Strong Convergence of an Algorithm about Strongly Quasi-Nonexpansive Mappings for the Split Common Fixed-Point Problem in Hilbert Space

Based on the recent work by Censor and Segal (2009 J. Convex Anal.16), and inspired by Moudafi (2010 Inverse Problem 26), in this paper, we study the modified algorithm of Yu and Sheng [29] for the strongly quasi - nonexpansive operators to solve the split common fixed-point problem (SCFP) in the framework of Hilbert space. Furthermore we proved the strong convergence for the (SCFPP) by imposing some conditions. Our results extend and improved/developed some recent result announced. Keywords:  Convex Feasibility, Split Feasibility, Split Common Fixed Point, Strongly Quasi-Nonexpansive Operator, Iterative Algorithm and Strong Convergence

Strong Convergence for the Split Feasibility Problem in Real Hilbert Space

In this paper, we study the cyclic algorithm for the split common fixed point problem (SCFPP) and multiple set split feasibility problem (MSSFP). Furthermore we proved the strong convergence for the (SCFPP) and (MSSFP) which extend and improve the result of F. Wang and H.K. Xu [9] from a weak convergence to a strong convergence. Keywords: Convex Feasibility, Split Feasibility, Split Common Fixed Point, Nonexpansive Mapping, Class –  operator, Iterative Algorithm  and Strong Convergence

Application of Finite Markov Chain to a Model of Schooling

In this paper, we focused on the application of finite Markov chain to a model of Schooling. The sample for the study was selected from one Secondary School in Nigeria. Four sets of graduates' data were used. Thus, 474 students were used as the study sample. Primary data were used as the methodology, while the knowledge of finite Markov chain was used to analyse the data collected for the study. Base on the result obtained in this study when compared with the actual values from the actual data, indicated that the model formulated, proves very efficient and can be accepted as suitable for predicting the Academic progress of the sampled school. Keywords: Matrix; Markov chain; Probability vector; Model of schoolin

Pentagonal Cone b-metric Spaces over Banach Algebras and Fixed Point Theorem of Generalized Lipschitz Mapping

In this paper, we introduce the concept of pentagonal cone b-metric space over Banach algebras as a generalization of cone metric space over Banach algebras and many of its generalizations. Furthermore, we prove Banach fixed point theorem in such a space. Our result unify, complement and/or generalized some recent results in the papers [1–7], and many others. We provide some examples to elucidate the validity and superiority of our results

Some Fixed Point Theorems of Contractive Mappings in Pbr-Cone Metric Spaces over Banach Algebras

In this paper, we introduce the concept of a Pbr-cone metric space over Banach algebras and prove some fixed point results under various contractive mappings in such a space. Some examples are given to elucidate the results. Our results extend and generalize many existing results in the literature

On some fixed point theorems for expansive mappings in dislocated cone metric spaces with Banach algebras

In this paper, we introduced the notion of generalized expansive mappings in dislocated cone metric spaces with Banach algebras. Furthermore, we prove some fixed point theorems for generalized expansive mappings in dislocated cone metric spaces with Banach algebras without the assumption of normality of cones. Moreover, we give an example to elucidate our result. Our results are significant extension and generalizations of many recent results in the literature

Fabrication of Probe Trap for Monitoring Cowpea Weevil Infesting Stored Cowpea

Insect probe traps are effective in detecting grain insects but neglected because it is time consuming and precise method of interpreting the catch have not been adequately specified. Interestingly, this is not readily available in Nigeria and where available, it is expensive due to foreign exchange rates. Therefore, there is need for a locally available and more acceptable insect probe trap for integrated pest management practice during postharvest handling of cowpea. Locally sourced materials were used to fabricate a probe trap for monitoring Callosobruchus maculatus (Coleoptera: Chrysomelidae) infesting stored cowpea. The fabricated probe trap was evaluated together with a standard probe trap. Treatments were repeated three times, and also tried in three different insect densities (3, 7 and 15 insects per kg respectively) artificially infested into 10 kg cowpea grains contained in plastic storage buckets, and traps were inspected after every 24 hours for five days. The probe trap was also evaluated in 100 kg cowpea sample contained in sack bag to determine the effect of grain volume on the performance of the trap. Data collected were subjected to ANOVA and means were separated using Student Newman Keuls test (SNK) at 5 % confidence level. The result of total trap catches revealed that the fabricated traps’ mean catch (36.6) was significantly (P ≤ 0.05) higher than the standard probe trap which had lower trap catch mean (12.7) value. Thresholds for management decisions were also determined and the fabricated trap was found to be economically profitable (N 936.75 cheaper); hence, objectives of the study were achieved.  It is recommended for cowpea handlers in Nigeria to use the fabricated insect probe trap because it is effective in monitoring beetles, it is less expensive and also locally available. &nbsp