Fixed Point Theory and Applications

Fixed Point Theory and Applications

Main research focus and other areas of research interest of the RG: Fixed Point

Theory and Applications, Optimization, Equations, Numerical Analysis

 

Title of most recent research project: Inertial Generalized Picard-Mann Iteration

Scheme for Certain Classes of Operators Equations

 

Other current or completed research projects:

  • Inertial Iteration Scheme for Approximating Fixed Points of Lipschitz Pseudocontractive Maps in Arbitrary Real Banach Spaces
  • Inertial Krasnoselskii-Mann-type Algorithms for Nonexpansive Maps and Accretive-type Operator Inclusion Problems in Real Banach Spaces
  • Iterative Algorithm with Inertial and Error Terms for Fixed Points of Strictly Pseudocontractive Maps and Zeros of Inverse Strongly Monotone Operators
  • Mixed equilibrium and multiple-set split feasibility problems for asymptotically k-strictly pseudononspreading mappings
  • Asymptotically Hemicontractive Mappings in Hilbert Spaces and a New Algorithm for Solving Split Common Fixed-Point Problem for the Mappings
  • Attractive Point and Ergodic Theorems for Generic n-Genralized Bregman Nonspreading Mappings in Banach Spaces
  • Iterative solution of split fixed point and monotone inclusion problems in Hilbert spaces

Name of the Coordinator: Osilike, Micah Okwuchukwu. FNMS, FAS

UNN email address of the RG:

UNN email address of the coordinator: micah.osilike@unn.edu.ng

Current webpage of the RG: http://www.unn.edu.ng/general-information/research-groups/fptarg/

Phone number of the RG:

Phone number of the coordinator: +2348035075422

Base Faculty/Institute/Center of the RG: Physical Sciences

Department of the Coordinator: Mathematics

Headshot of the coordinator (not mandatory):

 

List and brief profiles of members:

  • Professor M.O. Osilike, FNMS, FAS: Micah Okwuchukwu Osilike is a Professor of Mathematics at theUniversity of Nigeria, Nsukka (UNN). A pioneer occupant of the Pastor E.A. Adeboye Professorial Chair at UNN, his main research interest is in Fixed Point Theory and Applications (FPTA) and he coordinates a formidable research group in FPTA at UNN. He is a member of the Editorial Board of Abstract and Applied Analysis, HINDAWI Publications; and Journal of the Nigerian Mathematical Society (JNMS). He served the Nigerian Mathematical Society as Assistant Secretary (2000—2006), Vice-President (2006—2009), Acting Editor-in-Chief (2008), Editor-in-Chief (2009—2011) and President (2011—2015); a Regular Associate of the AS-ICTP, Trieste, Italy for two terms; a member of the University of Nigeria Governing Council (2009—2013); and the Director, Academic Planning Unit, UNN (2014—2018). He is a Fellow of the Nigerian Mathematical Society (FNMS), and a Fellow of the Nigerian Academy of Science (FAS). He represented the Nigerian Academy of Science (NAS) in the Governing Council of the National Mathematical Centre (NMC), Abuja from 2018—2021. He is currently representing NAS in the National Universities Commission (NUC) Comprehensive Curriculum Review and he reviews for AMS Mathematical Reviews.
  • Professor Felicia O. Isiogugu: https://staffprofile.unn.edu.ng/profile/2670 Felicia Obiageli Isiogugu attended ST. Cyprian Special Science School, Nsukka. She obtained a Bsc (Hons) in mathematics, an M.sc in Mathematics(Functional Analysis) and Ph.D in mathematics(Functional Analysis; Nonlinear operator theory) from the University of Nigeria, Nsukka (UNN). She joined the services of UNN in 2006 and is currently a Full Professor in Functional Analysis at the Department of Mathematics, University of Nigeria Nsukka. Her research is in the area of Fixed Point Theory and Applications.
  • Dr Besheng George Akuchu: Dr. B. G. Akuchu attended the Cameroon Protestant College (CPC) Bali, in the Republic of Cameroon. He obtained a BSc (Hons) in Mathematics from the Nnamdi Azikiwe University, Awka and subsequently an M.Sc. and Ph.D in Mathematics from the University of Nigeria, Nsukka (UNN). He was the best Ph.D graduand from UNN in the 2005/2006 academic session. He joined the services of UNN in 1999 and is currently an Associate Professor (Reader) in the Department of Mathematics, University of Nigeria, Nsukka. His area of Specialization is Nonlinear Functional Analysis and Operator Theory. More precisely he works in fixed points theory and its applications.
  • Shehu Yekini: http://staffprofile.unn.edu.ng/profile/891 Dr. Yekini Shehu obtained his PhD in the Department of Pure and Applied Mathematics, African University of Science and Technology, Abuja on 3rd May, 2013 under the supervision and guidance of Professor C. E. Chidume. He was the first PhD graduate of the department and the university. His PhD thesis was titled “Contributions to Iterative Algorithms for Nonlinear Equations in Banach spaces” from which he published eleven (11) papers (nine papers published in elsevier journals and two published in Springer-Verlag journals). Furthermore, his PhD thesis was awarded the Best PhD Thesis in Pure Mathematics by the Nigerian Mathematical Society for the year 2013. He joined the services of UNN in 2010 and is currently a Professor at the Department of Mathematics, Zhejiang Normal University: Jinhua, Zhejiang Province, CN. He is a researcher in Nonlinear Operator Theory where he construct fixed point iterative algorithms and prove convergence results for approximation of solutions for nonlinear operator equations, convex and non-convex optimization problems, variational inequalities, quasi-variational inequalities, and equilibrium problems in Hilbert spaces and Banach spaces.
  • Fedinard U. Ogbuisi: https://staffprofile.unn.edu.ng/profile/899 Dr. Ferdinard U. Ogbuisi is currently a Senior Lecturer in the Department of Mathematics, UNN. He joined the services of UNN in December 2010 as a Graduate Assistant. He obtained his Ph.D in Fixed Point Theory and Applications from South Africa.
  • Denis F. Agbebaku: https://staffprofile.unn.edu.ng/profile/898
  • Peter Uche Nwokoro: https://staffprofile.unn.edu.ng/profile/2671
  • Eucharia E. Chima: She obtained B.Sc., M.Sc. and Ph.D. in Mathematics from UNN. She is currently at Department of Mathematics, Bingham University, Karu, Nigeria. She is working in the area of Fixed Point Theory and Applications.
  • Anthony Chibuike Onah: Anthony Chibuike Onah obtained Second Class Honours, Upper Division in Mathematics from University of Nigeria, Nsukka in 2007. He obtained his M.Sc. degree in Mathematics from UNN in 2014 and is currently on his Ph.D. programme at UNN in the area of Fixed Point Theory and Applications. He is an Academic Staff of Evangel University Akaeze, Ebonyi State, Nigeria.
  • O.U. Oguguo: She obtained B.Sc. (Ed. Mathematics), M.Sc. (Mathematics) from University of Nigeria, Nsukka. She is currently completing her Ph.D. programme at UNN in the area of Fixed Point Theory and Applications. She is a lecturer at the Federal College of Education, Omoku, an affiliate of UNN.
  • Emmanuel Akaligwo: He obtained B.Sc. and M.Sc. in Mathematics from UNN and is currently on his Ph.D. programme in the area of Fixed Point Theory and Applications at UNN. He is a Lecturer at Federal University, Lokoja.

 

 

Members Google Scholar Citation links:

  • Osilike: https://scholar.google.com/citations?hl=en&user=MoPiOSUAAAAJ
  • Isiogugu: https://scholar.google.com/citations?hl=en&user=5Mi31xgAAAAJ
  • Akuchu: https://scholar.google.com/citations?hl=en&user=Yiyla5AAAAAJ
  • Shehu: https://scholar.google.com/citations?hl=en&user=763k4SIAAAAJ
  • Ogbuisi: https://scholar.google.com/citations?hl=en&user=lU6Sve8AAAAJ
  • Agbebaku: https://scholar.google.com/citations?hl=en&user=ZTJIFqsAAAAJ
  • Nwokoro: https://scholar.google.com/citations?hl=en&user=3IviWEwAAAAJ
  • Chima: https://scholar.google.com/citations?hl=en&user=uEZTfJAAAAAJ
  • Akaligwo: https://scholar.google.com/citations?hl=en&user=Qne4hKYAAAAJ

 

Members ResearchGate links:

  • Osilike: https://www.researchgate.net/profile/Micah-Osilike
  • Isiogugu: https://www.researchgate.net/profile/Felicia-Isiogugu
  • Akuchu: https://www.researchgate.net/profile/George-Besheng-Akuchu
  • Shehu: https://www.researchgate.net/profile/Yekini-Shehu
  • Ogbuisi: https://www.researchgate.net/profile/Ferdinard-Ogbuisi
  • Agbebaku: https://www.researchgate.net/profile/Dennis-Agbebaku
  • Nwokoro: https://www.researchgate.net/profile/Dennis-Agbebaku
  • Chima: https://www.researchgate.net/profile/Eucharia-Chima
  • Akaligwo: https://www.researchgate.net/profile/Emmanuel-Akaligwo
  • Oguguo: https://www.researchgate.net/profile/O-Oguguo
  • Onah: https://www.researchgate.net/profile/Anthony-Onah

 

10 key publications of the RG from 2019 till date:

  • U. Nwokoro, D. F. Agbebaku, E.E. Chima, A.C. Onah, O.U. Oguguo, and M.O. Osilike, Inertial Iteration Scheme for Approximating Fixed Points of Lipschitz Pseudocontractive Maps in Arbitrary Real Banach Spaces, Carpathian J. Math. 39 (1), (2023) 201-212.
  • F. Agbebaku,P.U. Nwokoro, M.O. Osilike, E.E. Chima and A.C. Onah,Iterative Algorithm with Inertial and Error Terms for Fixed Points of Strictly Pseudocontractive Maps and Zeros of Inverse Strongly Monotone Operators, Accepted to appear in Applied Set-Valued Analysis and Optimization, Volume 3 (1); (2021) 95-107, doi:10.23952/asvao.3.2021.1.08.
  • Y Shehu, OS Iyiola, FU Ogbuisi, Iterative method with inertial terms for nonexpansive mappings: applications to compressed sensing, Numerical Algorithms 83, (2020) 1321-1347.
  • FU Ogbuisi, FO Isiogugu, JM Ngnotchouye, Approximating a common solution of extended split equality equilibrium and fixed-point problems Indian Journal of Pure and Applied Mathematics 52 (1), (2021), 46-61,
  • FU Ogbuisi, Y Shehu, JC Yao, Convergence analysis of new inertial method for the split common null point problem Optimization 71 (13), (2022), 3767-3795 FU Ogbuisi, FO Isiogugu, A New Iterative Algorithm for Pseudomonotone Equilibrium Problem and a Finite Family of Demicontractive Mappings, Abstract and Applied Analysis 2020, 1-11
  • Y Shehu, A Gibali, New inertial relaxed method for solving split feasibilities Optimization Letters 15 (6), (2021), 2109-2126
  • Y Shehu, OS Iyiola, E Akaligwo, Modified inertial methods for finding common solutions to variational inequality problems, Fixed Point Theory 20 (2), (2019) 683-702
  • MO Uba, MA Onyido, CI Udeani, PU Nwokoro, A hybrid scheme for fixed points of a countable family of generalized nonexpansive-type maps and finite families of variational inequality and equilibrium problems, with  applications, Carpathian Journal of Mathematics 39 (1), (2023), 281-292.
  • PU Nwokoro, MO Osilike, DF Agbebaku, EE Chima, AC Onah, A new Halpern-type averaging algorithm with inertial and error terms for fixed points of asymptotically nonexpansive maps, J. Math. Comput. Sci. 10 (5), 1538-1558