Results 61 to 70 of about 3,015 (138)

Existence of Oscillatory Solutions for Second‐Order Functional Differential Equations With Time Delay

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper investigates the existence of oscillatory behavior of solutions for the following second‐order delay differential equation rtΨx′t′+ptΨx′t+∑i=1mGit,xgit=qt,t≥t0. By using the Schauder–Tychonoff fixed‐point theorem and Ascoli–Arzelà theorem, sufficient conditions for the existence of oscillatory solutions are derived.
Ahmed Maher   +3 more
wiley   +1 more source

Common fixed points of R-weakly commuting maps in generalized metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this paper, using the setting of a generalized metric space, a unique common fixed point of four R-weakly commuting maps satisfying a generalized contractive condition is obtained. We also present example in support of our result.
Khan Safeer, Abbas Mujahid, Nazir Talat
doaj  

On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali   +3 more
wiley   +1 more source

Generalized α − ψ Rational‐Type Contractions and Related Fixed Point Results in Controlled Metric Spaces

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
We introduce the new notion of generalized α − ψ rational type contractions of type I and type II in controlled metric spaces. By making use of these new notions, some fixed point theorems are also proved in the mentioned spaces for the α− admissible self maps.
Manoj Kumar   +4 more
wiley   +1 more source

Composite iterative schemes for maximal monotone operators in reflexive Banach spaces

open access: yesFixed Point Theory and Applications, 2011
In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a shrinking projection method.
Cho Yeol   +2 more
doaj  

Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps

open access: yesAdvances in Nonlinear Analysis, 2018
We give a generalized version of the well-known Borsuk’s antipodal fixed point theorem for a large class of antipodally approachable condensing or compact set-valued maps defined on closed subsets of locally convex topological vector spaces.
Altwaijry Najla   +3 more
doaj   +1 more source

The fixed point theorems of 1-set-contractive operators in Banach space

open access: yesFixed Point Theory and Applications, 2011
In this paper, we obtain some new fixed point theorems and existence theorems of solutions for the equation Ax = μx using properties of strictly convex (concave) function and theories of topological degree. Our results and methods are different from
Wang Shuang
doaj  

Fixed point results for contractions involving generalized altering distances in ordered metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete metric spaces.
Samet Bessem, Kim Jong, Nashine Hemant
doaj  

A new stability results for the backward heat equation

open access: yes, 2009
In this paper, we regularize the nonlinear inverse time heat problem in the unbounded region by Fourier method. Some new convergence rates are obtained.
Dinh, Alain Pham Ngoc   +3 more
core  

Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved.
Agarwal Ravi   +2 more
doaj  

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