General Topology2020-10-02T09:47:26+02:00Applied 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/10129Structure of symmetry group of some composite links and some applications2020-10-02T09:29:08+02:00Yang Liulouisyliu2@gmail.com<p>In this paper, we study the symmetry group of a type of composite topological links, such as 2<sup>2</sup>m#2<sup>2</sup> . We have done a complete analysis on the elements of the symmetric group of this link and show the structure of the group. The results can be generalized to the study of the symmetry group of any composite topological link, and therefore it can be used for the classification of composite topological links, which can also be potentially used to identify synthetics molecules.</p><p> </p>2020-10-01T12:25:26+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/11369Fixed points for fuzzy quasi-contractions in fuzzy metric spaces endowed with a graph2020-10-01T13:46:38+02:00Mina Dinarvanddinarvand_mina@yahoo.comIn this paper, we introduce the notion of G-fuzzy H-quasi-contractions using directed graphs in the setting of fuzzy metric spaces endowed with a graph and we show that this new type of contraction generalizes a large number of different types of contractions. Subsequently, we investigate some results concerning the existence of fixed points for this class of contractions under two different conditions in M-complete fuzzy metric spaces endowed with a graph. Our main results of the work significantly generalize many known comparable results in the existing literature. Examples are given to support the usability of our results and to show that they are improvements of some known ones.2020-10-01T12:25:27+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/11903Closure formula for ideals in intermediate rings2020-10-01T14:43:32+02:00John Paul Jala Kharbhihjpkharbhih@gmail.comSanghita Duttasanghita22@gmail.com<p>In this paper, we prove that the closure formula for ideals in C(X) under m topology holds in intermediate ring also, i.e. for any ideal I in an intermediate ring with m topology, its closure is the intersection of all the maximal ideals containing I.</p>2020-10-01T12:25:28+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/12258Closed subsets of compact-like topological spaces2020-10-01T14:45:51+02:00Serhii Bardylasbardyla@yahoo.comAlex Ravskyalexander.ravsky@uni-wuerzburg.de<p>We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open dense subspaces of<br />countably pracompact topological spaces. We construct a pseudocompact topological semigroup which contains the bicyclic monoid as a closed subsemigroup. This example provides an affirmative answer to a question posed by Banakh, Dimitrova, and Gutik in [4]. Also, we show that the semigroup of ω×ω-matrix units cannot be embedded into a Hausdorff topological semigroup whose space is weakly H-closed.</p>2020-10-01T12:25:29+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/12929The class of simple dynamics systems2020-10-01T14:46:21+02:00Kamaludheen Ali Akbaraliakbar.pkd@gmail.com<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p>In this paper, we study the class of simple dynamical systems on R induced by continuous maps having finitely many non-ordinary points. We characterize this class using labeled digraphs and dynamically independent sets. In fact, we classify dynamical systems up to their number of non-ordinary points. In particular, we discuss about the class of continuous maps having unique non-ordinary point, and the class of continuous maps having exactly two non-ordinary points.</p></div></div></div><pre><!--EndFragment--></pre><pre><!--EndFragment--></pre></div></div></div>2020-10-01T12:25:29+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/12967On I-quotient mappings and I-cs'-networks under a maximal ideal2020-10-01T14:47:26+02:00Xiangeng Zhou56667400@qq.com<p>Let I be an ideal on N and f : X → Y be a mapping. f is said to be an I-quotient mapping provided f−1(U) is I-open in X, then U is I-open in Y . P is called an I-cs′-network of X if whenever {xn}n∈N is a sequence I-converging to a point x ∈ U with U open in X, then there is P ∈ P and some n0 ∈ N such that {x, xn0} ⊆ P ⊆ U. In this paper, we introduce the concepts of I-quotient mappings and I-cs′-networks, and study some characterizations of I-quotient mappings and I-cs′- networks, especially J -quotient mappings and J -cs′-networks under a maximal ideal J of N. With those concepts, we obtain that if X is an J -FU space with a point-countable J -cs′-network, then X is a meta-Lindelöf space.</p>2020-10-01T12:25:30+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/13049Topological distances and geometry over the symmetrized Omega algebra2020-10-01T14:49:07+02:00Mesfer Alqahtanimesfer_alqhtani@hotmail.comCenap Özelcenap.ozel@gmail.comHanifa Zekraouihzekraoui421@gmail.comThe aim of this paper is to study some topological distances properties, semidendrites and convexity on th symmetrized omega algebra. Furthermore, some properties and exponents on the symmetrized omega algebra are introduced.2020-10-01T12:25:31+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/13075Remarks on fixed point assertions in digital topology, 42020-10-01T14:49:54+02:00Laurence Boxerboxer@niagara.eduWe continue the work of [4, 2, 3], in which we discuss published assertions that are incorrect or incorrectly proven; that are severely limited or reduce to triviality; or that we improve upon.2020-10-01T12:25:31+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/13126The depth and the attracting centre for a continuous map on a fuzzy metric interval2020-10-01T14:42:49+02:00Taixiang Sunstx1963@163.comLue Lili1982lue@163.comGuangwang Sus1g6w3@163.comCaihong Hanh198204c@163.comGuoen Xiax3009h@163.com<p>Let I be a fuzzy metric interval and f be a continuous map from I to I. Denote by R(f), Ω(f) and ω(x, f) the set of recurrent points of f, the set of non-wandering points of f and the set of ω- limit points of x under f, respectively. Write ω(f) = ∪x∈Iω(x, f), ωn+1(f) = ∪x∈ωn(f)ω(x, f) and Ωn+1(f) = Ω(f|Ωn(f)) for any positive integer n. In this paper, we show that Ω2(f) = R(f) and the depth of f is at most 2, and ω3(f) = ω2(f) and the depth of the attracting centre of f is at most 2.</p>2020-10-01T12:25:31+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/13156Rough action on topological rough groups2020-10-01T15:03:04+02:00Alaa Altassanaaltassan@kau.edu.saNof Alharbinof20081900@hotmail.comHassen Aydihmaydi@iau.edu.saCenap Özelcenap.ozel@gmail.com<p>In this paper we explore the interrelations between rough set theory and group theory. To this end, we first define a topological rough group homomorphism and its kernel. Moreover, we introduce rough action and topological rough group homeomorphisms, providing several examples. Next, we combine these two notions in order to define topological rough homogeneous spaces, discussing results concerning open subsets in topological rough groups.</p>2020-10-01T12:25:32+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/13553The higher topological complexity in digital images2020-10-01T15:24:28+02:00Melih İsmelih.is@ege.edu.trİsmet Karacaismet.karaca@ege.edu.trY. Rudyak develops the concept of the topological complexity TC(X) defined by M. Farber. We study this notion in digital images by using the fundamental properties of the digital homotopy. These properties can also be useful for the future works in some applications of algebraic topology besides topological robotics. Moreover, we show that the cohomological lower bounds for the digital topological complexity TC(X,κ) do not hold.2020-10-01T12:25:32+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/13836A disjointly tight irresolvable space2020-10-02T09:18:56+02:00Angelo Bellabella@dmi.unict.itMichael Hrusakmichael@matmor.unam.mx<p>In this short note we prove the existence (in ZFC) of a completely regular countable disjointly tight irresolvable space by showing that every sub-maximal countable dense subset of 2c is disjointly tight.</p>2020-10-01T12:25:33+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/13926Weak proximal normal structure and coincidence quasi-best proximity points2020-10-02T09:27:10+02:00Farhad Fouladifa_folade@yahoo.comAli Abkarabkar@sci.ikiu.ac.irErdal Karapinarerdalkarapinar@gmail.comWe introduce the notion of pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. We study the best proximity point problem for this class of mappings. We also study the same problem for the class of pointwise noncyclic-noncyclic relatively nonexpansive pairs involving orbits. Finally, under the assumption of weak proximal normal structure, we prove a coincidence quasi-best proximity point theorem for pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. Examples are provided to illustrate the observed results.2020-10-01T12:25:33+02:00Copyright (c) 2020 Applied General Topologyhttps://polipapers.upv.es/index.php/AGT/article/view/13943Discontinuity at fixed point and metric completeness2020-10-02T09:47:26+02:00Ravindra K. Bishtravindra.bisht@yahoo.comVladimir Rakocevicvrakoc@sbb.rs<p>In this paper, we prove some new fixed point theorems for a generalized class of Meir-Keeler type mappings, which give some new solutions to the Rhoades open problem regarding the existence of contractive mappings that admit discontinuity at the fixed point. In addition to it, we prove that our theorems characterize completeness of the metric space as well as Cantor's intersection property.</p>2020-10-01T12:25:33+02:00Copyright (c) 2020 Applied General Topology