Abstract: Tri-level optimization problems are optimization problems with three nested hierarchical structures, where in most cases conflicting objectives are set at each level of hierarchy. Such problems are common in management, engineering designs and in decision making situations in general, and are known to be strongly NP-hard. Existing solution methods lack universality in solving these types of problems. In this paper, we investigate a tri-level programming problem with quadratic fract...
Abstract: The purpose of this article is to study the method of approximation for zeros of the sum of a finite family of maximally monotone mappings and prove strong convergence of the proposed approximation method under suitable conditions. The method of proof is of independent interest. In addition, we give some applications to the minimization problems and provide a numerical example which supports our main result. Our theorems improve and unify most of the results that have been proved f...
Abstract: In this paper, we define a Halpern–Ishikawa type iterative method for approximating a fixed point of a Lipschitz pseudocontractive non-self mapping T in a real Hilbert space settings and prove strong convergence result of the iterative method to a fixed point of T under some mild conditions. We give a numerical example to support our results. Our results improve and generalize most of the results that have been proved for this important class of nonlinear mappings.
Abstract: The purpose of this paper is to study the existence and approximation of a common fixed point of a pair of mappings satisfying a relaxed (ψ, ϕ)-weakly N-contractive condition and existence and approximation of a fixed point of a relaxed (ψ, ϕ)-weakly N-contraction mapping in the setting of modular spaces. Our theorems improve and generalize the results in Mongkolkeha and Kumam [23] and Öztürk et. al [26]. To validate our results numerical examples are provided.
Abstract: A new generalized class of distributions called the Lindley-Burr XII Power Series (LBXIIPS) distribution is proposed and explored. This new class of distributions contain some special cases such as Lindley-Burr XII Poisson (LBXIIP), Lindley-Burr XII Logarithmic (LBXIIL), Lindley-Burr XII Binomial (LBXIIB) and their sub-models among others. Some structural properties of the new distribution including moments, probability weighted moments, distribution of the order statistics and ent...
Abstract: In this paper, a new generalized family of distributions called the exponentiated odd Weibull-Topp-Leone-G (EOW-TL-G) family of distributions is presented. A linear representation of the proposed model is also presented. A simulation study to examine the consistency of the maximum likelihood estimates is conducted. Usefulness of the new proposed model was assessed by means of applications to two real data examples.
Abstract: A new algorithm for approximating solutions of the split equality variational inequality problems (SEVIP) for pseudomonotone mappings in the setting of Banach spaces is introduced. Strong convergence of the sequence generated by the proposed algorithm to a solution of the SEVIP is then derived without assuming the Lipschitz continuity of the underlying mappings and without prior knowledge of operator norms of the bounded linear operators involved. In addition, we provide several ap...
Abstract: In this paper, we introduce an iterative process, which converges strongly to the solution of a general split fixed point problem governed by demicontractive mappings and prove strong convergence theorems in Banach spaces.
Abstract: The 2014–2016 West African outbreak of Ebola Virus Disease (EVD) was the largest and most deadly to date. Contact tracing, following up those who may have been infected through contact with an infected individual to prevent secondary spread, plays a vital role in controlling such outbreaks. Our aim in this work was to mechanistically represent the contact tracing process to illustrate potential areas of improvement in managing contact tracing efforts. We also explored the role co...
Abstract: Recently, Chang et al. (2015) constructed an algorithm that converges weakly to the solution of the split equality fixed point problem for quasi-pseudo-contractive mappings under some suitable conditions. They also showed that strong convergence is obtained in the case when the quasi-pseudo-contractive mappings are semi-compact. In this article, we construct an algorithm for quasi-pseudo-contractive mappings that always converge strongly to some solution of the split equality fixed...
Abstract The objective of this present work is to introduce a new method of solving quadratic equations different from the existing methods. In this paper, we explicitly explain the new method and carefully discussed the conditions necessary for using this new approach. Finally, we apply our new approach to solve some questions and compare the result with the existing methods and results coincide. KEYWORD: The following are the keywords to be discuss namely; Affected quadratic equation,Absolu...
Abstract Mathematics is a key subject which students cannot avoid if they have to lead a bright future. Despite the introduction and implementation of different teaching methods and strategies suggested by researchers the achievement of students in mathematics at school level has persistently been poor, hence the need to explore the influence of different instructional approaches. The purpose of this study was to find out the extent to which instructional practices influenced students’ ach...
This paper gives a detailed proof of Euler's theorem, which is the divergence of a series of reciprocals of the primes. The key idea of the proof is to assume the series converges and then complete the proof by contradiction.
The four figures of power of base numbers tables is need to be created for easy synchronization with existing Logarithm table of power of base 10 which is working on four figures. Although the five figures of power of base numbers tables is more accurate because it is having less approximation in its establishment. The four figure tables is easy to compute doing utilization because it is having less digit to work with. This paper presents the four and five figures of Kifilideen (Power of ...
The four figures of power of base numbers tables is need to be created for easy synchronization with existing Logarithm table of power of base 10 which is working on four figures. Although the five figures of power of base numbers tables is more accurate because it is having less approximation in its establishment. The four figure tables is easy to compute doing utilization because it is having less digit to work with. This paper presents the four and five figures of Kifilideen (Power of ...