Results 1 to 10 of about 8,426 (194)

Probabilistic b-metric spaces and nonlinear contractions [PDF]

Fixed Point Theory and Applications, 2017
This work is for giving the probabilistic aspect to the known b-metric spaces (Czerwik in Atti Semin. Mat. Fis. Univ. Modena 46(2):263-276, 1998), which leads to studying the fixed point property for nonlinear contractions in this new class of spaces.
Abderrahim Mbarki, Rachid Oubrahim
doaj   +5 more sources

Probabilistic Generalized Metric Spaces and Nonlinear Contractions

Demonstratio Mathematica, 2016
We give a probabilistic generalization of the theory of generalized metric spaces [2]. Then, we prove a fixed point theorem for a self-mapping of a probabilistic generalized metric space, satisfying the very general nonlinear contraction condition ...
Mbarki Abderrahim, Naciri Rachid
doaj   +4 more sources

Almost Nonlinear Contractions under Locally Finitely Transitive Relations with Applications to Integral Equations

Mathematics, 2023
This article consists of some new fixed point theorems verifying relation-theoretic strict almost nonlinear contractions that are preserved by a locally finitely transitive relation. Our results improve certain well-known results in the literature.
Faizan Ahmad Khan, Musaad S. Aldhabani, Ahmed Alamer, Esmail Alshaban, Fahad M. Alamrani, Hamid I. A. Mohammed   +5 more
doaj   +4 more sources

φ-fixed point results for nonlinear contractions with an application

Journal of Inequalities and Applications, 2023
In this paper, using the notion of w-distance in metric spaces, we introduce two types of nonlinear contractions, ( ι , ψ , φ , ϕ , p ) $(\iota ,\psi ,\varphi ,\phi ,p)$ and rational- ( ι , ψ , φ , ϕ , p ) $(\iota ,\psi , \varphi ,\phi ,p)$ contractions.
Ju Hu, Xiao-lan Liu, Yan Sun, Jia Deng, Huan Zhang   +4 more
doaj   +2 more sources

On Generalized Sehgal–Guseman-Like Contractions and Their Fixed-Point Results with Applications to Nonlinear Fractional Differential Equations and Boundary Value Problems for Homogeneous Transverse Bars

Mathematics
The goal of this study is to describe the class of modified Sehgal–Guseman-like contraction mappings and set up some fixed-point results in S-metric spaces. The class of generalized Sehgal–Guseman-like contraction mappings contains enhancements of Banach
Muhammad Din, Umar Ishtiaq, Muzammil Mukhtar, Salvatore Sessa, Hassan Ali Ghazwani   +4 more
doaj   +3 more sources

On combinational contractions with applications [PDF]

Heliyon
The aim of this paper is to provide a new hybrid contraction that is a combination of Jaggi, Meir-Keeler and Zamfirescu-type contractions in the framework of a complete metric space.
Mohammed Shehu Shagari, Manzuma Mustapha, Hala H. Taha, Sarah Aljohani, Nabil Mlaiki   +4 more
doaj   +2 more sources

Coincidence and fixed points of nonlinear Hybrid contractions [PDF]

International Journal of Mathematics and Mathematical Sciences, 1989
In this Der, we show the existence of solutions of functional equations fx∈sx∩tx and x=fx∈sx∩Tx under certain contraction and asymptotic regularity conditions, where f, S and T are single-valued and multl-valued mappings on a metric space, respectively ...
Shyam Lal Singh, Ki Sik Ha, Yeol Je Cho
doaj   +2 more sources

A Solution for Volterra Fractional Integral Equations by Hybrid Contractions

Mathematics, 2019
In this manuscript, we propose a solution for Volterra type fractional integral equations by using a hybrid type contraction that unifies both nonlinear and linear type inequalities in the context of metric spaces.
Badr Alqahtani, Hassen Aydi, Erdal Karapınar, Vladimir Rakočević   +3 more
doaj   +3 more sources

On new generalized θ b $\theta _{b}$ -contractions and related fixed point theorems

Journal of Inequalities and Applications, 2022
The manuscript is an extension of the investigations concerning θ-contractions which have been newly proposed in (Jleli and Samet in J. Inequal. Appl. 2014:38, 2014).
Amjad Ali, Muhammad Arshad, Aftab Hussain, Nawab Hussain, Saud Mastour Alsulami   +4 more
doaj   +1 more source

On φ-contractions and fixed point results in fuzzy metric spaces

Applied General Topology, 2023
In this paper, φ-contractions are defined and then, some new fixed point theorems are established for certain nonlinear mappings associated with one-dimensional (c)-comparison functions in fuzzy metric spaces. Next, generalized φ-contractions are defined
Morteza Saheli, Seyed Ali Mohammad Mohsenialhosseini, Hadi Saeidi Goraghani   +2 more
doaj   +1 more source