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Coincidence and common fixed points theorem with an application in dynamic programming
Authors: Ahmed Chaouki Aouine, Abdelkrim Aliouche
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Abstract
We prove coincidence and common fixed points theorem for two self-mappings in complete metric spaces. Our theorem generalizes Theorem 1 of \cite{khoac}. Suitable examples are provided to illustrate the validity of our results. We apply our theorem to establish the existence of common solutions of a system of two functional equations arising in dynamic programming.Ahmed Chaouki Aouine
Larbi Ben M’Hidi University Oum-El-Bouaghi, 04000,
Algeria, Mohamed-Cherif Messaadia University Souk
Ahras, 41000, Algeria
E-mail:
Abdelkrim Aliouche
Laboratory of dynamical systems and control
Larbi Ben M’Hidi University
Oum-El-Bouaghi, 04000, Algeria
E-mail:
Larbi Ben M’Hidi University Oum-El-Bouaghi, 04000,
Algeria, Mohamed-Cherif Messaadia University Souk
Ahras, 41000, Algeria
E-mail:
Abdelkrim Aliouche
Laboratory of dynamical systems and control
Larbi Ben M’Hidi University
Oum-El-Bouaghi, 04000, Algeria
E-mail:
Fulltext
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Contents
- On solutions of the kinetic McKean system
- Coincidence and common fixed points theorem with an application in dynamic programming
- Free left k-nilpotent n-tuple semigroups
- Almost Periodic and Almost Automorphic Solutions of Monotone Differential Equations with a Strict Monotone First Integral*
- On semigroups of endomorphisms of universal algebras
- An analogue of Bremermann’s theorem on finding the Bergman kernel for the Cartesian product of the classical domains ℜI (m, k) and ℜII (n)
- Numerical simulation of nonlinear processes in semiconductor devices with the application of the Newtons method for linearization
