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Listar por palabra clave "Fixed point"

Mostrando ítems 1-20 de 99

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A Banach contraction principle in fuzzy metric spaces defined by means of t-conorms

Gregori Gregori, Valentín; Miñana, Juan-José (Springer-Verlag, 2021-07)

[EN] Fixed point theory in fuzzy metric spaces has grown to become an intensive field of research. The difficulty of demonstrating a fixed point theorem in such kind of spaces makes the authors to demand extra conditions ...
A Caristi fixed point theorem for complete quasi-metric spaces by using mw-distances

Alegre Gil, Maria Carmen; Marín Molina, Josefa (Babes-Bolyai University, 2018-02-01)

[EN] In this paper we give a quasi-metric version of Caristi's fixed point theorem by using mw-distances. Our theorem generalizes a recent result obtained by Karapinar and Romaguera in [7]
A Characterization of Quasi-Metric Completeness in Terms of alpha-psi-Mappings Having Fixed Points

Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (MDPI AG, 2020-01)

[EN] We obtain a characterization of Hausdorff left K-complete quasi-metric spaces by means of alpha-psi-contractive mappings, from which we deduce the somewhat surprising fact that one the main fixed point theorems of ...
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 Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces

Alegre Gil, Maria Carmen; Fulga, Andreea; Karapinar, Erdal; Tirado Peláez, Pedro (MDPI AG, 2020-09)

[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 ...
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 phi-contractions on complete Menger spaces due to Jachymski (2010) [3]. In this note we show that actually Fang ...
A note on the fixed point theorem of F-contraction mappings in rectangular M-metric space

Abbas, Mujahid; Anjum, Rizwan; Anwar, Rabia (Universitat Politècnica de València, 2023-10-02)

[EN] In this note, we show that the main result (Theorem 3.2) due to Asim et al. (Appl. Gen. Topol., 23(2), 363-376 (2022) https://doi.org/10.4995/agt.2022.17418) is still valid if we remove the assumption of continuity ...
An Application of wt-Distances to Characterize Complete b-Metric Spaces

Romaguera Bonilla, Salvador (MDPI AG, 2023-02)

[EN] The notion of wt-distance, introduced by Hussain et al. provides a natural generalization to the b-metric framework of the well-known and fruitful concept of w-distance, initiated by Kada et al. Since then, several ...
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 ...
Basic Contractions of Suzuki-Type on Quasi-Metric Spaces and Fixed Point Results

Romaguera Bonilla, Salvador (MDPI AG, 2022-11)

[EN] This paper deals with the question of achieving a suitable extension of the notion of Suzuki-type contraction to the framework of quasi-metric spaces, which allows us to obtain reasonable fixed point theorems in the ...
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 ...
C*-algebra valued quasi metric spaces and fixed point results with an application

Asim, Mohammad; Kumar, Santosh; Imdad, Mohammad; George, Reny (Universitat Politècnica de València, 2022-10-03)

[EN] In this paper, we introduce the notion of C*-algebra valued quasi metric space to generalize the notion of C*-algebra valued metric space and investigate the topological properties besides proving some core fixed point ...
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 and G-metric completeness involving w-distances and fixed points

Karapinar, Erdal; Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (De Gruyter Open, 2022-12-13)

[EN] Involving w-distances we prove a fixed point theorem of Caristi-type in the realm of (non -necessarily T-1) quasi-metric spaces. With the help of this result, a characterization of quasi-metric completeness is obtained. ...