[EN] Hu proved in [4] that a metric space (X, d) is complete if and only if for
any closed subspace C of (X, d), every Banach contraction on C has
fixed point. Since then several authors have investigated the problem
of ...
We obtain a fixed point theorem for generalized contractions on complete
quasi-metric spaces, which involves w-distances and functions of Meir-Keeler and Jachymski type. Our result generalizes in various directions the ...
We obtain a fixed point theorem for a type of generalized contractions on preordered complete fuzzy quasi-metric spaces which is applied to deduce, among other results, a procedure to show in a direct and easy fashion the ...
Benterki, Abdessalem(Universitat Politècnica de València, 2016-04-12)
[EN] The purpose of this paper is to study the existence and location of fixed points for pseudo-contractive-type set-valued mappings in the setting of partial metric spaces by using Bianchini-Grundolfi gauge functions.
[EN] We analyze the complexity of an expoDC algorithm by deducing the existence of solution for the recurrence inequation associated to this algorithm by means of techniques of Denotational Semantics in the context of fuzzy ...
Alegre Gil, Maria Carmen; Romaguera Bonilla, Salvador(Elsevier, 2017)
[EN] In a recent paper Fang (2015) [1], J.X. Fang generalized a crucial fixed point theorem for probabilistic ϕ-contractions on com-plete Menger spaces due to Jachymski (2010) [3]. In this note we show that actually ...
Dung, Nguyen Van; Le Hang, Vo Thi; Dolicanin-Djekic, Diana(Universitat Politècnica de València, 2017-10-02)
[EN] In this paper, we first construct ab-metric, which is a special type ofC∗-algebra-valuedb-metrics, from a givenC∗-algebra-valuedb-metricand prove some equivalences between them. Then we show that notonly fixed point ...
Sankar Raj, V.; Veeramani, P.(Universitat Politècnica de València, 2009-04-01)
[EN] Let A, B be nonempty closed bounded convex subsets of a uniformly convex Banach space and T : A∪B → A∪B be a map such that T(A) ⊆ B, T(B) ⊆ A and ǁTx − Tyǁ ≤ ǁx − yǁ, for x in A and y in B. The fixed point equation ...
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 ...
ACAR, ÖZLEM; Altun, Ishak; Romaguera Bonilla, Salvador("Babeş-Bolyai" University of Cluj-Napoca, 2013)
[EN] We introduce a new type of Caristi's mapping on partial metric spaces and show that a partial metric space is complete if and only if every Caristi mapping has a fixed point. From this result we deduce a characterization ...
Alegre Gil, Maria Carmen; Dag, Hacer; Romaguera Bonilla, Salvador; Tirado Peláez, Pedro(Hacettepe Journal of Mathematics and Statistics, 2017)
[EN] We obtain quasi-metric versions of Kannan's fixed point theorem for self-mappings and multivalued mappings, respectively, which are used to deduce characterizations of d-sequentially complete and of left K sequentially ...
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 ...
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] 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 ...
[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 ...
Rus (Approx. Convexity 3:171–178, 2005) introduced the concept of cyclic contraction
mapping. P˘acurar and Rus (Nonlinear Anal. 72:1181–1187, 2010) proved some fixed
point results for cyclic φ-contraction mappings on a ...
We obtain fixed point theorems for cyclic self-maps on complete metric spaces
involving Meir-Keeler and weaker Meir-Keeler functions, respectively. In this way, we
extend several well-known fixed point theorems and, in ...