Explanipedia

A Modified Inertial Subgradient Extragradient Method for Solving Pseudomonotone Equilibrium Problem Open

Austine Efut Ofem, A. A. Mebawondu, Aneshkumar Maharaj, Ojen Kumar Narain · 2025

In this paper, we introduce and study a new modified inertial subgradient extragradient method that includes a self-adaptive step size and viscosity technique for approximating the solution of pseudomonotone equilibrium and fixed point pro…

A method involving tri-inertial-type for solving split problems with multiple output sets Open

Imo Kalu Agwu, Godwin Chidi Ugwunnadi, Ojen Kumar Narain, A. A. Mebawondu · 2025

This paper studies a strongly convergent of a modified tri-inertial viscosity self-adaptive technique for common solution to the split generalized equilibrium problem together with the split common null point problem with multiple output s…

A new relaxed inertial method for solving monotone inclusion problem Open

L. Mzimela, Chinedu Izuchukwu, A. A. Mebawondu, Ojen Kumar Narain · 2025

We propose a relaxed inertial-Tseng method for solving monotone inclusion problem in a real Hilbert. The newly proposed inertial condition is relaxed and easy to implement, and its upper bound is easy to obtain unlike many conditions in th…

An accelerated Tseng type method for solving zero point problems and certain optimization problems Open

A. A. Mebawondu, Hammed Anuoluwapo Abass, Olawale Kazeem Oyewole · 2025

In this paper, we proposed a modified Tseng’s splitting iterative algorithm for approximating a solution of split feasibility problem for zero and fixed point problems. By incorporating an inertial extrapolation method and Halpern iterativ…

A new double inertial subgradient extragradient method for solving quasimonotone variationalinequality problems Open

Reny George, Austine Efut Ofem, A. A. Mebawondu, Francis Akutsah, Fahad Sameer Alshammari , et al. · 2024

Correction: A modified inertial Tseng technique of Bilevel variational inequality problem with application to image processing Open

A. A. Mebawondu, Reny George, Ojen Kumar Narain, Akindele Akano Onifade, Funmilayo Kasali · 2024

An inertial iterative method for solving split monotone inclusion problems in Hilbert spaces Open

A. A. Mebawondu, Akunna Sunsan Sunday, Ojen Kumar Narain, Adhir Maharaj · 2024

Solving Bilevel quasimonotone variational inequality problem in Hilbert spaces Open

Daniel Peter, A. A. Mebawondu, Godwin Chidi Ugwunnadi, Paranjothi Pillay, Ojen Kumar Narain · 2024

In this paper, we propose and study a Bilevel quasimonotone Variational Inequality Problem (BVIP) in the frame work of Hilbert space. We introduce a new modified inertial iterative technique with self-adaptive step size for approximating a…

A strong convergence algorithm for approximating a common solution of variational inequality and fixed point problems in real Hilbert space Open

Olawale Kazeem Oyewole, A. A. Mebawondu, Oluwatosin Temitope Mewomo · 2024

In this paper, we propose an iterative algorithm for approximating a common solution of a variational inequality and fixed-point problem. The algorithm combines the subgradient extragradient technique, inertial method and a modified viscos…

A new double inertial subgradient extragradient algorithm for solving split pseudomonotone equilibrium problems and fixed point problems Open

A. A. Mebawondu, Austine Efut Ofem, Francis Akutsah, Christopher Agbonkhese, Funmilayo Kasali , et al. · 2024

The purpose of this article is to suggest a modified subgradient extragradient method that includes double inertial extrapolations and viscosity approach for finding the common solution of split equilibrium problem and fixed point problem.…

Modified mildly inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and nonexpansive fixed point problems Open

Francis Akutsah, A. A. Mebawondu, Austine Efut Ofem, Reny George, Hossam A. Nabwey , et al. · 2024

This paper presents and examines a newly improved linear technique for solving the equilibrium problem of a pseudomonotone operator and the fixed point problem of a nonexpansive mapping within a real Hilbert space framework. The technique …

Forward-backward splitting algorithm with self-adaptive method for finite family of split minimization and fixed point problems in Hilbert spaces Open

Hammed Anuoluwapo Abass, Kazeem Olalekan Aremu, Olawale Kazeem Oyewole, A. A. Mebawondu, Ojen Kumar Narain · 2023

In this paper, we introduce an inertial forward-backward splitting method together with a Halpern iterative algorithm for approximating a common solution of a finite family of split minimization problem involving two proper, lower semicont…

A modified subgradient extragradient algorithm-type for solving quasimonotone variational inequality problems with applications Open

Austine Efut Ofem, A. A. Mebawondu, Godwin Chidi Ugwunnadi, Hüseyin Işık, Ojen Kumar Narain · 2023

In this article, we introduce an inertial-type algorithm that combines the extragradient subgradient method, the projection contraction method, and the viscosity method. The proposed method is used for solving quasimonotone variational ine…

INERTIAL MANN-KRASNOSELSKII ALGORITHM WITH SELF ADAPTIVE STEPSIZE FOR SPLIT VARIATIONAL INCLUSION PROBLEM AND PARAMONOTONE EQUILIBRIA Open

Lateef Olakunle Jolaoso, A. A. Mebawondu, Oluwatosin Temitope Mewomo · 2022

In this paper, we introduce a Mann-Krasnoselskii algorithm of inertial form for approximating a common solution of Spit Variational Inclusion Problem (SVIP) and Equilibrium Problem (EP) with paramonotone bifunction in real Hilbert spaces. …

Some results on generalized mean nonexpansive mapping in complete metric spaces Open

A. A. Mebawondu, Chinedu Izuchukwu, Hammed Anuoluwapo Abass, Oluwatosin Temitope Mewomo · 2022

In this paper, we obtain sufficient conditions for the existence of a unique fixed point of $T$- mean nonexpansive mapping and an integral type of $T$- mean nonexpansive mapping. We also obtain sufficient conditions for the existence of co…

On split common fixed point and monotone inclusion problems in reflexive Banach spaces Open

Hammed Anuoluwapo Abass, A. A. Mebawondu, Chinedu Izuchukwu, Ojen Kumar Narain · 2022

In this paper, we study split common fixed point problems of Bregman demigeneralized and Bregman quasi-nonexpansive mappings in reflexive Banach spaces.Using the Bregman technique together with a Halpern iterative algorithm, we approximate…

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

Hammed Anuoluwapo Abass, Olawale Kazeem Oyewole, A. A. Mebawondu, Kazeem Olalekan Aremu, Ojen Kumar Narain · 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. [ A hybrid extragradien…

Inertial extrapolation method with regularization for solving monotone bilevel variation inequalities and fixed point problems Open

Francis Akutsah, A. A. Mebawondu, Godwin Chidi Ugwunnadi, Ojen Kumar Narain · 2022

The purpose of this paper is to introduce a generalized inertial extrapolation iterative method with regularization for approximating a solution of monotone and Lipschitz variational inequality and fixed point problems.In real Hilbert spac…

A self adaptive method for solving a class of bilevel variational inequalities with split variational inequality and composed fixed point problem constraints in Hilbert spaces Open

Francis Akutsah, A. A. Mebawondu, Hammed Anuoluwapo Abass, Ojen Kumar Narain · 2021

In this work, we propose a new inertial method for solving strongly monotone variational inequality problems over the solution set of a split variational inequality and composed fixed point problem in real Hilbert spaces. Our method uses s…

Data Sets on Instructional Technology Open

Jeremiah Ademola Balogun, Funmilayo Kasali, A. A. Mebawondu, Akindele Onifade, Chinwe Igiri , et al. · 2021

A questionnaire which contained two parts was designed. Content and face validation were done on the questionnaire by experts in that area to ascertain that the tool would measure what it was designed for. Random sampling method was used t…

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

A. A. Mebawondu, Hammed Anuoluwapo Abass, Olawale Kazeem Oyewole, Kazeem Olalekan Aremu, Ojen Kumar Narain · 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 …

A STRONG CONVERGENCE HALPERN-TYPE INERTIAL ALGORITHM FOR SOLVING SYSTEM OF SPLIT VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS Open

A. A. Mebawondu, Lateef Olakunle Jolaoso, H. A. Abass, Olawale Kazeem Oyewole, Kazeem Olalekan Aremu · 2021

In this paper, we propose a new Halpern-type inertial extrapolation method for approximating common solutions of the system of split variational inequalities for two inverse-strongly monotone operators, the variational inequality problem …

On fixed point results for a class of generalized mean nonexpansive mappings Open

A. A. Mebawondu, Chinedu Izuchukwu, Olawale Kazeem Oyewole, Oluwatosin Temitope Mewomo · 2020

In this paper, we introduce a new class of generalized mean nonexpansive mappings and propose an iterative algorithm for approximating the fixed points of this class of mappings in the frame work of uniformly convex Banach spaces. We estab…

Solution of integral equations via new Z-contraction mapping in Gb-metric spaces Open

A. A. Mebawondu, Chinedu Izuchukwu, Olawale Kazeem Oyewole, Oluwatosin Temitope Mewomo · 2020

We introduce a new type of (α, β)-admissibility and (α, β)-Z-contraction mappings in the frame work of Gb-metric spaces. Using these concepts, fixed point results for (α, β)-Z-contraction mappings in the frame work of complete Gb-metric sp…

A different approach to approximating solutions of monotone Yoshida variational inclusion problem in a Banach space Open

Hammed Anuoluwapo Abass, A. A. Mebawondu, Oluwatosin Temitope Mewomo · 2020

Convergence Analysis of Quasi-Variational Inclusion and Fixed Point Problems of Finite Family of Certain Nonlinear Mappings in Hilbert Spaces Open

Hammed Anuoluwapo Abass, A. A. Mebawondu, Oluwatosin Temitope Mewomo · 2020

The purpose of this paper is to present a modified Halpern iterative algorithm for finding a common solution of quasi-variational inclusion problem and fixed point problem of a finite family of demimetric mappings and quasi-nonexpansive ma…

Proximal Point Algorithms for Finding Common Fixed Points of a Finite Family of Nonexpansive Multivalued Mappings in Real Hilbert Spaces Open

A. A. Mebawondu · 2019

We start by showing that the composition of fixed point of minimization problem and a finite family of multivalued nonexpansive mapping are equal to the common solution of the fixed point of each of the aforementioned problems, that is, $F…

A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space Open

Chinedu Izuchukwu, Kazeem Olalekan Aremu, A. A. Mebawondu, Oluwatosin Temitope Mewomo · 2019

The main purpose of this paper is to introduce a viscosity-type proximal point algorithm, comprising of a nonexpansive mapping and a finite sum of resolvent operators associated with monotone bifunctions. A strong convergence of the propos…

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