Results 1 to 10 of about 82 (56)

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

open access: yesDemonstratio 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   +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

open access: yesDemonstratio 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.   +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

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

On split generalized equilibrium problem with multiple output sets and common fixed points problem

open access: yesDemonstratio Mathematica, 2023
In this article, we introduce and study the notion of split generalized equilibrium problem with multiple output sets (SGEPMOS). We propose a new iterative method that employs viscosity approximation technique for approximating the common solution of the
Godwin Emeka C.   +2 more
doaj   +1 more source

On solving pseudomonotone equilibrium problems via two new extragradient-type methods under convex constraints

open access: yesDemonstratio Mathematica, 2022
The primary objective of this study is to develop two new proximal-type algorithms for solving equilibrium problems in real Hilbert space. Both new algorithms are analogous to the well-known two-step extragradient algorithm for solving the variational ...
Khunpanuk Chainarong   +2 more
doaj   +1 more source

Faedo-Galerkin approximation of mild solutions of fractional functional differential equations

open access: yesNonautonomous Dynamical Systems, 2021
In the paper, we discuss the existence and uniqueness of mild solutions of a class of fractional functional differential equations in Hilbert space separable using the Banach fixed point theorem technique.
Sousa J. Vanterler da C.   +2 more
doaj   +1 more source

On split feasibility problem for finite families of equilibrium and fixed point problems in Banach spaces

open access: yesDemonstratio Mathematica, 2022
In this article, motivated by the works of Ali Akbar and Elahe Shahrosvand [Split equality common null point problem for Bregman quasi-nonexpansive mappings, Filomat 32 (2018), no. 11, 3917–3932], Eskandani et al.
Abass Hammed A.   +4 more
doaj   +1 more source

Convergence analysis for split hierachical monotone variational inclusion problem in Hilbert spaces

open access: yesTopological Algebra and its Applications, 2022
In this paper, we introduce a new iterative algorithm for approximating a common solution of Split Hierarchical Monotone Variational Inclusion Problem (SHMVIP) and Fixed Point Problem (FPP) of k-strictly pseudocontractive mappings in real Hilbert spaces.
Abass H.A., Jolaoso L. O., Mewomo O. T.
doaj   +1 more source

Weak solutions and optimal controls of stochastic fractional reaction-diffusion systems

open access: yesOpen Mathematics, 2020
The aim of this paper is to investigate a class of nonlinear stochastic reaction-diffusion systems involving fractional Laplacian in a bounded domain. First, the existence and uniqueness of weak solutions are proved by using Galërkin’s method.
Fu Yongqiang, Yan Lixu
doaj   +1 more source

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