Výsledky vyhledávání - "Lazaiz Samih"

Akademický článek

On best proximity point theorems for relatively nonexpansive mappings in locally convex spaces

Autor: Saadaoui Brahim, Harmouchi Nour-Eddine El, Mouline Jamal, Lazaiz Samih

Publikováno v: Moroccan Journal of Pure and Applied Analysis, Vol 9, Iss 3, Pp 339-353 (2023)

This paper explores the concept of normal structure by introducing a generalized form known as P-proximal normal structure. Focusing on the framework of Hausdorff locally convex spaces, the study establishes optimal proximity outcomes for both cyclic

Externí odkaz: https://doaj.org/article/dcd8633a73104216813517ed17b02c5a

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Akademický článek

A look at nonexpansive mappings in non-Archimedean vector spaces

Autor: Lazaiz Samih

Publikováno v: Moroccan Journal of Pure and Applied Analysis, Vol 7, Iss 1, Pp 173-181 (2021)

In a spherically complete ultrametric space every nonexpansive self-mapping T has a fixed point ̄x or a minimal invariant ball B(̄x, d(̄x, T(̄x)). We show how we can approximate this fixed center ̄x in a non-Archimedean vector space. And, we giv

Externí odkaz: https://doaj.org/article/940d7a9417924321925d1227699d1c3e

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Akademický článek

Relatively Cyclic and Noncyclic P-Contractions in Locally K-Convex Space

Autor: Edraoui Mohamed, Aamri Mohamed, Lazaiz Samih

Publikováno v: Axioms, Vol 8, Iss 3, p 96 (2019)

Our main goal of this research is to present the theory of points for relatively cyclic and relatively relatively noncyclic p-contractions in complete locally K -convex spaces by providing basic conditions to ensure the existence and uniqueness of fi

Externí odkaz: https://doaj.org/article/286c432f0afd47b686e0ed57f7524928

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Bipartite graphs and best proximity pairs

Autor: Chaira, Karim, Dovgoshey, Oleksiy, Lazaiz, Samih

We say that a bipartite graph $G(A, B)$ with fixed parts $A$, $B$ is proximinal if there is a semimetric space $(X, d)$ such that $A$ and $B$ are disjoint proximinal subsets of $X$ and all edges $\{a, b\}$ satisfy the equality $d(a, b) = \operatornam

Externí odkaz: http://arxiv.org/abs/2111.07289

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Best proximity points in ultrametric spaces

Autor: Chaira, Karim, Lazaiz, Samih

In the present paper, we study the existence of best proximity pair in ultrametric spaces. We show, under suitable assumptions, that the proximinal pair $(A,B)$ has a best proximity pair. As a consequence we generalize a well known best approximation

Externí odkaz: http://arxiv.org/abs/2104.06748

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On Caristi fixed point theorem for set-valued mappings

Autor: Chaira, Karim, Chaira, Soumia, Lazaiz, Samih

The aim of this paper is to discuss Penot's problem on a generalization of Caristi's fixed point theorem. We settle this problem in the negative and we present some new theorems on the existence of fixed points of set-valued mappings in ordered metri

Externí odkaz: http://arxiv.org/abs/2011.02476

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