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Common coupled fixed point theorem under weak ψ − ϕ contraction for hybrid pair of mappings with application
(Işık University Press, 2017)
We establish a common coupled fixed point theorem for hybrid pair of mappings under weak ψ − ϕ contraction on a non-complete metric space, which is not partially ordered. It is to be noted that to find coupled coincidence ...
Coincidence and common fixed point theorems for faintly compatible maps
(Işık University Press, 2017)
The paper is aimed to generalize and improve the results of Bisht and Shahzad [Faintly compatible mappings and common fixed points, fixed point theory and applications, 2013, 2013:156]. The significance of this paper lies ...
On the construction of general solution of the generalized sylvester equation
(Işık University Press, 2017)
The problem of construction the general solution of the generalized matrix Sylvester equation is considered. Conditions of existence of solution of this equation are obtained and the algorithm for construction of this ...
A discussion on some recent coupled fixed point results via new generalized nonlinear contractive conditions
(Işık University Press, 2017)
Recently, Samet et al. [34], by using the equivalence of the three basic metrics showed that certain coupled fixed point results can be obtained immediately from the well-known fixed point theorems. In the setting of ...
Combining genetic algorithm and Sinc-Galerkin method for solving an inverse diffusion problem
(Işık University Press, 2017)
A numerical approach combining the use of a genetic algorithm with the solution of the Sinc-Galerkin method is proposed for the determination of an unknown time-dependent diffusivity a(t) in an inverse diffusion problem ...
On complex multiplicative integration
(Işık University Press, 2017)
In the present paper, we extend the multiplicative integral to complex-valued functions of complex variable. The main difficulty in this way, that is, the multi-valued nature of the complex logarithm is avoided by division ...
A new heuristic algorithm for multiple traveling salesman problem
(Işık University Press, 2017)
The Multiple Traveling Salesman Problem (mTSP) is a combinatorial optimization problem in NP-hard class. The mTSP aims to acquire the minimum cost for traveling a given set of cities by assigning each of them to a different ...
Certain integral transforms and fractional integral formulas for the extended hypergeometric functions
(Işık University Press, 2017)
In this present paper, we derive various integral transforms, including Euler, Varma, Laplace, and Whittaker integral transforms for the extended hypergeometric functions which has recently been introduced by Choi et al.[3]. ...
Numerical solution of the interrelated differential equation of motion in phonon engineering
(Işık University Press, 2017)
In this work, we study numeric calculations of phonon modes in nanostructures. The motion equation of atoms in a crystal with some simplification, results in a second order ordinary differential equation and two interrelated ...
On approximate methods for fractal vehicular traffic flow
(Işık University Press, 2017)
In this paper, we find the approximate solutions for partial differential equations arising in fractal vehicular traffic flow by using the local fractional Laplace decomposition method (LFLDM) and local fractional series ...
