• Spectral Analysis of Nonlinear Operators: Theory and Applications to Neural Networks and Optimization 

  Obogi, Robert Karieko; Mogoi N, Evans (Archives of Current Research International, 2025)

  This paper presents a nonlinear spectral framework for analyzing monotone and nonexpansive operators in Banach and Hilbert spaces. We construct a nonlinear spectral resolution for maximal monotone operators using Yosida ...
• NORM ATTAINMENT FOR COMPACT OPERATORS ON REFLEXIVE BANACH SPACES 

  Obogi, Robert Karieko; Mogoi N, Evans (Annals of Mathematics and Computer Science, 2025)

  This paper explores the norm attainment of compact operators on reflexive Banach spaces, emphasizing the interplay between geometric and structural properties. Key results include characterizations of norm attainment through ...
• Fake Profile Identification on Online Social Networks 

  Awuor, Fredrick Mzee; Maake, Benard Magara; Muraya, Catherine Njoki (Journal of Language, Technology & Entrepreneurship in Africa (JOLTE), 2021)

  Online social networks are web-based applications that allow user to communicate and share knowledge and information. The number of users who make use of these platforms are experiencing rapid growth both in profile ...
• Security threats affecting user-data on transit in mobile banking applications: A review 

  Awuor, Fredrick Mzee; Ogalo, James (International Journal of Computer Engineering Research, 2023)

  Mobile banking technology is beneficial to customers because it is convenient for conducting bank services remotely. Newer channels used for mobile banking such as mobile banking applications have been developed as an ...
• Model for security controls in web content management system 

  Awuor, Fredrick Mzee (Journal of Internet and Information Systems, 2022-01)

  Web content management systems (WCMS) are systems used in creating, publishing, customizing and designing website services by web administrators toward delivering user-centric web applications and services. Such applications ...
• Review of Algorithms for Securing Data Transmission in Mobile Banking 

  Awuor, Fredrick Mzee (Scientific Research Publishing, 2023)

  With the dawn of mobile banking applications, bank customers can now register for M-banking and download applications that aid them to access services from the bank server remotely from their mobile devices. The conversation ...
• Vocational education in the academic drift or arrogance of academia in front of planetary crisis 

  Wadende, Pamela (Nordic Journal of Vocational Education and Training, 2025)

  The article questions the feasibility of the universalist discourse on academic drift in vocational education from the perspective of the Global North-South configuration. We will discuss examples from Finland, Bangladesh, ...
• Types and effectiveness of mental health promotion programmes for young people in sub-Saharan Africa: A systematic review 

  Wadende, Pamela (Cambridge University Press, 2025-01-09)

  Studies show that mental health promotion is an effective strategy that can reduce the burden of mental health disorders and improve overall well-being in both children and adults. In addition to promoting high levels ...
• Association between coagulation indicators and menorrhagia among women in Kenya 

  Marabi Maruti, Phidelis; Musyoki, Stanslaus Kiilu; Monari, Fred Nyamitago; Kosiyo, Paul M; Ouma, Collins (African Journal of Laboratory Medicine, 2024-09-17)

  Background: Despite the significant burden of menorrhagia (bleeding > 80 mL every menstrual cycle) among women in Western Kenya, it remains unknown whether coagulation disorders are an important underlying cause of this ...
• Thyroid and reproductive hormonal factors associated with menorrhagia among women in Kenya 

  Kosiyo, Paul M; Marabi Maruti, Phidelis; Musyoki, Stanslaus Kiilu; Ouma, Collins (African Journal of Laboratory Medicine, 2025-04-10)

  Background: Menorrhagia, characterised by menstrual blood loss exceeding 80 mL per cycle, is a common issue in Western Kenya. However, there are insufficient data on how hormonal disorders contribute to its occurrence. ...
• On the Number of Cyclic Codes Over Z31 

  Ondiany, John Joseph O.; Obogi, Robert Karieko; Mude, Lao Hussein; Monari, Fred Nyamitago (Journal of Advances in Mathematics and Computer Science, 2024-07-10)

  Let n be a positive integer, yn 􀀀 1 cyclotomic polynomial and Zq be a given finite field. In this study we determined the number of cyclic codes over Z31. First, we partitioned the cyclotomic polynomial yn 􀀀1 using cyclotomic ...
• On norms of derivations implemented by self-adjoint operators 

  Obogi, Robert Karieko (Open Journal of Mathematical Analysis, 2023-06-30)

  In this paper, we concentrate on norms of derivations implemented by self-adjoint operators. We determine the upper and lower norm estimates of derivations implemented by self-adjoint operators.The results show that the ...
• The geometry and norm-attainability of operators in operator ideals: the role of singular values and compactness 

  Mogoi, N. Evans; Obogi, Robert (Open Journal of Mathematical Analysis, 2024-12-31)

  This paper investigates the geometry and norm-attainability of operators within various operator ideals, with a particular focus on the role of singular values and compactness. We explore the behavior of norm-attainable ...
• Geometry of norm attainability in Orlicz spaces 

  Mogoi, N. Evans; Obogi, Robert (Mathematical Analysis and its Contemporary Applications, 2025)

  This paper investigates norm attainability and modular properties in Orlicz spaces, which generalize Lp-spaces and are key in functional analysis and nonlinear problems. It presents theorems on norm attainment, ...
• Certain Orthogonality Conditions for Finite Elementary Operators in Normed Spaces 

  Obogi, Robert Karieko (Functional Analysis, 2023-03-07)

  Let H be an in nite dimensional complex Hilbert space and B(H) be the space of all bounded linear operators on H. In this paper we give Certain Orthogonality Conditions for Finite Elementary Operators in Normed Spaces.
• The geometry and norm-attainability of operators in operator ideals: the role of singular values and compactness 

  Obogi, Robert (Open Journal of Mathematical Analysis, 2024)

  This paper investigates the geometry and norm-attainability of operators within various operator ideals, with a particular focus on the role of singular values and compactness. We explore the behavior of norm-attainable ...
• On norms of derivations implemented by self-adjoint operators 

  Obogi, Robert (Open Journal of Mathematical Analysis, 2023)

  In this paper, we concentrate on norms of derivations implemented by self-adjoint operators. We determine the upper and lower norm estimates of derivations implemented by self-adjoint operators.The results show that the ...
• On the Number of Cyclic Codes Over Z31 

  Obogi, Robert; Ondiany, John Joseph O; Mude, Lao Hussein; Monari, Fred Nyamitago (Journal of Advances in Mathematics and Computer Science, 2024)

  Let n be a positive integer, yn 􀀀 1 cyclotomic polynomial and Zq be a given finite field. In this study we determined the number of cyclic codes over Z31. First, we partitioned the cyclotomic polynomial yn 􀀀1 using cyclotomic ...
• Certain Orthogonality Conditions for Finite Elementary Operators in Normed Spaces 

  Obogi, Robert (Functional Analysis, 2023)

  Let H be an in nite dimensional complex Hilbert space and B(H) be the space of all bounded linear operators on H. In this paper we give Certain Orthogonality Conditions for Finite Elementary Operators in Normed Spaces.
• Geometry of norm attainability in Orlicz spaces 

  Obogi, Robert; Mogoi N, Evans (Mathematical Analysis and its Contemporary Applications, 2025)

  This paper investigates norm attainability and modular properties in Orlicz spaces, which generalize Lp-spaces and are key in functional analysis and nonlinear problems. It presents theorems on norm attainment, ...

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