Results 1 to 10 of about 60 (59)

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

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

Method of semidiscretization in time for quasilinearintegrodifferential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 9, Page 469-478, 2004., 2004
We consider a class of quasilinear integrodifferential equations in a reflexive Banach space. We apply the method of semidiscretization in time to establish the existence, uniqueness, and continuous dependence on the initial data of strong solutions.
D. Bahuguna, Reeta Shukla
wiley   +1 more source

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