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L. Mzimela,A. A. Mebawondu,A. Maharaj,C. Izuchukwu,O.K. Narain 경남대학교 수학교육과 2024 Nonlinear Functional Analysis and Applications Vol.29 No.1
In this paper, we study the problem of finding a common solution to a fixed point problem involving a finite family of $\rho$-demimetric operators and a split monotone inclusion problem with monotone and Lipschitz continuous operator in real Hilbert spaces. Motivated by the inertial technique and the Tseng method, a new and efficient iterative method for solving the aforementioned problem is introduced and studied. Also, we establish a strong convergence result of the proposed method under standard and mild conditions.
EXISTENCE OF SOLUTION OF DIFFERENTIAL EQUATION VIA FIXED POINT IN COMPLEX VALUED b-METRIC SPACES
A. A. Mebawondu,H.A. Abass,M.O. Aibinu,O.K. Narain 경남대학교 수학교육과 2021 Nonlinear Functional Analysis and Applications Vol.26 No.2
The concepts of new classes of mappings are introduced in thespaces which are more general space than the usual metric spaces. The existence and uniqueness of common fixedpoints and fixed point results are established in the setting of complete complex valued $b$-metric spaces. An illustration is given by establishing the existence of solution of periodic differential equations in theframework of a complete complex valued $b$-metric spaces.
A.E. Ofem,A. A. Mebawondu,C. Agbonkhese,G.C. Ugwunnadi,O.K. Narain 경남대학교 수학교육과 2024 Nonlinear Functional Analysis and Applications Vol.29 No.1
In this research, we study a modified relaxed Tseng method with a single projection approach for solving common solution to a fixed point problem involving finite familyof $\tau$-demimetric operators and a quasi-monotone variational inequalities in real Hilbert spaces with alternating inertial extrapolation steps and adaptive non-monotonic step sizes. Under some appropriate conditions that are imposed on the parameters, the weak and linear convergence results of the proposed iterative scheme are established. Furthermore, we present some numerical examples and application of our proposed methods in comparison with other existing iterative methods. In order to show the practical applicability of our method to real word problems, we show that our algorithm has better restoration efficiency than many well known methods in image restoration problem. Our proposed iterative method generalizes and extends many existing methods in the literature.
SOME FIXED POINT RESULTS FOR TAC-SUZUKI CONTRACTIVE MAPPINGS
Mebawondu, Akindele A.,Mewomo, Oluwatosin T. Korean Mathematical Society 2019 대한수학회논문집 Vol.34 No.4
In this paper, we introduce the notion of modified TAC-Suzuki-Berinde type F-contraction and modified TAC-(${\psi}$, ${\phi}$)-Suzuki type rational mappings in the frame work of complete metric spaces, we also establish some fixed point results regarding this class of mappings and we present some examples to support our main results. The results obtained in this work extend and generalize the results of Dutta et al. [9], Rhoades [18], Doric, [8], Khan et al. [13], Wardowski [25], Piri et al. [17], Sing et al. [23] and many more results in this direction.
ON CHARACTER PSEUDO - AMENABLE SEMIGROUP ALGEBRAS
O. T. Mewomo,A. A. Mebawondu,U. O. Adiele,P. O. Olanipekun 장전수학회 2017 Proceedings of the Jangjeon mathematical society Vol.20 No.4
We study the character pseudo - amenability of semigroup algebras. We focus on certain semigroups such as inverse semigroup with uniformly locally finite idempotent set and Brandt semigroup and study the character pseudo - amenability of semigroup algebra l1(S) in relation to the semigroup S: In particular, we show that for a unital cancellative semigroup S; the character pseudo-amenability of l1(S) is equivalent to its amenability, this is in turn equivalent to S being an amenable group.
SOLVING QUASIMONOTONE SPLIT VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM IN HILBERT SPACES
D. O. Peter,A. A. Mebawondu,G.C. Ugwunnadi,P. Pillay,O.K. Narain 경남대학교 수학교육과 2023 Nonlinear Functional Analysis and Applications Vol.28 No.1
In this paper, we introduce and study an iterative technique for solving quasimonotone split variational inequality problems and fixed point problem in the framework of real Hilbert spaces. Our proposed iterative technique is self adaptive, and easy to implement. We establish that the proposed iterative technique converges strongly to a minimum-norm solution of the problem and give some numerical illustrations in comparison with other methods in the literature to support our strong convergence result.