Results 51 to 60 of about 5,700 (185)
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani +4 more
wiley +1 more source
A new result on Branciari metric space using (α, γ)-contractive mappings
Topological Algebra and its Applications, 2022 In this work, a new common fixed point result by generalized contractive functions fulfilling the type of admissibility condition in a Hausdorff Branciari metric space with the support of C-functions, was obtained.
Patil Jayashree +4 more
doaj +1 more source
Strong convergence for the modified Mann's iteration of $\lambda$-strict pseudocontraction
, 2014 In this paper, for an $\lambda$-strict pseudocontraction $T$, we prove strong convergence of the modified Mann's iteration defined by $$x_{n+1}=\beta_{n}u+\gamma_nx_n+(1-\beta_{n}-\gamma_n)[\alpha_{n}Tx_n+(1-\alpha_{n})x_n],$$ where $\{\alpha_{n}\}$, $ \{
Song, Yisheng, Wang, Hongjun
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Contraction conditions using comparison functions on b-metric spaces
, 2014 In this paper, we consider the setting of b-metric spaces to establish results regarding the common fixed points of two mappings, using a contraction condition defined by means of a comparison function.
W. Shatanawi, A. Pitea, Rade Lazovic
semanticscholar +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The purpose of this article is to present some fixed point theorems to guarantee the existence and uniqueness of common fixed points for two mappings (not necessary continuous), satisfying generalized contractions involving rational expressions in the setting of extended parametric Sb‐metric spaces.
Naveen Mani +4 more
wiley +1 more source
Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
Demonstratio Mathematica, 2020 In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is
Villa-Morales José
doaj +1 more source
Fixed point Theorem for Interpolative Mappings in F-Mv-Metric Space with an Application
Topological Algebra and its Applications, 2022 The aim of this paper is to prove fixed point results for Interpolativemappings in F-Mv-metric spaces with an application which cannot be obtained from the corresponding results in metric spaces.
Wangwe Lucas
doaj +1 more source
, 2014 The Maskawa-Nakajima equation has attracted considerable interest in elementary particle physics. From the viewpoint of operator theory, we study the Maskawa-Nakajima equation in the massless abelian gluon model.
Bach +23 more
core +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this study, we establish sufficient conditions for the existence and uniqueness of periodic solutions for a generalized nonlinear neutral delay differential equation with infinite delay, using Krasnoselskii’s fixed‐point theorem and the contraction mapping principle. We also prove the asymptotic stability of the trivial solution.
Mohamed Illafe +3 more
wiley +1 more source
Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
Open Mathematics, 2017 The purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with a directed graph.
Kir Mehmet +2 more
doaj +1 more source