[EN] In this paper we consider a kind of Geraghty contractions by using mw-distances in the setting of complete quasi-metric spaces. We provide fixed point theorems for this type of mappings and illustrate with some examples ...
Sultana, Asrifa; Vetrivel, V.(Universitat Politècnica de València, 2017-04-03)
[EN] We establish an existence and uniqueness theorem on best proximity point for contractive mappings on a metric space endowed with a graph. As an application of this theorem, we obtain a result on the existence of unique ...
[EN] We study extension theorems for Lipschitz-type operators acting on metric spaces and with values on spaces of integrable functions. Pointwise domination is not a natural feature of such spaces, and so almost everywhere ...
[EN] In this paper, we introduce the notions of generalized α-F-contraction and modified generalized α-F-contraction. Then, we present sufficient conditions for existence and uniqueness of fixed points for the above kind ...
A sufficient condition for the existence and uniqueness of fixed point for a new variant of cyclic contractive mapping, named as weakly cyclic contractive mappings, involving a generalized altering distance function in ...
Edraoui, Mohamed; El koufi, Amine; Semami, Soukaina(Universitat Politècnica de València, 2023-10-02)
[EN] In this paper, we introduce four new types of contractions called in this order Kannan-type cyclic contraction via interpolation, interpolative Ćirić-Reich-Rus type cyclic contraction, and we prove the existence and ...
Dost, Senol(Universitat Politècnica de València, 2017-04-03)
[EN] Textures are point-set setting for fuzzy sets, and they provide a framework for the complement-free mathematical concepts. Further dimetric on textures is a gener- alization of classical metric spaces. The aim of this ...
[EN] We prove a factorization theorem for Lipschitz operators acting on certain subsets of metric spaces of measurable functions and with values on general metric spaces. Our results show how a Lipschitz operator can be ...
[EN] In an outstanding article published in 2008, Suzuki obtained a nice generalization of the Banach contraction principle, from which a characterization of metric completeness was derived. Although Suzuki's theorem has ...
Boxer, Laurence; Staecker, P. Christopher(Universitat Politècnica de València, 2019-04-01)
[EN] Several recent papers in digital topology have sought to obtain fixed point results by mimicking the use of tools from classical topology, such as complete metric spaces and homotopy invariant fixed point theory. We ...
Boxer, Laurence(Universitat Politècnica de València, 2019-04-01)
[EN] Several recent papers in digital topology have sought to obtain fixed point results by mimicking the use of tools from classical topology, such as complete metric spaces. We show that in many cases, researchers using ...
Boxer, Laurence(Universitat Politècnica de València, 2019-10-01)
[EN] We continue the work of [5] and [3], in which are considered papers in the literature that discuss fixed point assertions in digital topology. We discuss published assertions that are incorrect or incorrectly proven; ...
Boxer, Laurence(Universitat Politècnica de València, 2020-10-01)
[EN] We 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.
Boxer, Laurence(Universitat Politècnica de València, 2022-10-03)
[EN] As in [6, 3, 4, 5], we discuss published assertions concerning fixed points in digital metric spaces - assertions that are incorrect or incorrectly proven, or reduce to triviality.
Arnau-Notari, Andres Roger; Calabuig, J. M.; Sánchez Pérez, Enrique Alfonso(MDPI AG, 2022-10)
[EN] Here, we prove some general results that allow us to ensure that specific representations (as well as extensions) of certain Lipschitz operators exist, provided we have some additional information about the underlying ...
[EN] University rankings are now relevant decision-making tools for both institutional and private purposes in the management of higher education and research. However, they are often computed only for a small set of ...
Fujita, Hiroshi; Shakhmatov, Dimitri(Universitat Politècnica de València, 2002-04-01)
[EN] A topological group G is: (i) compactly generated if it contains a compact subset algebraically generating G, (ii) -compact if G is a union of countably many compact subsets, (iii) 0-bounded if arbitrary neighborhood ...
[EN] The purpose of this paper is two fold. Firstly, using the notion of weak reciprocal continuity due to Pant et al. Weak reciprocal continuity and fixed point theorems, Ann. Univ. Ferrara Sez. VII Sci. Mat. 57(1), 181-190 ...