Results 1 to 10 of about 2,523 (169)

Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

Abstract and Applied Analysis
MSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
doaj   +3 more sources

Attouch-Théra Duality, Generalized Cycles, and Gap Vectors [PDF]

SIAM Journal on Optimization, 2021
Using the Attouch-Théra duality, we study the cycles, gap vectors and fixed point sets of compositions of proximal mappings. Sufficient conditions are given for the existence of cycles and gap vectors.
S. Alwadani, Heinz H. Bauschke, Xianfu Wang   +2 more
semanticscholar   +1 more source

Solving System of Mixed Ordered Variational Inequalities Involving XOR and XNOR Operations in Ordered Product Banach Space

Journal of Advances in Applied & Computational Mathematics, 2023
In this article, we study a generalized system of mixed ordered variational inequalities problems with various operations in a real ordered product Banach space and discuss the existence of the solution of our considered problem.
Iqbal Ahmad, Mohammad Farid, S. S. Irfan
semanticscholar   +1 more source

Two strongly convergent self-adaptive iterative schemes for solving pseudo-monotone equilibrium problems with applications

Demonstratio Mathematica, 2021
The aim of this paper is to propose two new modified extragradient methods to solve the pseudo-monotone equilibrium problem in a real Hilbert space with the Lipschitz-type condition.
Pakkaranang Nuttapol, Rehman Habib ur, Kumam Wiyada   +2 more
doaj   +1 more source

Inertial iterative method with self-adaptive step size for finite family of split monotone variational inclusion and fixed point problems in Banach spaces

Demonstratio Mathematica, 2022
In this paper, we propose and study a new inertial iterative algorithm with self-adaptive step size for approximating a common solution of finite family of split monotone variational inclusion problems and fixed point problem of a nonexpansive mapping ...
Ogwo Grace N., Alakoya Timilehin O., Mewomo Oluwatosin T.   +2 more
doaj   +1 more source

Fixed point results in generalized suprametric spaces

Topological Algebra and its Applications, 2023
We introduce the concept of generalized suprametric spaces, which subsumes some existing abstract metric spaces. Then, we show the existence of fixed points for maps satisfying nonlinear contractions involving either extended comparison or ρ\rho ...
Berzig Maher
doaj   +1 more source

Fixed Point Results for Zamfirescu Mappings in A-metric Spaces [PDF]

, 2021
In the present paper, we extend the Zamfirescu results ( [9]) to A-metric spaces. Firstly, we define the notion of Zamfirescu mapping in A-metric spaces. After, we also obtain a fixed point theorem for such mappings.
I. Yildirim
semanticscholar   +1 more source

Firmly nonexpansive mappings in classes of geodesic spaces [PDF]

, 2012
Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators.
David Ariza-Ruiz, Laurentiu Leustean, Genaro López-Acedo   +2 more
semanticscholar   +1 more source

On unique and non-unique fixed point in parametric Nb−metric spaces with application

Acta Universitatis Sapientiae: Mathematica, 2022
We propose 𝒮𝒜, η−𝒮𝒜, η−𝒮 𝒜min, and 𝒮𝒜η,δ,ζ−contractions and notions of η−admissibility type b and ηb−regularity in parametric Nb-metric spaces to determine a unique fixed point, a unique fixed circle, and a greatest fixed disc.
Petwal Sudheer, Tomar Anita, Joshi Meena
doaj   +1 more source

Strong and weak convergence of Ishikawa iterations for best proximity pairs

Open Mathematics, 2020
Let A and B be nonempty subsets of a normed linear space X. A mapping T : A ∪ B → A ∪ B is said to be a noncyclic relatively nonexpansive mapping if T(A) ⊆ A, T(B) ⊆ B and ∥Tx − Ty∥ ≤ ∥x − y∥ for all (x, y) ∈ A × B.
Gabeleh Moosa, Manna S. I. Ezhil, Eldred A. Anthony, Otafudu Olivier Olela   +3 more
doaj   +1 more source