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.