iosr-Jm   Volume-22 ~ Issue-4 ~ Jul. – Aug. 2026

Abstract :We present a necessary and sufficient condition for hypercyclicity of a basic elementary operator

Keywords: Hypercyclicity, Hypercyclicity criterion

[1]. Ansari, S. (1997). Existence Of Hypercyclic Operators On Topological Vector Spaces. J. Funct. Anal., 148:384-390.
[2]. Chan, K. (2001). The Density Of Hypercyclic Operators On A Hilbert Space. J. Operator Theory,47:131–143.
[3]. Clifford, O. (2019). Dynamics Of Generalised Derivations And Elementary Operators. Complex Analysis And Operator Theory, 13:257–274.
[4]. Farrukh, M. And Octabek, K. (2017). Hyper-Cyclic And Supercyclic Linear Operators On Non-Archmedian Vector. Bulletin Belgium Math. Soc., 12:10–15.
[5]. Grivaux, S. (2005). Hypercyclic Operators,Mixing Operators And Bounded Step Theorem. J.Math. Anal.Appl., 54:147–168

Abstract : Scheduling is a fundamental problem in manufacturing systems, where effective scheduling decisions directly influence production efficiency and overall profitability. This paper proposes a digraph-based optimization algorithm for maximum-profit scheduling. An illustrative example is provided to demonstrate the effectiveness of the proposed algorithm. The computational results indicate that the proposed method successfully identifies the maximum-profit path by efficiently....

Keywords: Digraph; Maximum-Profit Scheduling; Optimization Algorithm

[1]. Baker, K. R., & Trietsch, D. Principles Of Sequencing And Scheduling. John Wiley & Sons, 2009.
[2]. Pinedo, M. L. Scheduling: Theory, Algorithms, And Systems, 6th Ed. Springer, 2022.
[3]. Bondy, J. A., & Murty, U. S. R. Graph Theory. Springer, 2008..

Abstract : Image denoising is a fundamental task in image analysis and computer vision applications. Traditional frequency-domain filtering methods often use fixed filter parameters, which may not provide optimal performance for images corrupted with different noise levels. This paper presents an Adaptive Multi-Scale FFT-Based Image Denoising and Enhancement framework. The proposed method decomposes the image into multiple scales, performs Fast Fourier Transform (FFT) at each scale, and adaptively adjusts filtering parameters according to noise characteristics...

Keywords: Fast Fourier transformation, Image Denoising, Frequency Domain Filtering, Multi-Scale Analysis, Image Enhancement, PSNR, MSE, SSIM.

[1]. R. C. Gonzalez And R. E. Woods, Digital Image Processing, 4th Edition, Pearson Education, 2018.
[2]. A. V. Oppenheim And R. W. Schafer, Discrete-Time Signal Processing, 3rd Edition, Pearson Education, 2010.
[3]. J. W. Cooley And J. W. Tukey, “An Algorithm For The Machine Calculation Of Complex Fourier Series,” Mathematics Of Computation, Vol. 19, No. 90, Pp. 297–301, 1965.
[4]. B. Zitová And J. Flusser, “Image Registration Methods: A Survey,” Image And Vision Computing, Vol. 21, No. 11, Pp. 977–1000, 2003.
[5]. H. Foroosh, J. B. Zerubia, And M. Berthod, “Extension Of Phase Correlation To Subpixel Registration,” Ieee Transactions On Image Processing, Vol. 11, No. 3, Pp. 188–200, 2002.

Abstract : In this paper, the first-order wave equation and the second-order wave equation is solved by weighted SNA transformation[5], where the SNA transform is defined by...

Keywords: weighted SNA transform; wave equation; transport equation; Fourier transform; testing-function space; generalized function; D’Alembert solution.

[1]. Zemanian, A. H. (1968). Generalized Integral Transformations. Interscience Publishers, New York.
[2]. Bateman, H. (1994). Partial Differential Equations Of Mathematical Physics. Dover Publications, New York.
[3]. Dass, H. K., & Verma, R. (1997). Mathematical Physics. S. Chand Publishing, New Delhi.
[4]. Sneddon, I. N. (1972). The Use Of Integral Transforms. Mcgraw-Hill, New York.
[5]. Kumar, S., Shree, N., & Kumar, A. (2026). Weighted SNA Integral Transform And Its Properties. IOSR Journal Of Mathematics (IOSR-JM), 22(3), 41–53. Https://Doi.Org/10.9790/5728-2203024153.

Abstract : This paper examines the relationship between oil consumption of OPEC and global oil prices spanning from 1960 to 2020 using Pooled Mean Group Cointegration Method. Results of the study indicated that in a long run, there is no relationship between oil consumption of OPEC and global oil prices with error correction term and p-value of 0.217 and 0.001 respectively. This implies that the speed of adjustment to long run convergence following a disturbance in the long run is 21.7%. This result offers empirical evidence to the policies OPEC has put in place since it was established to ensure that all member states secure hemselves against global oil price fluctuations.

Keywords: Oil Consumption, Oil Prices, Pooled Mean Group Estimate, Im Persarin and Shin Test, OPEC

[1]. Abbasinejad, H., F. Gudarzi, Yazdan. And G. Asghari, E., 2012. The Relationship Between Energy Consumption, Energy Prices And Economic Growth: Case Study (Opec Countries). OPEC Energy Review, 36(3): 272-286.
[2]. Adom, P. And Kwakwa, P. (2014) ‘Effects Of Changing Trade Structure And Technical Characteristics Of The Manufacturing Sector On Energy Intensity In Ghana’, Renewable And Sustainable Energy Reviews, Vol. 35, Pp.475–483
[3]. Appiah G.K, Oduro E., Benn S. (2020) “Empirical Analysis Of Crude Oil Consumption And Price On Ghana’s Economic Growth” Open Science Journal 5(4)
[4]. Cantah, W. And Asmah, E. (2015) ‘Crude Oil Production And Growth Output: The Case Of Ghana’, International Journal Of Economics, Commerce And Management, Vol. 3, No. 5, Pp.470–498
[5]. Doric, B. And Dimovski, V. (2018) ‘Managing Petroleum Sector Performance – A Sustainable Administrative Design’, Journal Of Economic Research, Vol. 31, No. 1, Pp.119–138 P. 1690-1723.

Abstract : Classes of operators in Hilbert spaces have recently been studied in relation to quasi-similarity. Quasi-similarity has been shown to be an equivalence relation. Further, it has been established that normality, hyponormality, 𝑀-hyponormality, 𝑤-hyponormality, 𝑙𝑜𝑔-hyponormality and (𝑝,𝑘)-quasihyponormality are all preserved by quasi-similarity. It has also been demonstrated how quasi-similarity relates to other equivalence relations such as similarity and almost similarity. Specifically, similarity implies quasi-similarity which in turn implies almost similarity......

[1]. Halmos, P. R. (2017). Introduction To Hilbert Space And The Theory Of Spectral Multiplicity. Courier Dover Publications.
[2]. Helmberg, G. (2008). Introduction To Spectral Theory In Hilbert Space. Courier Dover Publications.
[3]. Jibril, A. A. (1996). On Almost Similar Operators. Arabian Journal For Science And Engineering, 21(3), 443-449.
[4]. Kamau, F., Wabomba, S. M., & Ndung’u, K. J. (2024). On Browder Spectrum And Quasisimilarity Of M-Hyponormal Operators In Hilbert Spaces.
[5]. Lilian, A., Wabomba, M. S., & Ndung’u, K. J. (2023). On Unitary Quasi-Equivalence And Partial Isometry Operators In Hilbert Spaces. Journal Of Advances In Mathematics And Computer Science, 38(10), 113-20.

Abstract : The analysis of experimental systems with multiple parameters demands a formalized mathematical approach that can account for the relationships among the various operating conditions. In this paper, a new approach using a combination of rough set theory and graph theory is proposed for representing and analyzing experimental data of desiccant-based air-conditioning system. The experimental data set is first transformed into a discrete form using a coding process before a graph is constructed for each parameter based on the defined edges using similarity relations among the operating conditions. A unified form of the graphs is achieved using the.....

Keywords: Graph Theory, Rough Set, Data-to-Graph Transformation, Graph Reduction, Information Systems, Discrete Mathematics.

[1]. J. A. Bondy And U. S. R. Murty, Graph Theory. New York, Ny, Usa: Springer, 2008.
[2]. R. Diestel, Graph Theory, 5th Ed. Berlin, Germany: Springer, 2017.
[3]. D. B. West, Introduction To Graph Theory. Upper Saddle River, Nj, Usa: Prentice Hall, 2001.
[4]. N. Deo, Graph Theory With Applications To Engineering And Computer Science. Englewood Cliffs, Nj, Usa: Prentice-Hall, 1974.
[5]. B. Bollobás, Modern Graph Theory. New York, Ny, Usa: Springer, 1998.

Abstract : In this research we can perform numerical simulation of shallow water (Saint-Venant) equations for dam break flow problem. The shallow water equations are system of hyperbolic partial differential equation. This study presents a comparative analysis of dam-break models under different flow regimes using a higher-order numerical method. The governing equations are solved in conservative form, and the numerical scheme is employed to improve solution accuracy while minimizing numerical diffusion and spurious oscillations. The performance of the....

Keywords: Dam-break problem, Shallow Water equations, Saint-Venant equations, Higher-order method, Flow regimes, Numerical simulation.

[1]. Bellos V And Hrissanthou V, 2011. Numerical Simulation Of Dam Break Flood Wave. European Water 33: P: 45-53.
[2]. Fayssal Benkhaldoun And Mohammed Seaid, 2010. A Simple Finite Volume Method For Shallow Water Equations. Journal Of Computational And Applied Mathematics 234, P: 58-72.
[3]. Jafar Bagheri And Samir K Das, 2013. Modeling Of Shallow Water Equations By Using Implicit Higher Order Compact Scheme With Application To Dam Break Problem. Applied And Computational Mathematics, Vol-2(3).
[4]. M.F. Ahmed, M. Mamat, W.B Wan Nik And A. Kartono, 2013. Numerical Method For Dam Break Problem By Using Godunov Approach. App. Math. And Comp. Intel., Vol-2(1), Page: 95-107.
[5]. M. M. Rahaman, L. S. Andallah & M. S. Alam, 2017. Numerical Solution Of Advection Diffusion Reaction Equation Coupled With Shallow Water Equations. International Journal Of Scientific And Engineering Research, Vol. 8(11), P-256-262.
[6]. Wasim Karim, Fayaz A Khan, Muhammad Alam & Sajjad Ali, 2021. Simulation Of Dam Break Flood Wave And

Abstract : Background Tuberculosis is a global endemic that claims millions of lives every year. It is an infectious airborne disease caused by bacteria and is transmitted through coughing and sneezing. Materials and Methods The study utilized secondary data obtained from the Ministry of health through the National TB Program. The study developed.....

Keywords: Tuberculosis, Mathematical Modelling, Control Measures, Stability Analysis, Reproduction Number, Compartmental model

[1]. Ayele, T., Doungmo, E., & Mugisha, S. (2024). Mathematical Modeling Of Tuberculosis With Drug Resistance In The Presence Of Optimal Control: A Case Study In Ethiopia. Journal Of Biological Systems, 32(4), 1541–1585.
Https://Doi.Org/10.1142/S021833902440
[2]. Centers For Disease Control And Prevention. (2022). Tuberculosis (TB): Causes, Transmission, And Prevention. CDC.
Https://Www.Cdc.Gov/Tb
[3]. Chávez , J . , Gökçe, A . , Götz , T . , & Gürbüz , B . (2025). An SIRS-Model Considering Waning Efficiency And Periodic Re-Vaccination. Arxiv. Https://Arxiv.Org/Abs/2501.17305
[4]. Dye, C., Williams, B., Espinal, M., & Raviglione, M. (2009). Erasing The World’s Slow Stain: Strategies To Beat Multidrug-Resistant Tuberculosis. Science, 295(5562), 2042–2046. Https://Doi.Org/10.1126/Science.1063814
[5]. Fine, P. (1995). Variation In Protection By BCG: Implications Of And For Heterologous Immunity. The Lancet, 346(8986), 1339–1345. Https://Doi.Org/10.1016/S0140-6736(95)92348-9

Abstract : This paper extends the Singh-Chatterjea fixed point theorem to double-controlled metric-like spaces. A Singh-Chatterjea Double Controlled (SCDC) contraction is introduced, in which the contraction condition applies to the 𝑃-th iterate of the mapping rather than the mapping itself. Existence and uniqueness theorems for fixed points are established, and a novel convergence condition is proposed based on the supremum of the limit of the control functions over the orbit of 𝑇. Several corollaries are provided, encompassing known results in 𝑏-metric and standard metric-like spaces, thereby demonstrating that the main result generalizes the work of Bekri and Fabiano (2025).

Keywords: Fixed point; Singh-Chatterjea contraction; Double controlled metric-like space; Iterative method; Existence and uniqueness.

[1] Banach, S. (1922). Sur Les Opérations Dans Les Ensembles Abstraits Et Leur Application Aux Équations Intégrales. Fundamenta Mathematicae, 3, 133-181.
[2] Bekri, Z., & Fabiano, N. (2025). Fixed Point Theory For Singh-Chatterjea Type Contractive Mappings. Arxiv Preprint Arxiv:2510.11975.
[3] Chatterjea, S. K. (1972). Fixed-Point Theorems. Comptes Rendus De l’Académie Bulgare Des Sciences, 25, 727-730.
[4] Singh, S. P. (1977). On Fixed Points Of Kannan Mappings. Indian Journal Of Pure And Applied Mathematics, 8, 896-900.

Abstract : This study explores the impact of technology-supported collaborative learning models on secondary school students’ mathematics problem-solving skills. It focuses on how digital tools integrated with group-based learning strategies influence students’ cognitive development, engagement, and conceptual understanding in mathematics. The increasing adoption of educational technology has transformed traditional classrooms into interactive learning environments where students actively construct knowledge through collaboration.
The study highlights that technology-supported collaboration enhances mathematical reasoning, encourages peer discussion, and......

Keywords: Collaborative learning, mathematics education, problem-solving skills, educational technology, secondary education, digital learning platforms, constructivist learning, peer interaction, classroom innovation, blended learning.

[1]. Johnson, D. W., & Johnson, R. T. (1999). Learning Together And Alone: Cooperative, Competitive, And Individualistic Learning. Allyn & Bacon.
[2]. Johnson, D. W., Johnson, R. T., & Holubec, E. J. (2008). Cooperation In The Classroom. Interaction Book Company.
[3]. Slavin, R. E. (2011). Instruction Based On Cooperative Learning. In R. E. Mayer & P. A. Alexander (Eds.), Handbook Of Research On Learning And Instruction (Pp. 344–360). Routledge.
[4]. Vygotsky, L. S. (1978). Mind In Society: The Development Of Higher Psychological Processes. Harvard University Press.
[5]. Hattie, J. (2009). Visible Learning: A Synthesis Of Over 800 Meta-Analyses Relating To Achievement. Routledge.
[6]. National Council Of Teachers Of Mathematics. (2000). Principles And Standards For School Mathematics. NCTM..