Results 21 to 30 of about 1,050,506 (284)

A Relation-Theoretic Formulation of Browder–Göhde Fixed Point Theorem

Axioms, 2021
In this paper, we introduce the concept of R-nonexpansive self-mappings defined on a suitable subset K of a Banach space, wherein R stands for a transitive binary relation on K, and utilize the same to prove a relation-theoretic variant of classical ...
Aftab Alam, Mohammad Imdad, Mohammad Asim, Salvatore Sessa   +3 more
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Fixed Point Theorems for Nonexpansive Mappings under Binary Relations

Mathematics, 2021
In the present article, we establish relation-theoretic fixed point theorems in a Banach space, satisfying the Opial condition, using the R-Krasnoselskii sequence. We observe that graphical versions (Fixed Point Theory Appl.
Aftab Alam, Reny George, Mohammad Imdad, Md Hasanuzzaman   +3 more
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Common Fixed Point Results for Almost ℛ_g-Geraghty Type Contraction Mappings in b₂-Metric Spaces with an Application to Integral Equations

Axioms, 2021
In this paper, we define almost Rg-Geraghty type contractions and utilize the same to establish some coincidence and common fixed point results in the setting of b2-metric spaces endowed with binary relations. As consequences of our newly proved results,
Samera M. Saleh, Salvatore Sessa, Waleed M. Alfaqih, Fawzia Shaddad   +3 more
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Fixed Point Results via $\mathcal{G}$-Transitive Binary Relation and Fuzzy $\mathcal{L}$-$\mathcal{R}$-Contraction

Mathematics, 2023
In this study, we initiate the concept of fuzzy L-R-contraction and establish some fixed point results involving a G-transitive binary relation and fuzzy L-simulation functions, by employing suitable hypotheses on a fuzzy metric space endowed with a ...
Abdelhamid Moussaoui, Vesna Todorčević, Mirjana Pantović, Stojan Radenović, Said Melliani   +4 more
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On (Λ,Υ,ℜ)-Contractions and Applications to Nonlinear Matrix Equations

Mathematics, 2019
In this paper, we study the behavior of Λ , Υ , ℜ -contraction mappings under the effect of comparison functions and an arbitrary binary relation. We establish related common fixed point theorems.
Eskandar Ameer, Muhammad Nazam, Hassen Aydi, Muhammad Arshad, Nabil Mlaiki   +4 more
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Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings

Moroccan Journal of Pure and Applied Analysis, 2018
The purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the ...
Khamsi Mohamed Amine
doaj   +1 more source

Relation Theoretic Common Fixed Point Results for Generalized Weak Nonlinear Contractions with an Application

Axioms, 2019
In this paper, by introducing the concept of generalized Ćirić-type weak ( ϕ g , R ) -contraction, we prove some common fixed point results in partial metric spaces endowed with binary relation R .
Atiya Perveen, Idrees A. Khan, Mohammad Imdad   +2 more
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THE RESEARCH OF THE POLLUTION OF SPRINGS IN THE CITY OF STAVROPOL BY THE METHOD OF FACTOR ANALYSIS

Наука. Инновации. Технологии, 2022
The researches of pollution of six springs in Stavropol were made according to thirteen kinds of contamination by factor analysis. Analysis of samples was carried out on the basis of Scientific-Educational Laboratory «Ecoanalytical Laboratory of ...
Inna Vladimirovna Begday, Elena Vasilievna Bondar, Natalya Evgenyevna Perekopskaya   +2 more
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Coupled fixed point sets with data-dependence and stability [PDF]

Surveys in Mathematics and its Applications, 2022
In this paper we establish a coupled fixed point theorem of a coupled multivalued mapping defined on a complete metric space. In our result we use a new contractive inequality. There are rational terms in the expression of the inequality. The contractive
Binayak S. Choudhury, Nikhilesh Metiya, Sunirmal Kundu   +2 more
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Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation

Mathematics, 2023
The purpose of this article is to discuss some new aspects of the vector-valued metric space. The idea of an arbitrary binary relation along with the well-known F contraction is used to demonstrate the existence of fixed points in the context of a ...
Fahim Ud Din, Muhammad Din, Umar Ishtiaq, Salvatore Sessa   +3 more
doaj   +1 more source