iosr-Jm   Volume-22 ~ Issue-3 ~ May – June 2026

Abstract : This paper develops a global ϕ-monotone system for a class of quantum stochastic differential equations (QSDE) in a locally convex space whose topology is generated by a strong family of seminorms defined on the space of observables. We study the monotone system associated with the operator appearing at the right hand side of the equivalent form of the QSDE.This is estab-lished within the framework of the Hudson-Parthasarathy formulation of quantum stochastic calculus. In addition, we establish the non-expansiveness of the associated resolvent operator and some properties of the Yosida approximations with respect to the Hausdoff topology in the locally convex space.

[1] Applebaum, D. B. And Hudson, R. L. (1984). Fermion Ito’s Formula And Stochastic Evolutions. Commun. Math. Phys. Vol 96,473-496
[2] Ayoola, E.O. (2002). Existence And Stability Results Of Strong Solutions To Quantum Stochastic Differential Equations. Stochastic Analysis And Applications, Vol 20. No. 2. 263-281
[3] Ayoola, E. O., And Gbolagade, A. W. (2005). Further Results On The Existence, Uniqueness And Stability Of Strong Solutions Of Quantum Stochastic Differential Equations. Applied Mathematics Letters, 18 (2), 219–227.
[4] Ayoola, E.O. (2008). Topological Properties Of Solution Sets Of Lipschitzian Quantum Stochastic Dfferential Inclueions. Acta Applicandae Mathematicae. Vol 100, No 1. 15-37
[5] Bauschke, H. H., And Combettes, P. L. (2017). Convex Analysis And Monotone Operator Theory In Hilbert Spaces (2nd Ed.). Springer..

Abstract : Logistic regression (LR) is a popular machine learning (ML) technique for predicting binary outcomes. It has numerous applications in fields from healthcare to customer churn. However, the performance of LR can deteriorate when the number of features (p) exceeds the number of samples (n) a problem frequently encountered in high-dimensional datasets. Under such circumstances, overfitting occurs which degrades the performance of LR in future.......

Keywords: Intrathecal; Bupivacaine; Buprenorphine; Nalbuphine; Postoperative analgesia.

[1]. Sur, P., & Candès, E. J. (2019). A Modern Maximum-Likelihood Theory For High-Dimensional Logistic Regression. Proceedings Of The National Academy Of Sciences, 116(29), 14516-14525.
[2]. Sur, P., Chen, Y., & Candès, E. J. (2019). The Likelihood Ratio Test In High-Dimensional Logistic Regression Is Asymptotically A Rescaled Chi-Square. Probability Theory And Related Fields, 175(1), 487-558.
[3]. Salehi, F., Abbasi, E., & Hassibi, B. (2019). The Impact Of Regularization On High-Dimensional Logistic Regression. Advances In Neural Information Processing Systems, 32.
[4]. An, B., & Zhang, B. (2020). Logistic Regression With Image Covariates Via The Combination Of L 1 And Sobolev Regularizations. Plos One, 15(6), E0234975.
[5]. Liu, Z. (2017). An Aggregation Method For Sparse Logistic Regression. International Journal Of Data Mining And Bioinformatics, 17(1), 85-96.

Abstract : In this article, we establish certain fixed point theorems for four pairwise self-maps that are weakly compatible in an Sb-metric space. We combine a contractive condition together with weak compatibility of pairs of mappings. Our findings expand upon and generalise some of the previous findings in the literature

Keywords: Coincidence Point; Common Fixed Point; Sb-metric Space; Weak Compatibility

[1]. Souayah, Nizar, And Nabil Mlaiki. "A Fixed Point Theorem In Sb-Metric Spaces." J. Math. Computer Sci 16.315 (2016): 131-139.
[2]. Radenovic, S., Et Al. "Common Fixed Point Of Four Maps In $ S_B $-Metric Spaces." Journal Of Linear And Topological
Algebra 5.02 (2016): 93-104.
[3]. Bakhtin, IA0748. "The Contraction Mapping Principle In Quasimetric Spaces." Functionalanalysis 30 (1989): 26-37.
[4]. Czerwik, Stefan. "Contraction Mappings In B-Metric Spaces." Acta Mathematica Et Informatica Universitatis Ostraviensis 1.1
(1993): 5-11.
[5]. S. Sedghi, N. Shobe And A. Aliouche, "A Generalization Of Fixed Point Theorems In Smetric Spaces", Matematiˇcki Vesnik.

Abstract : The present paper is to study of η-Ricci solitons on para -Kenmotsu manifolds with respect to Schouten-Van- Kampen connection. Curvature properties of such manifolds are derived and employed to obtain several structural results. Conditions involving concircular, conharmonic and projective curvature tensors are discussed for para-Kenmotsu manifolds admitting η-Ricci solitons. Furthermore, the behaviour of η-Ricci solitons on submanifolds is analyzed in the context of both Levi-Civita and Schouten-Van-Kampen connections.

Keywords: Para-Kenmotsu manifolds, Submanifolds, Schouten-Van- Kampen connection, Ricci solitons, -Ricci solitons, curvature tensoror.

[1] Adati T. And Matsumoto K., On Conformally Recurrent And Conformally Symmetric P-Sasakian Manifolds, TRU Math,13, 25-32, (1977).
[2] Bagewadi C.S. And Ingalahalli G., Ricci Solitons In Lorentzianα-Sasakian Manifolds,Acta Mathematica Academiae Paedagogicas Nyiregyhaziensis, 28(1), 5968, (2012).
[3] Bejancu A., Schouten-Van-Kampen And Vranceanu Connection On Foliated Manifolds, Anal.Univ.(AI.I.Cuza Tasi Mat.), 52, 37-60, (2006).
[4] Blaga A.M., Η - Ricci Solitons On Para-Kenmotsu Manifolds, Balkon Journal Of Geometry And Its Application, 20(1), 1-13, (2015).
[5] Calin C. And Crasmareanu M., Η-Ricci Solitons On Hopf Hypersurfaces In Complex Space Form, Roumaine Math.Pures Appl.57, 55-63(2012)..

Abstract : With the advancement of technology and the expansion of the use of artificial intelligence systems in the medical field, opportunities have been provided to improve the accuracy and efficiency of diagnosing and treating diseases........

Keywords: Multimodal approach, Answer optimization, Visual questions, Medical images, Medical text analysis, BioBERT

[1]. Almazan, J., Gordo, A., Fornés, A., & Valveny, E. (2013). Handwritten Word Spotting With Corrected Attributes. In Proceedings Of The IEEE International Conference On Computer Vision (Pp. 1017-1024).
[2]. Antol, S., Agrawal, A., Lu, J., Mitchell, M., Batra, D., Zitnick, C. L., & Parikh, D. (2015). Vqa: Visual Question Answering. In Proceedings Of The IEEE International Conference On Computer Vision (Pp. 2425-2433).
[3]. Devlin, J., Chang, M. W., Lee, K., & Toutanova, K. (2019, June). Bert: Pre-Training Of Deep Bidirectional Transformers For Language Understanding. In Proceedings Of The 2019 Conference Of The North American Chapter Of The Association For Computational Linguistics: Human Language Technologies, Volume 1 (Long And Short Papers) (Pp. 4171-4186).
[4]. Gao, H., Mao, J., Zhou, J., Huang, Z., Wang, L., & Xu, W. (2015). Are You Talking To A Machine? Dataset And Methods For Multilingual Image Question. Advances In Neural Information Processing Systems, 28.
[5]. Gupta, A. K. (2017). Survey Of Visual Question Answering: Datasets And Techniques. Arxiv Preprint Arxiv:1705.03865..

Abstract : Background: Supraclavicular brachial plexus block is commonly used for upper limb surgeries because it provides effective intraoperative anesthesia and postoperative analgesia. To improve the quality and duration of the block, adjuvants like clonidine and dexmedetomidine (alpha-2 adrenergic agonists) are added to local anesthetics such as bupivacaine. These adjuvants help in prolonging sensory and motor block and reducing postoperative pain......

Keywords: Supraclavicular brachial plexus block; Dexmedetomidine; Clonidine; Bupivacaine; Postoperative analgesia; sensory block; motor block

[1]. Damien B, Murhy Collin JL, Cartney Vincent WS. Novel Analgesic Adjuvants For Brachial Plexus Block: A Systemic Review. Anesth Analg. 2000;90:1122–1128.
[2]. Esmaoglu A, Et Al. Dexmedetomidine Vs. Clonidine As Adjuvant To Local Anaesthetics In Brachial Plexus Block: A Randomized Controlled Trial. J Clin Anesth. Https://Www.Google.Com/Search?Q=2010;22(5):371-375.
[3]. Marhofer P, Et Al. Role Of Alpha2-Agonists In Regional Anaesthesia. Br J Anaesth. 2011;106(6):830-840.
[4]. El-Hennawy AM, Abd-Elwahab AM, Abd-Elmaksoud AM, El-Ozairy HS. Addition Of Clonidine Or Dexmedetomidine To Bupivacaine Prolongs Caudal Analgesia In Children. Br J Anaesth. 2009;103:268–274.
[5]. Gandhi R, Et Al. A Comparative Study Of Clonidine Versus Dexmedetomidine As An Adjuvant To Bupivacaine In Supraclavicular Brachial Plexus Block. J Anesth Clin Pharmacol. Https://Www.Google.Com/Search?Q=2017;33(1):70-74.

Abstract : The classical secant approach and its significant variations for solving nonlinear equations are examined in this article. To improve convergence accuracy and computing efficiency, a modified secant approach with an adaptive weighting mechanism and higher-order finite difference information is suggested. To speed up the convergence process, the suggested approach makes use of a weighted mix of secant approximations and higher-order correction terms. Under appropriate assumptions on the nonlinear function, convergence and error analyses......

Keywords: Secant Method, Convergence, Error analysis, Hybrid Methods.

[1]. Manoj Kumar, Akhilesh Kumar Singh And Akansha Srivastava, “Various Newton-Type Iterative Methods For Solving Nonlinear Equations”, Journal Of The Egyptian Mathematical Society, Vol. 21(3), 2013, Pp. 334-339.
[2]. A. Hasan, “Numerical Study Of Some Iterative Methods For Solving Nonlinear Equations”, Int. J. Eng. Sci. Invent. Vol. 5, 2016, Pp. 1–10.
[3]. A. Hasan, N. Ahmad, “ Compartive Study Of A New Iterative Method With That Newton’s Method For Solving Algebraic And Transcesental Equations”, Int. J. Comput. Math. Sci., Vol. 4, 2015, Pp. 32–37.
[4]. R. B. Srivastava, S. Srivastava, “Comparison Of Numerical Rate Of Convergence Of Bisection”, Newton And Secant Methods, J. Chem. Biol. Phys. Sci., Vol. 2, 2011, Pp. 472–479.
[5]. G. Moazzam, A. Chakraborty, A. Bhuiyan, “A Robust Method For Solving Transcendental Equations”, Int. J. Comput. Sci., Vol. 9(2), 2012, Pp. 413–419.

Abstract : The idea of the wisdom of the crowd suggests that when a diverse group of people make independent guesses, their combined answer can be surprisingly accurate. This study explores that idea by asking whether a mixed group of individuals can correctly estimate the number of jellybeans in a jar just by looking at it. A total of 173 participants from different age groups and locations shared their individual estimates. The study also looks at whether age has any effect on how accurate these guesses are......

[1]. Fama, E. F. (1970). Efficient capital markets: A review of theory and empirical work. Journal of Finance, 25(2), 383–417. https://doi.org/10.2307/2325486
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[3]. Hong, L., & Page, S. E. (2004). Groups of diverse problem solvers can outperform groups of high-ability problem solvers. Proceedings of the National Academy of Sciences, 101(46), 16385–16389. https://doi.org/10.1073/pnas.0403723101
[4]. Howe, J. (2006). The rise of crowdsourcing. Wired Magazine, 14(6).
[5]. Larrick, R. P., & Soll, J. B. (2006). Intuitions about combining opinions: Misappreciation of the averaging principle. Management Science, 52(1), 111–127. https://doi.org/10.1287/mnsc.1050.0459

Abstract : The sum of distances between all unordered pairs of vertices in a connected graph is called the Wiener index. In
this paper, we found the Wiener polynomial and index of splitting graph of sunlet graph .
AMS Classification: 05C12, 92E10.

Keywords: Graph theory, Wiener index, Wiener polynomial

[1]. A.A Dobrynin, R.Entringer, I. Gutman; Wiener Index Of Trees Acta Appl. 66(2001)211-249.
[2]. An.X And Wu.B. The Wiener Index Of Kth Power Of A Graph, Appl.Math.Lett.21, 436-440,2008.
[3]. Balakrishnan, Sridharan. R. N And Vishwanathan. Kiyer, Wiener Index Of Graphs With More Than One Cut Vertex, A Ppl.Math.
Lett 21,922-927,2008.
[4]. Bondy, J.A, And Murthy. U.S.R, Graph Theory With Applications (Macnydmillan, London,1976)
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Abstract : Background: Let G be a finite, simple, undirected, and non-trivial graph. A fuzzy graph is said to admit tri-magic labeling if the number.....

Key Words: Fuzzy Tri-Magic Labeling; Diameter of a graph; Tree

[1]. Gallian JA. A Dynamic Survey Of Graph Labeling. The Electronics Journal Of Combinatorics 2017; 17: # DS6.
[2]. Harary F. Graph Theory. New Delhi: Naraso Pulishing House Pvt. Ltd.
[3]. Sumathi P And Monigeetha C. Fuzzy Tri-Magic Labeling Of Some Star Related Graphs. Journal Of Emerging Technologies And Innovative Research (JETIR) 2019; 6(1): 661–667, ISSN 2349-5162.
[4]. Sumathi P And Esther Felicia R. Enresdowedness Of Some Caterpillar Graphs. International Journal Of Pure And Applied Mathematics 2018; 118(10): 73–86.
[5]. Harary F. Graph Theory. New Delhi: Narosa Publishing House Pvt. Ltd., 1988.

Abstract : It has always been interesting to find rational approximate fractions like p/q for any irrational number where p
,q are integers. The methods involve finding approximations by their decimal values or by resolving them into continued fractions and taking successive convergents for each irrational number. In my present paper I have derived some formulas which are able to give approximate fractions directly without individually resolving them into continued fractions..

Key Words: Irretional numbers , rational approximations basic formula , approximation formulas.

[1]. Hall, H. S. And Knight, S. R., Higher Algebra..