Browsing by Subject "Fixed point"

A characterizations of quasi-metric completeness

Dag, Hacer; Romaguera, Salvador; Tirado, Pedro (Editorial Universitat Politècnica de València, 2017-10-23)

[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 ...

A fixed point theorem for generalized contractions involving w-distances on complete quasi-metric spaces

Alegre Gil, Maria Carmen; Marín Molina, Josefa; Romaguera Bonilla, Salvador (SpringerOpen, 2014-02)

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 ...

A fixed point theorem for preordered complete fuzzy quasi-metric spaces and an application

Castro Company, Francisco; Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (SpringerOpen, 2014-03)

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 ...

A local fixed point theorem for set-valued mappings on partial metric spaces

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.

A new model based on a fuzzy quasi-metric type Baire applied to analysis of complexity

Tirado Peláez, Pedro (IOS Press, 2014)

[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 ...

A note on a fixed point theorem for ray oriented maps

Arockiasamy, A.; Eldred, Anthony (Universitat Politècnica de València, 2008-10-01)

[EN] In this paper, we will prove a fixed point theorem for a ray-oriented map defined on a nonempty closed bounded convex subset of a Banach space.

A note on phi-contractions in probabilistic and fuzzy metric spaces

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 ...

An equivalence of results in C*-algebra valued b-metric and b-metric spaces

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 ...

Best proximity pair theorems for relatively nonexpansive mappings

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 ...

Best proximity points of contractive mappings on a metric space with a graph and applications

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 ...

Caristi's type mappings on complete partial metric spaces

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 ...

Characterizations of quasi-metric completeness in terms of Kannan-type fixed point theorems

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 ...

Complex dynamics of derivative-free methods for nonlinear equations

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. ...

Contraction mappings in fuzzy quasi-metric spaces and [0,1]-fuzzy posets

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 ...

Contractive definitions and discontinuity at fixed point

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 ...

Contractive multivalued maps in terms of Q-functions on complete quasimetric spaces

Karapinar, Erdal; Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (SpringerOpen, 2014-02)

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. ...

Digital fixed points, approximate fixed points, and universal functions

Boxer, Laurence; Ege, Ozgur; Karaca, Ismet; Lopez, Jonathan; Louwsma, Joel (Universitat Politècnica de València, 2016-10-03)

[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 ...

Fixed point results concerning α-F-contraction mappings in metric spaces

Dey, Lakshmi Kanta; Kumam, Poom; Senapati, Tanusri (Universitat Politècnica de València, 2019-04-01)

[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 ...

Fixed point results for generalized cyclic contraction mappings in partial metric spaces

Abbas, Mujahid; Nazir, T.; Romaguera Bonilla, Salvador (Springer Verlag (Germany), 2012-09)

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 ...

Fixed point theorems for cyclic self-maps involving weaker Meir-Keelerfunctions in complete metric spaces and applications

Nashine, Hemant Kumar; Romaguera Bonilla, Salvador (SpringerOpen, 2013)

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 ...

Browsing by Subject "Fixed point"

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Browsing by Subject "Fixed point"