Results 51 to 60 of about 187 (124)

The Solution of Nonlinear Matrix Equations Using Suzuki Multivalued Fixed Point Theorems in Rectangular M‐Metric Spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This paper establishes new fixed‐point (FP) theorems for Suzuki–Rational (ψ, ϕ)‐type multivalued contractions in complete rectangular M‐metric spaces (RM‐MSs). These theorems ensure the existence of fixed points and provide significant insights into the structural properties of such contractions.
Mustafa Mudhesh, Muhammad Arshad, Aftab Hussain, Hamed Alsulami, Abdul Rauf Khan   +4 more
wiley   +1 more source

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

Journal 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, Temel Ermis, Özcan Gelisgen, Mujahid Abbas, Seppo Hassi   +4 more
wiley   +1 more source

New contributions to best proximity theory using proximal projection operators in hyperbolic metric spaces

Demonstratio Mathematica
Let (E, F) be a nonempty pair subsets of a metric space (M, d) and let T:E∪F→E∪F $\mathcal{T} : E\cup F\to E\cup F$ be a noncyclic mapping, means that, T(E)⊆E,T(F)⊆F $\mathcal{T}\left(E\right)\subseteq E,\mathcal{T}\left(F\right)\subseteq F$ .
Gabeleh Moosa, Patle Pradip R., Aphane Maggei   +2 more
doaj   +1 more source

Investigating Nonlinear Activation Mechanism Through Fixed‐Circle Theorems of Enriched Multivalued Bilateral‐Type Contractions

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we present new results addressing the fixed‐circle and fixed‐disc problems through modification of the multivalued bilateral Jaggi‐type and Dass–Gupta‐type contractions. Furthermore, we demonstrate the application of these theorems to the nonlinear activation mechanism used in neural networks.
Saima Kanwal, Naeem Saleem, Ali Althobaiti, Samuel Nicolay   +3 more
wiley   +1 more source

A novel iterative process for numerical reckoning of fixed points via generalized nonlinear mappings with qualitative study

Demonstratio Mathematica
This manuscript is devoted to constructing a novel iterative scheme and reckoning of fixed points for generalized contraction mappings in hyperbolic spaces.
Ahmad Fayyaz, Ullah Kifayat, Ahmad Junaid, Hammad Hasanen A., George Reny   +4 more
doaj   +1 more source

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

Journal 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, Manochehr Kazemi, Shami A. M. Alsallami, Ji Gao   +3 more
wiley   +1 more source

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

Journal 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, Swati Parashar, Pankaj Kumar, Rahul Shukla, Watcharaporn Cholamjiak   +4 more
wiley   +1 more source

Cyclic pairs and common best proximity points in uniformly convex Banach spaces

Open Mathematics, 2017
In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa, Julia Mary P., Eldred Eldred A.Anthony, Olela Otafudu Olivier   +3 more
doaj   +1 more source

On bivariate fractal interpolation for countable data and associated nonlinear fractal operator

Demonstratio Mathematica
Fractal interpolation has been conventionally treated as a method to construct a univariate continuous function interpolating a given finite data set with the distinguishing property that the graph of the interpolating function is the attractor of a ...
Pandey Kshitij Kumar, Secelean Nicolae Adrian, Viswanathan Puthan Veedu   +2 more
doaj   +1 more source

Transsynaptic mapping of Drosophila mushroom body output neurons. [PDF]

Elife, 2021
Scaplen KM, Talay M, Fisher JD, Cohn R, Sorkaç A, Aso Y, Barnea G, Kaun KR.   +7 more
europepmc   +1 more source