Lecturer II
Sule Lamido University, Kafin  Hausa, Mathematics
Abba Auwalu was born in Maigatari town, Jigawa State of Nigeria. He attended Sarki Maja Special Primary School, Maigatari between the years 1986 and 1992, from where he proceeded to Government Secondary School, Maigatari between 1992 and 1997, where he had his Secondary Education. He got admission into Federal College of Education, Kano – Nigeria in 1999, where he obtained, in 2002, a Nigeria Certificate in Education (NCE) in Mathematics/Chemistry. In 2004, Auwalu got admission into Bayero University Kano – Nigeria, where he graduated in the year 2008 with a Second Class Division, bagging a Bachelor of Science (B.Sc. Hons) degree in Mathematics. He completed his Master studies, from the same University, in 2013, and he bagged a Master’s degree (M.Sc.) in Mathematics. He later won, in 2014, a PhD study fellowship in Mathematics at Near East University, Nicosia – TRNC, Turkey. Currently, he completed the PhD course work, passed the PhD qualifying exams, completed the write – up of his dissertation, and now awaiting for the PhD viva. Auwalu worked as Lecturer for two (2) years in the Jigawa State University (JSU), and College of Remedial and Advanced Studies (JICORAS), Kafin Hausa, Nigeria, respectively. He initially started his teaching career, in 2002, as a Mathematics teacher in the Ministry of Education, Science and Technology (MOEST), Jigawa State, Nigeria. He also worked with Kano State Senior Secondary School Management Board (KSSSSMB), Nigeria, between the years 2005 and 2008. He was Ag. Dean student affairs and Chairman Security matters committee at College of Remedial and Advanced Studies, Kafin Hausa (20132014), Facilitator Mathematics panel at Ministry of Education, Science and Technology, Jigawa State (2013), and Student advisor at Computer Engineering Department, Near East University (2015date). Auwalu’s research interests include Fixed point theory and its applications, Functional Analysis, Complex Analysis. He has more than twenty (20) articles published in peer – reviewed journals, National and international conferences. He was a reviewer of many scientific journals including Journal of Inequality and Applications (JIA), Journal of Advanced Studies in Topology (JAST), and the SpringerPlus Journal. He is a member of both national and international professional organizations including Nigerian Mathematical Society (NMS) and European Mathematical Society (EMS). Auwalu is currently at the Department of Computer Engineering, Faculty of Engineering, Near East University since February 2015, teaching various Mathematics courses including Calculus I, Calculus II, Advanced Mathematics for Engineers, Differential Equations, Complex Analysis, Probability & Statistics, Linear Algebra, and Numerical Analysis. Auwalu is happily married with three (3) children.
Sule Lamido University, Kafin  Hausa, Mathematics
Near East University, NicosiaTRNC, Mathematics
Near East University, NicosiaTRNC, Computer Engineering
College of Advanced Studies, Kafin  Hausa, Mathematics
Mathematics
Near East University, Nicosia
Mathematics
Bayero University, Kano
Mathematics
Bayero University, Kano
We introduce an Expansive HardyRogersType contraction mapping in Cone 2  Metric Spaces. Furthermore, some fixed point theorems for Expansive HardyRogersType map and some common fixed point theorems for two Expansive HardyRogersType mappings in cone 2metric spaces were proved.
In this article, by using the Wmapping, ?strongly monotone and LLipschitzian operator, we introduce and study a new iterative scheme with MeirKeeler contraction for finding a common fixed point of an infinite family of nonexpansive mappings in the frame work of Hilbert spaces. We prove the strong convergence of the proposed iterative scheme to the unique solution of some variational inequality. The methods in this article are interesting and different from those given in many other articles. Our results improve and extend the corresponding results announced by many authors.
In this paper, we study synchronal and cyclic algorithms for finding a common fixed point x* of a finite family of strictly pseudocontractive mappings, which solve the variational inequality (? f – µG)x*, jq(x – x*)? 0, ?x ?Ni=1F(Ti), where f is a contraction mapping, G is an ?strongly accretive and LLipschitzian operator, N ? 1 is a positive integer, ? ,µ > 0 are arbitrary fixed constants, and {Ti}Ni=1 are Nstrict pseudocontractions. Furthermore, we prove strong convergence theorems of such iterative algorithms in a real quniformly smooth Banach space. The results presented extend, generalize and improve the corresponding results recently announced by many authors.
Let E be a real quniformly smooth Banach space whose duality map is weakly sequentially continuous and C be a nonempty, closed and convex subset of E. Let {Ti}?i=1 : C › E be a family of kstrict pseudocontractions for k ? (0, 1) such that T?i=1 F(Ti) 6= Ø, f be a contraction with coefficient ß ? (0, 1) and {?i}?i=1 be a real sequence in (0, 1) such that P? i=1 ?i = 1. Let G : C › E be an ?strongly accretive and LLipschitzian operator with L > 0, ? > 0. Let {?n} and {ßn} be sequences in (0, 1) satisfying some conditions. For some positive real numbers ?, µ appropriately chosen, let {xn} be a sequence defined by??? ??? x0 ? C arbitrarily chosen, Tßn = ßnI + (1  ßn) P? i=1 ?iTi, xn+1 = ?n?f(xn) + (I  ?nµG)Tßn xn, n ? 0. Then, we prove that {xn} converges strongly to a common fixed point x* of the countable family {Ti}?i=1, which solves the variational inequality: h(?f  µG)x*, jq(x  x*)i ? 0, ?x ?\?i=1 F(Ti).
In this paper, we prove existence of common fixed points for a pair of self mappings in nonnormal cone pentagonal metric spaces. Our results extend and improve the recent results of Azam et al. [Banach contraction principle on cone rectangular metric spaces, Applicable Analysis and Discrete Mathematics, 3(2), 236–241, 2009], Rashwan and Saleh [Some Fixed Point Theorems in Cone Rectangular Metric Spaces, Mathematica Aeterna, 2(6): 573–587, 2012], Garg and Agarwal, [Banach Contraction Principle on Cone Pentagonal Metric Space, Journal of Advanced Studies in Topology, 3(1), 12–18, 2012], and others.
In this paper, we prove Banachtype fixed point theorem for four self mappings in nonnormal cone pentagonal metric spaces. Our results extend and improve the recent results announced by many authors.
In this paper, we prove Kannan  type fixed point theorem for two self mappings in nonnormal cone pentagonal metric spaces. Our results extend and improve the recent results announced by many authors.
In this paper, we prove Kannan’s fixed point theorem in cone pentagonal metric space. Our results extend and improve many known results in the literature.
In this paper, we prove Kannan  type fixed point theorem for four self mappings in nonnormal cone pentagonal metric spaces. Our results extend and improve the recent results announced by many authors.
In this paper, we prove Banach fixed point theorem in cone pentagonal metric spaces without assuming the normality condition. Our results improve and extend recent known results.


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