iosr-Jm   Volume-21 ~ Issue-6 ~ Nov. – Dec. 2025

Abstract : A cone metric space generalizes the conventional notion of a metric space by introducing distance measure within a real Banach space, 𝐸 where a subset 𝑃⊂𝐸 satisfying the properties of a cone governs the structure of the metric. In the present study, the cone metric is formulated such that the cone 𝑃⊂ ℝ2 comprises vectors with non-negative components. A rigorous verification established that the space (ℝ2,𝑑) satisfies the fundamental axioms of a.....

Keywords: Cone metric spaces, Fixed point theorem, Generalized Lipschitzian condition, Iterative numerical approximation

[1]. S. I. Okeke, ''Iterative Induced Sequence On Cone Metric Spaces Using Fixed Point Theorems Of Generalized Lipschitzian Map'', International Journal Of Interdisciplinary Invention & Innovation In Research 1 (2019) 1.
Https://Stm.Eurekajournals.Com/Index.Php/IJIIIR/Article/View/270
[2]. D. Ilic & V. Rakocevic, ''Quasi-Contraction On A Cone Metric Space'', Applied Mathematics Letters 22 (2009) 728.
Http://Dx.Doi.Org/10.1016/J.Aml.2008.08.011
[3]. S. Rezapour & R. Hamlbarani, ''Some Notes On The Paper “Cone Metric Spaces And Fixed Point Theorems Of Contractive Mappings”, Journal Of Mathematical Analysis And Applications 345 (2008) 719. Http://Dx.Doi.Org/10.1016/J.Jmaa.2008.04.049
[4]. S. I. Okeke, ''Modelling Transportation Problem Using Harmonic Mean'', International Journal Of Transformation In Applied Mathematics & Statistics 3 (2020) 7. Http://Www.Science.Eurekajournals.Com/Index.Php/IJTAMS/Article/View/194
[5]. S. I. Okeke & N. P. Akpan, ''Modelling Optimal Paint Production Using Linear Programming'', International Journal Of Mathematics Trends And Technology-IJMTT 65 (2019) 47. Https://Doi.Org/10.14445/22315373/IJMTT-V65I6P508

Abstract : In this paper, we introduce a new definition of rough precompact in topological simple rough groups. We develop the fundamental properties of this concept and examine its relationship to compactness and rough complete. Further we investigate how this concept behaves under rough subgroup and product topology....

Keywords: Topological simple rough groups, Rough filter, Rough ultrafilter, Rough complete, Rough precompact.

[1] Arhangel Skii AV, Tkachenko M, Topological Groups And Related Structures, Atlantis Press And World Sci, Paris (2008).
[2] Biswas. R, Nanda. S, Rough Groups And Rough Subgroups, Bull. Pol. AC. Math., 42(1994) 251-254.
[3] Duoqian Miao, Suqing Han, Daoguo Li, And Lijun Sun, Rough Groups, Rough Subgroup And Their Properties, Rough Sets, Fuzzy Sets, Data Mining, And Granular Computing. 2005, Pp. 104-113.
[4] Dror Bar – Natan, “Ultrafilters, Compactness And The Stone-Cach Compactification”, Date: March 7, 1993.
[5] Engelking. R, General Topology (Revised And Completed), Heldermann Verlag, Berlin, 1989.
[6] Fucai Lin, Qianqian Sun, Yujin Lin, Jinjin Li, Some Topological Properties Of Topological Rough Groups, Soft Computing (2021) 25: 3441 - 3453.

Abstract : Background: This study focuses on a natural convention flow of Silicon (IV)Oxide-water nanofluid in a magnetically equipped exponentially stretching surface in a three-dimensional frame. The effects of buoyancy, nanoparticle volume fractions and magnetism on the flow velocities in all directions, temperature of flow and concentration of the nanoparticles...

Keywords: Nusselt number, Grashof number, Velocity components, Heat transfer, Thermal conductivity, nanoparticles, Magnetic field strength, Nanofluid

[1]. Choi, S. U., & Eastman, J. A. (1995). Enhancing Thermal Conductivity Of Fluids With Nanoparticles (No. ANL/MSD/CP-84938; CONF-951135-29). Argonne National Lab. (ANL), Argonne, IL (United States).
[2]. Das, S. K., Choi, S. U., & Patel, H. E. (2006). Heat Transfer In Nanofluids– A Review. Heat Transfer Engineering, 27(10), 3-19.
[3]. Elahi, F., Lotfi, M., Shafiee, M., & Daryaeipeyma, F. (2025). Investigating Thermal–Hydraulic Efficiency Of Graphene Oxide-Silica Hybrid Nanofluid Helical Coil. Heat And Mass Transfer, 61(1), 1-19.
[4]. Murshed, S. M. S., Leong, K. C., & Yang, C. (2008). Investigations Of Thermal Conductivity And Viscosity Of Nanofluids. International Journal Of Thermal Sciences, 47(5), 560-568.
[5]. Rutto, C. C., Chepkwony, I., & Oke, A. S. (2024). Numerical Comparison Of Cu And Al\(_2\) O\(_3\) Nanoparticles In An MHD Water-Based Nanofluid. Journal Of Engineering Research And Reports, 26(6), 139-146

Abstract : A cone metric space generalizes the conventional notion of a metric space by introducing distance measure within a real Banach space, 𝐸 where a subset 𝑃⊂𝐸 satisfying the properties of a cone governs the structure of the metric. In the present study, the cone metric is formulated such that the cone 𝑃⊂ ℝ2 comprises vectors with non-negative components. A rigorous verification established that the space (ℝ2,𝑑) satisfies the fundamental axioms of a cone metric, namely positivity, symmetry, and the triangle inequality. Furthermore, the study investigates the...

Keywords: Cone metric spaces, Fixed point theorem, Generalized Lipschitzian condition, Iterative numerical approximation

[1]. S. I. Okeke, ''Iterative Induced Sequence On Cone Metric Spaces Using Fixed Point Theorems Of Generalized Lipschitzian Map'', International Journal Of Interdisciplinary Invention & Innovation In Research 1 (2019) 1.
Https://Stm.Eurekajournals.Com/Index.Php/IJIIIR/Article/View/270
[2]. D. Ilic & V. Rakocevic, ''Quasi-Contraction On A Cone Metric Space'', Applied Mathematics Letters 22 (2009) 728.
Http://Dx.Doi.Org/10.1016/J.Aml.2008.08.011
[3]. S. Rezapour & R. Hamlbarani, ''Some Notes On The Paper “Cone Metric Spaces And Fixed Point Theorems Of Contractive Mappings”, Journal Of Mathematical Analysis And Applications 345 (2008) 719. Http://Dx.Doi.Org/10.1016/J.Jmaa.2008.04.049
[4]. S. I. Okeke, ''Modelling Transportation Problem Using Harmonic Mean'', International Journal Of Transformation In Applied Mathematics & Statistics 3 (2020) 7. Http://Www.Science.Eurekajournals.Com/Index.Php/IJTAMS/Article/View/194
[5]. S. I. Okeke & N. P. Akpan, ''Modelling Optimal Paint Production Using Linear Programming'', International Journal Of Mathematics Trends And Technology-IJMTT 65 (2019) 47. Https://Doi.Org/10.14445/22315373/IJMTT-V65I6P508

Abstract : This work develops a Stochastic Petri Net (SPN) simulation model, enhanced with Colored Petri Nets (CPNs) and queuing theory, to evaluate and improve the election voting process across the six Area Councils of the Federal Capital Territory (FCT), Abuja, Nigeria. Persistent electoral challenges such as prolonged voter queues, excessive waiting times, and widespread disenfranchisement motivated the need for a robust modeling framework. The study specifically...

Keywords: Stochastic Petri-Net (SPN), Voters, Election, queuing theory, voter arrival rate

[1]. Osunyikanmi, A. F. Technology, Elections And Democracy: Lessons For Nigeria. International Journal Journal Of Operational Research In Management, Social Sciences & Education, 4 (1), 199-213 (2018).
[2]. Zaitsev DA, Shmeleva TR.A Parametric Colored Petri Net Model Of A Switched Network. International Journal Of Communications, Network And System Sciences. 2011;04(01):65-76.
[3]. Adesina, Ganiyu, Elijah Omidiora, Taofeeq Badmus, And Olayinka Olaoluwa. 2016. “Simulation Based Analysis Of The Hierarchical Timed Coloured Petri Net Model Of The Nigerian Voting System.” IOSR Journal Of Computer Engineering (IOSR-JCE) 18 (6): 95–108. Https://Doi.Org/10.9790/0661-18060395108
[4]. Ugbebor, Olabisi O., And Chukwunoso Nwonye. “Modeling And Analysis Of The Queue Dynamics In The Nigerian Voting System” The Open Operational Research Journal, (2012): 6 (1), 9–22. Https://Doi.Org/10.2174/1874243201206010009
[5]. Bennett, Colin J., And David Lyon. "Data-Driven Elections: Implications And Challenges For Democratic Societies." Internet Policy Review 8, No. 4 (2019).

Abstract : This study presents a high-order and stable time-integration frame- work for the numerical solution of the time-dependent Schro¨dinger equa- tion, founded on the Spectral Deferred Correction (SDC) method. By combining SDC with a Fourier spectral discretization in space, we develop an efficient semi-implicit solver that preserves essential quantum mechan- ical invariants, including norm conservation and phase accuracy. The proposed method is applied to the simulation of a free particle’s evolution and compared against conventional schemes such as the..

[1] A. Dutt, L. Greengard, And V. Rokhlin, ”Spectral Deferred Correction Meth- Ods For Ordinary Differential Equations,” Bit Numerical Mathematics, Vol. 40, No. 2, Pp. 241–266, 2000.
[2] M. L. Minion, ”Semi-Implicit Spectral Deferred Correction Methods For Or- Dinary Differential Equations,” Communications In Mathematical Sciences, Vol. 1, No. 3, Pp. 471–500, 2003[3] K. Xu And H. Liu, ”Stability And Accuracy Of Spectral Deferred Correction Methods,” Applied Mathematics And Computation, Vol. 229, Pp. 91–109, 2014.
[4] L. N. Trefethen, Spectral Methods In Matlab. Siam, 2000.
[5] M. Tao, H. Owhadi, And J. E. Marsden, ”A Variational Formulation Of Symplectic Sdc Methods For Hamiltonian Systems,” Physics Letters A, Vol. 350, Pp. 123–130, 2006

Abstract : This project explores the impact of the Unified Payments Interface (UPI) on financial transactions and daily life in rural and semi-urban areas, with a specific focus on the Theni district. UPI, launched by the National Payments Corporation of India in 2016, has revolutionized digital payments by enabling instant, secure peer-to-peer and peer-to-merchant transactions through mobile devices linked directly to bank accounts. While UPI adoption has surged nationwide, significantly promoting financial inclusion and easing cash dependency, challenges remain in rural and semi-urban...

Keywords: Unified Payments Interface, digital payments, financial inclusion, rural, semi-urban, adoption, user satisfaction, transaction convenience, security perception, Theni district

[1]. A.Martina Franciska, D. S. (2017). An Overview On Digital Payments. 2017: International Journal Of Research.
[2]. Abhishek Kumar, R. K. (2022). Inhibitors, The Growth Trajectory Of UPI-Based Mobile Payments In India. Indian Journal Of Finance And Banking.
[3]. Amogh Das, A. D. (2022). Unified Payments Interface – A Giant In The Digital Payments Space. Mumbai: IIT Bombay Technical Report.
[4]. Anjana George, C. S. (2021). A Study On The Usage And Relevance Of Mobile Wallets In India In COVID-19 Pandemic. ERM PUBLICATIONS.
[5]. Baghla, A. (2018). A STUDY ON THE FUTURE OF DIGITAL PAYMENTS IN INDIA. IJRAR.