Results 31 to 40 of about 287 (164)

Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation

open access: yesDemonstratio Mathematica, 2019
In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach ...
Rehman Habib ur   +2 more
doaj   +1 more source

An iterative approximation of common solutions of split generalized vector mixed equilibrium problem and some certain optimization problems

open access: yesDemonstratio Mathematica, 2021
In this paper, we study the problem of finding a common solution of split generalized vector mixed equlibrium problem (SGVMEP), fixed point problem (FPP) and variational inequality problem (VIP).
Mewomo Oluwatosin T., Oyewole Olawale K.
doaj   +1 more source

Strong Convergence and Almost I‐Stability by a Two‐Step Iterative Scheme for Weak Contraction in Banach Space

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
The present paper develops a new two‐step iterative method, referred to as the P∗ iteration, for the approximation of fixed points of weak contractions mappings in Banach spaces. The theoretical analysis establishes the strong convergence of the proposed scheme to the unique fixed point, along with its almost I‐stability.
Poonam Yadav   +3 more
wiley   +1 more source

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

open access: yesDemonstratio 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.   +4 more
doaj   +1 more source

Polynomial Fuzzy Contractions With Applications to SEIRV Epidemic Models

open access: yesJournal 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   +2 more
wiley   +1 more source

Convergence of Picard–CR Iterative Algorithm and Applications

open access: yesJournal 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

open access: yesJournal 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   +4 more
wiley   +1 more source

Persistence landscapes of affine fractals

open access: yesDemonstratio 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.   +2 more
doaj   +1 more source

On the Characterisation of Almost Weakly Picard Operators via Weakest Contractivity Criteria in b‐Metric Spaces

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
We study the relation between the weakest contractivity criteria along Picard trajectories and the class of almost weakly Picard operators (AWPOs) in b‐metric spaces. For a self‐map T on a b‐metric space, we consider two uniform regularity conditions on Picard orbits: (W1), which controls arbitrary pairs of iterates, and its weaker counterpart (W2 ...
Mi Zhou   +5 more
wiley   +1 more source

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

open access: yesDemonstratio 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.   +2 more
doaj   +1 more source

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