Results 41 to 50 of about 3,015 (138)

Existence of positive periodic solutions for first-order nonlinear differential equations with multiple time-varying delays

open access: yesOpen Mathematics, 2022
This study elucidates the sufficient conditions for the first-order nonlinear differential equations with periodic coefficients and time-varying delays to have positive periodic solutions.
Han Xiaoling, Lei Ceyu
doaj   +1 more source

Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and Ćirić fixed point theorems in the framework of A‐metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.
Ismat Beg   +4 more
wiley   +1 more source

A minimax inequality and its applications to fixed point theorems in CAT(0) spaces

open access: yesFixed Point Theory and Applications, 2011
In this paper, a CAT(0) version of famous Fan's minimax inequality is established and as its application, we obtain some fixed point theorems and best approximation theorems in CAT(0) spaces. 2000 Mathematics Subject Classification: 47H10.
Shabanian S, Vaezpour SM
doaj  

Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition

open access: yesOpen Mathematics, 2022
In this work, the solvability for an inverse problem of a nonlinear parabolic equation with nonlocal integral overdetermination supplementary condition is examined.
Huntul Mousa J.   +3 more
doaj   +1 more source

Fixed Point Results for Nonlinear F‐Contractions in Composed S‐Metric Spaces

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, we introduce the concept of composed S‐metric space as a new generalization of S‐metric space and Sb‐metric space. We present some examples showing that a composed S‐metric space is a generalization of various types of abstract spaces, and results showing the relation with the Sp‐metric space introduced earlier. We also prove fixed‐point
Chol Jin Kil   +3 more
wiley   +1 more source

Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces

open access: yesFixed Point Theory and Applications, 2011
We extend Rodé's theorem on common fixed points of semigroups of nonexpansive mappings in Hilbert spaces to the CAT(0) space setting. 2000 Mathematics Subject Classification: 47H09; 47H10.
Anakkamatee Watcharapong   +1 more
doaj  

Relation‐Theoretic Contraction via a Triplet of Auxiliary Functions and an Application to Ordinary Differential Equations

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this manuscript, we establish some results on fixed points by using a triplet of auxiliary functions endowed with a locally J‐transitive binary relation. We also present an example to illustrate the suitability of our results and discuss some applications to first and second order ordinary differential equations with periodic boundary value problems,
Shahbaz Ali   +4 more
wiley   +1 more source

Orthogonal Stability of an Additive-Quadratic Functional Equation

open access: yesFixed Point Theory and Applications, 2011
Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
doaj  

Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application

open access: yesOpen 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

On the Fixed Point Results for the Suzuki‐Type Multivalued δ‐Contractions

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this study, we prove the existence of a fixed point for a Suzuki‐type δ‐contraction, which is a generalization of the δ‐contraction and weak δ‐contraction mappings. We prove a fixed point theorem for multivalued mappings satisfying a Suzuki‐type δ‐contraction in complete fuzzy metric spaces. Furthermore, we prove some several fixed point results for
Müzeyyen Sangurlu Sezen   +6 more
wiley   +1 more source

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