Results 41 to 50 of about 276 (165)

Polynomial Fuzzy Contractions With Applications to SEIRV Epidemic Models

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this study, a new family of polynomial‐type fuzzy contractions defined on metric spaces is introduced. Under filtered assumptions, it is demonstrated that such non‐crisp set‐valued operators possess some fixed points. Because of the higher‐order terms polynomial nature of the contractions, a few important corollaries, some of which drop to existing ...
Maha Noorwali, Mohammed Shehu Shagari, Bilal Bilalov   +2 more
wiley   +1 more source

Generalized split null point of sum of monotone operators in Hilbert spaces

Demonstratio Mathematica, 2021
In this paper, we introduce a new type of a generalized split monotone variational inclusion (GSMVI) problem in the framework of real Hilbert spaces. By incorporating an inertial extrapolation method and an Halpern iterative technique, we establish a ...
Mebawondu Akindele A., Abass Hammed A., Oyewole Olalwale K., Aremu Kazeem O., Narain Ojen K.   +4 more
doaj   +1 more source

Convergence of Picard–CR Iterative Algorithm and Applications

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In applied mathematics, graph theory (GT) is a notably compelling area of study. In the last 50 years, the number of mathematicians making contributions to research in this field has consistently increased. This rising interest is mainly a result of the significant real‐world applications it offers.
Suheyla Elmas, Marko Kostic
wiley   +1 more source

Stationary and Nonstationary Iterative Methods for Generalized Nonexpansive Mappings in Uniformly Convex Banach Spaces

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
The aim of this paper is to present a novel stationary and nonstationary iterative approach for approximating common fixed points of a finite family of generalized nonexpansive mappings in uniformly convex Banach spaces. For the stationary scheme, both strong and weak convergence theorems are established under standard geometric conditions.
Sehar Afsheen, Amna Kalsoom, Faryad Ali, Akbar Azam, John R. Akeroyd   +4 more
wiley   +1 more source

Existence and Approximate Solutions for Nonlinear Systems of Tripled‐Variable Fractional Singular Volterra Integral Equations Under Measure of Noncompactness

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This work introduces an innovative analytical framework for studying finite systems of nonlinear tripled‐variable fractional singular Volterra integral equations in the Banach space. The investigation combines the technique of measures of noncompactness with fixed point theorem to establish new solvability criteria for highly nonlinear finite ...
Hasanen A. Hammad, Maryam G. Alshehri, Ramesh Kandala   +2 more
wiley   +1 more source

Persistence landscapes of affine fractals

Demonstratio Mathematica, 2022
We develop a method for calculating the persistence landscapes of affine fractals using the parameters of the corresponding transformations. Given an iterated function system of affine transformations that satisfies a certain compatibility condition, we ...
Catanzaro Michael J., Przybylski Lee, Weber Eric S.   +2 more
doaj   +1 more source

A Study on Fixed‐Point Theory and Topological Structures Involving ϖb‐Distance on θ‐Complete Metric‐Type Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce a family of topologies τp on metric‐type spaces (MTSs) using powers of the ϖb‐distance. Moreover, we investigate fundamental topological properties, including convergence, closed sets, Cauchy sequences, and Hausdorffness, showing how varying p > 0 affects these properties.
Ahad Hamoud Alotaibi, Huda Al-Malki, Smritijit Sen   +2 more
wiley   +1 more source

An extragradient inertial algorithm for solving split fixed-point problems of demicontractive mappings, with equilibrium and variational inequality problems

Demonstratio Mathematica, 2022
The purpose of this article is to study and analyse a new extragradient-type algorithm with an inertial extrapolation step for solving split fixed-point problems for demicontractive mapping, equilibrium problem, and pseudomonotone variational inequality ...
Okeke Chibueze C., Ugwunnadi Godwin C., Jolaoso Lateef O.   +2 more
doaj   +1 more source

Convergence Behavior of the F∗ Algorithm: Strong and Weak Results for Nonexpansive Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines the strong and weak convergence of the F∗ iterative approach to the fixed point of a nonexpansive mapping in the context of a Banach space. This work shows improved rate and efficiency of convergence. Furthermore, we proved that F∗ iterative algorithm converges to a fixed point faster than Picard, Mann, S, and Varat iterative ...
Anju Panwar, Poonam Yadav, Mohammad Sajid, Ji Gao   +3 more
wiley   +1 more source

Reflexivity of Hilbert K(H)‐Modules and Fixed‐Point Property for Nonexpansive Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We prove that a Hilbert C∗‐module over the C∗‐algebra K(H) of all compact operators on a complex infinite dimensional Hilbert space H is reflexive as a Banach space if and only if its orthogonal dimension is finite. In particular, a Hilbert K(H)‐module has the fixed‐point property (FPP) for nonexpansive mappings if and only if it is reflexive as a ...
Kourosh Nourouzi, Smritijit Sen
wiley   +1 more source