iosr-Jm   Volume-21 ~ Issue-3 ~ May – Jun. 2025

Abstract : In this paper, we establish the some common fixed point theorems in rectangular S-metric spaces, an advanced generalization of S-metric spaces. We develop new common fixed point theorems that integrate and extend various well-known results in fixed point theory. Our findings are further supported by illustrative examples.

Keywords: Rectangular metric spaces; S-metric spaces; Rectangular S-metric spaces.

[1] O. K. Adewale, C.Iluno, Fixed Point Theorems On Rectangular S-Metric Spaces, Scientific African, 16 (2022) 1-10.
[2] M. Abbas, G. Jungck, Common Fixed Point Results For Non-Commuting Mappings Without Continuity In Cone Metric Spaces, J. Math. Anal. Appl. 341, (2008), 416–420.
[3] B. C. Dhage, Generalized Metric Spaces Mappings With Fixed Point, Bull. Calcutta Math. Soc.84, (1992) 329–336.
[4] M. Frechet, Sur Quelques Points Du Calcul Fonctionnel, Rendiconti Del Circolo Matematico Di Palermo 22 (1906) 1–72.
[5] S. Gahler, 2-Metrische Raume Und Ihre Topologische Struktur, Mathematishe Nachrichten 26 (1963) 115–148.

Abstract : In the last two to three decades, significant research has focused on special functions related to statistical distributions. This includes the Generalized Hurwitz-Lerch Zeta Beta type-2 distributions and Gamma distribution, generalized hypergeometric distributions, Parabolic cylinder distribution, generalized Hurwitz Zeta Beta prime distributions, Mathieu distribution, Plank distribution, Mittag-Leffler distribution, Hurwitz Lerch Zeta distribution.......

Keywords: Special functions, Statistical distributions, Generalized Hurwitz-Lerch Zeta, Gamma Distribution, Hypergeometric Distributions, Parabolic Cylinder Distribution, Moment Generating Function, Survival Function, Hazard Rate Function, Method of Moments.

[1] Mathai, A. M. (1966). Some Characterizations Of The One-Parameter Family Of Probability Distributions. Canadian Mathematical Bulletin, 9(1), 95-102.
[2] Mathai, A. M., & Saxena, R. K. (1968). Distributions Having The Gamma Properties. Metrika, 13(1), 10-16.
[3] Mathai, AM* & Saxena, R. (1969). Applications Of Special Functions In The Characterization Of Probability Distributions. South African Statistical Journal, 3(1), 27-34.
[4] Mathai, A. M., & Moschopoulos, P. G. (1991). On A Multivariate Gamma. Journal Of Multivariate Analysis, 39(1), 135-153.
[5] A.M. Mathai, A Handbook Of Generalize Special Functions For Statistical And Physical Sciences, Oxford University Press, Oxford, (1993)

Abstract : Resume Contexte: la perception des élèves finalistes et de leurs parents face aux résultats de jury national demeure moins satisfaisante suite aux échecs après proclamation des résultats. Cette situation engendre le stress qui entraine un état de frustration, de déception voir de choc auprès des élèves et de leurs parents suite au frais engagés en faveur des études des enfants. L’objectif de notre étude a été d’explorer comment les élèves et leurs parents perçoivent-ils les résultats du jury national et les implications qui en découlent..........

[1] Mélissa B.,Pierre T., Cynthia M. Et Al. (2025): Perception De Membres De La Communauté Educative Des Facteurs De Réussite Et D’échec Des Elèves Issus De L’immigration D’écoles Secondaires Défavorisées Et Pluriethniques Montréalaises ; Online Publication: June 17, 2019 ; URI;Https://Id.Erudit.Org/Iderudit/1060861arcopiedan Error Has Occurred, DOI, Https://Doi.Org/10.7202/1060861arcopiedan Error Has Occurred, Online ; 19/05/2025
[2] Claudia S. Et Raluca SM., L’échec Scolaire Dans Une Ecole Internationale. (2017), Https://Doi.Org/10.3917/Pp.046.0071; Online ; 19/05/2025
[3] Par Mathias Millet, L'« Echec » Des Etudiants De Premiers Cycles Dans L'enseignement Supérieur En France. Retours Sur Une Notion Ambiguë Et Descriptions Empiriques, Date De Mise En Ligne : 18/12/2014,
Https://Doi.Org/10.3917/Dbu.Romai.2012.01.0069; Online ; 17/05/2025
[4] Donata M. (2012) ; Performance, Apprentissage Et Santé Des Etudiants, : Https://Doi.Org/10.3917/Seve.035.0051; Online ; 17/05/2025
[5] Dupont Et All., 2020 : Analyse Approfondie Sur La Perception De L’équité Dans Le Processus D’évaluation Académique, Ed. PUF, France-Paris. Online ; 21/05/2025

Abstract : The functions of universities and colleges today are no longer limited to the acquisition of professional knowledge and training of skills, but have further become a crucial phase for students to learn occupational safety and health (OSH) education and develop personal safety protection awareness. After entering the workforce, OSH education also becomes essential knowledge for every employee. This study simulates the implementation of OSH training courses at universities and colleges in southern Taiwan under time constraints. In consideration of maximizing school participation, we use scheduling algorithms to achieve optimal allocation.

Key Word: Occupational Safety and Health Training; Optimization; Scheduling Algorithm

[1]. Y.-H. Chen, Job Allocation Considering Fairness And Sequence-Dependent Setup Times, Master’s Thesis, National Taiwan University, 2021.
[2]. M.-H. Hung, Using Genetic Algorithm In Cnc Processing Scheduling Problems Of Diecasting Industry, Master’s Thesis, National Pingtung University Of Science And Technology, 2022.
[3]. Ministry Of Education, University Affairs Information Disclosure Platform, 2017.

Abstract : In the current competitive and dynamic business world, decision-making at the strategic level is key to deciding the success and survival of companies. Game theory, a mathematical tool for the analysis of strategic interaction between rational decision-makers, provides valuable tools to represent and predict competitive behaviour in markets. This research discusses the use of game theory in the development of competitive business strategies, highlighting its utility in expecting the moves of competitors, minimizing pricing strategies, risk management, and cooperation or competition.....

[1] Osborne, M. J., & Rubinstein, A. (1994). A Course In Game Theory. MIT Press.
[2] Tirole, J. (1988). The Theory Of Industrial Organization. MIT Press.
[3] Varian, H. R. (2014). Intermediate Microeconomics: A Modern Approach (9th Ed.). W.W. Norton & Company.
[4] Dixit, A., & Nalebuff, B. (1991). Thinking Strategically: The Competitive Edge In Business, Politics, And Everyday Life. W.W. Norton & Company.
[5] Fudenberg, D., & Tirole, J. (1991). Game Theory. MIT Press.

Abstract : This study conducts an in-depth analysis and improvement of the asymptotic properties of the prime sequence.....

Key Word: Prime counting function; Prime sequence; Sum of primes; Prime numbers.

[1]. Axler C. On a sequence involving prime numbers. Journal of Integer Sequences.2015;18:Article 15.7.6.
[2]. Axler C. Improving the estimates for a sequence involving prime numbers. Notes on Number Theory and Discrete
Mathematics.2019; 25(1):8-13
[3]. Axler C. On the sum of the first n prime numbers, Journal de Théorie des Nombres de Bordeaux. 2019;31:293–311.
[4]. Axler C. Effective estimates for some functions defined over primes. Integers: The Electronic Journal of Combinatorial Number
Theory. 2024;24:Paper No.A34.
[5]. Dusart P. Autour de la fonction qui compte le nombre de nombres premiers. Ph.D. Thesis, Limoges, 1998..

Abstract : This paper explores the completion of positive semidefinite (PSD) matrices through graph representation, emphasizing the fundamental properties of PSD matrices and their relevance in various applications, including statistics, machine learning, and optimization. Positive semidefinite matrices, characterized by non-negative eigenvalues, play a critical role in ensuring stability and feasibility in numerous mathematical models. The challenge of matrix completion....

Key Word: Positive Semidefinite Matrix , Matrix Completion , Graph Theory , Eigenvalues Covariance Matrix , Sparse Matrices

[1]. Harrow, A. W., Hassidim, A., & Lloyd, S. (2009). Quantum algorithm for linear systems of equations. Physical Review Letters, 103(15), 150502.
[2]. Childs, A. M., Kothari, R., & Somma, R. D. (2017). Quantum linear systems algorithm with exponentially improved dependence on precision. SIAM Journal on Computing, 46(6), 1920-1950
[3]. Lin, L., & Tong, Y. (2020). Optimal quantum eigenstate filtering with application to solving quantum linear systems. Quantum, 4, 361
[4]. Wossnig, L., Zhao, Z., & Prakash, A. (2018). Quantum linear system algorithm for dense matrices. Physical Review Letters, 120(5), 050502.
[5]. Bravo-Prieto, C., LaRose, R., Cerezo, M., Subaşı, Y., Cincio, L., & Coles, P. J. (2019). Variational quantum linear solver: A hybrid algorithm for linear systems. arXiv:1909.05820..

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Abstract : In this paper, we establish the some common fixed point theorems in rectangular S-metric spaces, an advanced generalization of S-metric spaces. We develop new common fixed point theorems that integrate and extend various well-known results in fixed point theory. Our findings are further supported by illustrative examples

Key Word: Rectangular metric spaces; S-metric spaces; Rectangular S-metric spaces

[1] O. K. Adewale, C.Iluno, Fixed point theorems on rectangular S-metric spaces, Scientific African, 16 (2022) 1-10.
[2] M. Abbas, G. Jungck, Common fixed point results for non-commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341, (2008), 416–420.
[3] B. C. Dhage, Generalized metric spaces mappings with fixed point, Bull. Calcutta Math. Soc.84, (1992) 329–336.
[4] M. Frechet, Sur quelques points du calcul fonctionnel, Rendiconti del Circolo Matematico di Palermo 22 (1906) 1–72.
[5] S. Gahler, 2-Metrische raume und ihre topologische struktur, Mathematishe Nachrichten 26 (1963) 115–148.