[EN] With the help of C-contractions having a fixed point, we obtain a characterization of complete fuzzy metric spaces, in the sense of Kramosil and Michalek, that extends the classical theorem of H. Hu (see "Am. Math. ...
[EN] In this article we study a class of Euler equations of compressible fluid dynamics. We give conditions under which the considered equations have at least one and at least two classical solutions. To prove our main ...
[EN] In this paper, we obtain two common fixed point results for mappings satisfying the generalized (ψ,φ)-contractive type conditions given by a rational expression on a complete metric space. Our results generalize ...
Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Gutiérrez, José M.; Torregrosa Sánchez, Juan Ramón(Elsevier, 2013-02-15)
The dynamical behavior of two iterative derivative-free schemes, Steffensen and M4 methods, is studied in case of quadratic and cubic polynomials. The parameter plane is analyzed for both procedures on quadratic polynomials. ...
Tirado Peláez, Pedro("Babeş-Bolyai" University of Cluj-Napoca, 2012)
[EN] It is well known that each bounded ultraquasi-metric on a set induces, in a natural way, an [0,1]-fuzzy poset. On the other hand, each [0,1]-fuzzy poset can be seen as a stationary fuzzy ultraquasi-metric space for ...
[EN] We characterize the completeness of fuzzy quasi-metric spaces by means of a fixed point theorem of Kannan-type.
Thus, we extend the classical characterization of metric completeness due to Subrahmanyam as well as ...
Bisht, Ravindra K.; Pant, R. P.(Universitat Politècnica de València, 2017-04-03)
[EN] In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point that do not force the mapping to be continuous at the fixed point. Finally, we obtain a fixed point theorem ...
In this paper we prove the existence of a fixed point for multivalued maps satisfying a contraction condition in terms of Q-functions, and via Bianchini-Grandolfi gauge functions, for complete T-0-quasipseudometric spaces. ...
[EN] In this paper we present an example of a fuzzy psi-contractive sequence in the sense of D. Mihet, which is not Cauchy in a fuzzy metric space in the sense of George and Veeramani. To overcome this drawback we introduce ...
Lael, Fatemeh; Shabanian, Samira(Universitat Politècnica de València, 2021-04-01)
[EN] Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead ...
Lakzian, Hosein; Kocev, Darko; Rakočević, Vladimir(Universitat Politècnica de València, 2023-10-02)
[EN] In this present paper, besides other things, we introduce the concept of Ćirić-generalized contractions via wt−distance and then we will prove some new fixed point results for these mappings, which generalize and ...
[EN] A. Rosenfeld introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous to those of the Euclidean spaces ...
Bisht, Ravindra K.; Rakocevic, Vladimir(Universitat Politècnica de València, 2020-10-01)
[EN] 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 ...
Garg, Medha; Chandok, Sumit(Universitat Politècnica de València, 2020-04-03)
[EN] In this paper, we define weak θm− contraction mappings and give a new class of Picard operators for such class of mappings on a complete metric space. Also, we obtain some new results on the existence and uniqueness ...
Boxer, Laurence; Staecker, P. Christopher(Universitat Politècnica de València, 2020-04-03)
[EN] In this paper, we examine some properties of the fixed point set of a
digitally continuous function. The digital setting requires new methods that are not analogous to those of classical topological fixed point
theory, ...
Bisht, Ravindra K.; Singh, Jay(Universitat Politècnica de València, 2024-04-02)
[EN] In this paper, we introduce a generalization of the concept of MR-Kannan type contractions and utilize this condition to derive new fixed point theorems under both contractive and non-contractive conditions. Our ...
Gautam, Pragati; Sánchez Ruiz, Luis Manuel; Verma, Swapnil(MDPI AG, 2021-01)
[EN] The purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of metric spaces, by including a ...
Barbero García, Inés(Universitat Politècnica de València, 2017-02-08)
[EN] Assessing and monitoring river areas is necessary to support river management
and restoration processes. As rivers change over short periods of time
assessment methods need to be quick, reliable and cost/time-effective. ...
Peters, James Francis; Vergili, Tane(Universitat Politècnica de València, 2021-10-01)
[EN] This article introduces free group representations of planar vortexes in a CW space that are a natural outcome of results for amenable groups and fixed points found by M.M. Day during the 1960s and a fundamental result ...
[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 ...