https://bangmodjmcs.com/index.php/bangmodmcs/issue/feedBangmod International Journal of Mathematical and Computational Science2023-12-31T00:00:00+00:00Principal Editor Bangmod J-MCS (on beahlf of the Editor in Chief: Professor Dr. Sompong Dhompongsa) anantachai.p@rbru.ac.thOpen Journal Systems<p><strong>Bangmod</strong> International <strong>J</strong>ournal of<strong> Mathematical and Computational Science: ISSN: 2408-154X (<em>Bangmod J-MCS</em>)</strong> is published twice a year. Articles are available in hard copy under copyrighted by The <strong>T</strong>heoretical <strong>a</strong>nd <strong>C</strong>omputational <strong>S</strong>cience (<strong>TaCS</strong>) Center since 2015 ( now named as TaCS-Center of Excellence in 2021), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Thailand. The publication is free of charge. The journal accepts several types of articles including original research, review, research extension, communication, and a short report.</p> <p>A manuscript to submitting <strong>Bangmod J-MCS</strong> must be written on one side of the paper preferably by <em><strong>Using LaTex software</strong></em>, (please use this <a href="https://drive.google.com/drive/folders/1I1qsvY8YkDNO5vcHdaNfFCuv9HLn615E?usp=sharing" target="_blank" rel="noopener"><strong>Bangmod J-MCS</strong> <strong>Template</strong></a> and PDF Bangmod J-MCS template), see more in the MANUSCRIPT SUBMISSION AND AUTHOR GUIDELINES section. Only papers submitted in English will be considered for publication.</p>https://bangmodjmcs.com/index.php/bangmodmcs/article/view/13SOLUTION OF INTEGRAL EQUATION INVOLVING INTERPOLATIVE ENRICHED CYCLIC KANNAN CONTRACTION MAPPINGS2023-09-11T09:42:01+00:00Mujahid Abbasabbas.mujahid@gcu.edu.pkRizwan Anjumrizwananjum1723@gmail.comShakeela Riasatshakeelariasat@sms.edu.pk<p>The purpose of this paper is to introduce the class of interpolative enriched cyclic Kannan contraction mappings defined on an Banach space and to prove the existence and uniqueness of fixed point of the such mappings. An example is presented to support the concept introduced herein. Moreover, an application of the main result to solve nonlinear integral equations is also given. Our result extend and generalize various results in the existing literature.</p>2023-12-31T00:00:00+00:00Copyright (c) 2023 Bangmod International Journal of Mathematical and Computational Sciencehttps://bangmodjmcs.com/index.php/bangmodmcs/article/view/12ON L-FUZZY FIXED POINT RESULTS IN G-METRIC SPACE2023-03-27T14:25:14+00:00Hafiz Muhammad Zeeshanranazeshan331@gmail.comAkbar Azamakbarazm@yahoo.comShehu Shagari Mohammedshagaris@ymail.comSafara Bibisafara.bi9231@alumnos.udg.mx<p>Among numerous efforts in progressing fuzzy mathematics, a lot of attention has been paid to studying new L-fuzzy analogues of the conventional fixed point results and their various applications. In this note, novel concepts of L-fuzzy contractions in G-metric space is examined, and sufficient conditions for the existence of L-fuzzy fixed points for such mappings are investigated. Nontrivial examples are provided to support the assumptions of our obtained theorems. It is highlighted that the main ideas studied herein refine and include some known results in the corresponding literature. Some of these special cases of our results are pointed out and analyzed.</p>2023-12-31T00:00:00+00:00Copyright (c) 2023 Bangmod International Journal of Mathematical and Computational Sciencehttps://bangmodjmcs.com/index.php/bangmodmcs/article/view/14A HYBRID CONJUGATE GRADIENT METHOD FOR UNCONSTRAINED OPTIMIZATION WITH APPLICATION2023-09-11T09:41:30+00:00Nasiru Salihunasirussalihu@gmail.comHuzaifa Aliyu Babandohababando@mau.edu.ngIbrahim Arzukaarzuka2000@gmail.comSuraj Salihusurajsalihu@gmail.com<p><span class="fontstyle0">This article considers a hybrid minimization algorithm from optimal choice of the modulating<br>non-negative parameter of Dai-Liao conjugacy condition. The new hybrid parameter is selected in such<br>away that a convex combination of Hestenes-Stiefel and Dai-Yuan Conjugate Gradient (CG) algorithms<br>is fulfilled. The numerical implementation adopts inexact line search which reveals that the scheme is<br>robust when compared with some known efficient algorithms in literature. Furthermore, the theoretical<br>analysis shows that the proposed hybrid method converges globally. The method is also applicable to<br>solve three degree of freedom motion control robotic model.</span> </p>2023-12-31T00:00:00+00:00Copyright (c) 2023 Bangmod International Journal of Mathematical and Computational Sciencehttps://bangmodjmcs.com/index.php/bangmodmcs/article/view/15APPROXIMATION METHOD FOR COMMON FIXED POINT OF A COUNTABLE FAMILY OF MULTI-VALUED QUASI-ϕ-NONEXPANSIVE MAPPINGS IN BANACH SPACES2023-09-14T09:41:15+00:00Adamu Inuwaibnyusufkoki@gmail.comSani Saleh Musasanisale32@yahoo.com<p><span dir="ltr" role="presentation">In this paper, we study a new iterative algorithm to approximate a common fixed point of a</span><br role="presentation"><span dir="ltr" role="presentation">countable family of multi-valued quasi-</span><span dir="ltr" role="presentation">φ</span> <span dir="ltr" role="presentation">nonexpansive mappings in a uniformly smooth and uniformly</span><br role="presentation"><span dir="ltr" role="presentation">convex real Banach space. We prove strong convergence theorem which improve and generalize recently</span><br role="presentation"><span dir="ltr" role="presentation">announced results in the literature.</span> <span dir="ltr" role="presentation">We also give some example to illustrate our theorem and we also</span><br role="presentation"><span dir="ltr" role="presentation">give application to zero point problem of maximal monotone mappings</span></p>2023-12-31T00:00:00+00:00Copyright (c) 2023 Bangmod International Journal of Mathematical and Computational Sciencehttps://bangmodjmcs.com/index.php/bangmodmcs/article/view/16GUARANTEED PURSUIT TIME OF A LINEAR DIFFERENTIAL GAME WITH GENERALIZED GEOMETRIC CONSTRAINTS ON PLAYERS CONTROL FUNCTIONS2023-12-13T04:12:10+00:00Ahmad Yahaya Harunaahmadyahayahaya@gmail.comAbbas Ja'afaru Badakayaajbadakaya.mth@buk.edu.ngJewaidu Rilwanjrilwan.mth@buk.edu.ng<p>In this study, simple motion differential game of one pursuer and one<br>evader is considered in Rn. Control functions of the players are subject to<br>more generalized geometric constraints. Pursuit is said to be completed<br>at a finite time Γ whenever the distance between both players at time Γ<br>is zero.We obtain an estimate for the guaranteed pursuit time Γ and construct<br>pursuer’s strategy that ensure completion of pursuit at the time Γ.</p>2023-12-31T00:00:00+00:00Copyright (c) 2023 Bangmod International Journal of Mathematical and Computational Sciencehttps://bangmodjmcs.com/index.php/bangmodmcs/article/view/17DESCENT MODIFIED CONJUGATE GRADIENT METHODS FOR VECTOR OPTIMIZATION PROBLEMS2023-12-13T03:58:00+00:00Jamilu Yahayajamiluyahaya90@gmail.comIbrahim Arzukaarzuka2000@gmail.comMustapha Isyakuimustapha2@fudutsinma.edu.ng<p>Scalarization approaches transform vector optimization problems (VOPs) into single-objective optimization. These approaches are quite elegant; however, they suffer from the drawback of necessitating the assignment of weights to prioritize specific objective functions. In contrast, the conjugate gradient (CG) algorithm provides an attractive alternative that does not require the conversion of any objective function or assignment of weights. Nevertheless, the set of Pareto-optimal solutions is obtainable. We introduce three CG techniques for solving VOPs by modifying their search directions. We consider modifying the search directions of the Fletcher-Reeves (FR), conjugate descent (CD), and Dai-Yuan (DY) CG techniques to obtain their descent property without the use of any line search, as well as to achieve good convergence properties. Numerical experiments are conducted to demonstrate the implementation and efficiency of the proposed techniques.</p>2023-12-31T00:00:00+00:00Copyright (c) 2023 Bangmod International Journal of Mathematical and Computational Sciencehttps://bangmodjmcs.com/index.php/bangmodmcs/article/view/18AN ALGORITHM FOR APPROXIMATING SOLUTIONS OF SPLIT HAMMERSTEIN INTEGRAL EQUATIONS2023-12-12T18:04:02+00:00Abdulmalik Usman Bellouabdulmalik@aust.edu.ngMonday Ogudu Nnakwemondaynnakwe@gmail.comAisha Aminu Adamaaminu@aust.edu.ng<p> In this paper, we introduce split Hammerstein integral equations of the form: u ∈ H_1 such</p> <p>that u + K_1F_1u = 0 and A(u) + K_2F_2(Au) = 0, where K_1, F_1 are maximal monotone maps defined on</p> <p>a real Hilbert space H_1, with D(K_1) = D(F_1) = H_1; K_2, F_2 are maximal monotone maps defined on a</p> <p>real Hilbert space H_2, with D(K_2) = D(F_2) = H_2 and A, a bounded linear map from H_1 to H_2. The sequence of the algorithm is proved to converge strongly to a solution of the split Hammerstein integral equation. As far as we know, this is the first algorithm whose sequence approximates a solution of a split Hammerstein integral equation in this direction. Finally, the theorem proved, improves and complements some important related recent results in the literature.</p> <p> </p>2023-12-31T00:00:00+00:00Copyright (c) 2023 Bangmod International Journal of Mathematical and Computational Science