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1.

Generalization of Fixed Point Results via Iterative Process of F-Contraction Aftab Hussain, Arshad Muhammad Turkish Journal of Analysis and Number Theory. 2017 5 (4). doi: 10.12691/tjant-5-4-3 Keywords: metric space, fixed point, F contraction, iterative process Context: ...blish new fixed point theorems in complete metric spaces. As an application of our results, we prove existence and uniqueness of functional equation s and system of differential equations. Our results provide extension as well as substantial generalizations and improveme... Abstract Full Text (PDF) [Epub] Full Text (HTML)

2.

A Proof of the Riemann Hypothesis Young Hwan Yun American Journal of Applied Mathematics and Statistics. 2024 12 (4). doi: 10.12691/ajams-12-4-3 Keywords: Zeta function, trivial zeros, critical line, functional equation Context: ...the Riemann Hypothesis. It begins by deriving the relationship equation at the zeros of the Riemann zeta function from Riemann's functional equation . This equation follows the Schwarz reflection principle, indicating that the zeros of the zeta function are restricted to... Abstract Full Text (PDF) [Epub] Full Text (HTML)

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Fixed Point Results for Hardy Roger Type Contraction in Ordered Complete Dislocated Gd Metric Space Abdullah Shoaib, Muhammad Arshad, Syed Hussnain Kazmi Turkish Journal of Analysis and Number Theory. 2017 5 (1). doi: 10.12691/tjant-5-1-2 Keywords: fixed point, contractive dominated mappings, closed ball, crdered complete dislocated quasi Gd-metric spaces Context: ...i>d-metric space. The notion of dominated mappings is applied to approximate the unique solution of non linear functional equation s. An example is given to show the validity of our work. Our results improve/generalize several well known recent and clas... Abstract Full Text (PDF) [Epub] Full Text (HTML)

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Avoidance of Type (1,2) Patterns by Catalan Words Toufik Mansour, Mark Shattuck Turkish Journal of Analysis and Number Theory. 2017 5 (3). doi: 10.12691/tjant-5-3-4 Keywords: vincular patterns, functional equation , kernel method, pattern avoidance Context: ...) wherein the second and third letters within an occurrence of a pattern are required to be adjacent. We derive in several cases functional equation s satisfied by the generating functions enumerating members of the avoidance class which we solve by various methods. In o... Abstract Full Text (PDF) [Epub] Full Text (HTML)

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Solution of a System of HIV Model Equations by the Variational Iteration Method Tormitim Terdoo Timothy, Aboiyar Terhemen, Kimbir Anande Richard, Emmanuel Olumuyiwa Onifade American Journal of Applied Mathematics and Statistics. 2019 7 (6). doi: 10.12691/ajams-7-6-3 Keywords: virus, susceptible, infective, counseling, variation, eradication Context: ...onal Iteration Method (VIM), which is a semi analytical method. The VIM is used to obtain solutions of both nonlinear and linear functional equation s without discretizing the equations or approximating the operators. The solution when it exists is found in a rapidly con... Abstract Full Text (PDF) [Epub] Full Text (HTML)