Theory of Approximation and Applications: 1 (2)

Open Access Article

1 - A new technique for solving Fredholm integro-differential equations using the reproducing kernel method
Razieh Ketabchi

This paper is concerned with a technique for solving Fredholm integro-dierentialequations in the reproducing kernel Hilbert space. In contrast with the conventionalreproducing kernel method, the Gram-Schmidt process is omitted hereand satisfactory results are obtained. More

This paper is concerned with a technique for solving Fredholm integro-dierentialequations in the reproducing kernel Hilbert space. In contrast with the conventionalreproducing kernel method, the Gram-Schmidt process is omitted hereand satisfactory results are obtained. The analytical solution is represented inthe form of series. An iterative method is given to obtain the approximate solution.The convergence analysis is established theoretically. The applicabilityof the iterative method is demonstrated by testing some various examples. Manuscript profile

Open Access Article

2 - Viscosity approximation methods for W-mappings in Hilbert space
HR Sahebi S. Ebrahimi

We suggest a explicit viscosity iterative algorithm for nding a common elementof the set of common xed points for W-mappings which solves somevariational inequality. Also, we prove a strong convergence theorem with somecontrol conditions. Finally, we apply our results More

We suggest a explicit viscosity iterative algorithm for nding a common elementof the set of common xed points for W-mappings which solves somevariational inequality. Also, we prove a strong convergence theorem with somecontrol conditions. Finally, we apply our results to solve the equilibrium problems.Finally, examples and numerical results are also given. Manuscript profile

Open Access Article

3 - Extend a ranking method of trapezoidal fuzzy numbers to all fuzzy numbers by a weighting functions
Abolfazl Saiedifar

Recently Abbasbandy and Hajjari (Computers and Mathematics with Applications57 (2009) 413-419) have introduced a ranking method for the trapezoidalfuzzy numbers. This paper extends theirs method to all fuzzy numbers,which uses from a defuzzication of fuzzy numbers and More

Recently Abbasbandy and Hajjari (Computers and Mathematics with Applications57 (2009) 413-419) have introduced a ranking method for the trapezoidalfuzzy numbers. This paper extends theirs method to all fuzzy numbers,which uses from a defuzzication of fuzzy numbers and a general weightingfunction. Extended method is interesting for ranking all fuzzy numbers, and itcan be applied for solving and optimizing engineering and economics problemsin a fuzzy environment. Manuscript profile

Open Access Article

4 - Measurement of profit inefficiency in presence of interval data using the directional distance function
Tayybe Ahangari Mohsen Rostamy-Malkhalifeh

In many applied programs in real-life problems, both physical inputs and out-puts are heterogeneous which in this case the efficient cost and income modelcan not apply to evaluate the cost and income of related turnover. So, a mea-surement based on the directional value More

In many applied programs in real-life problems, both physical inputs and out-puts are heterogeneous which in this case the efficient cost and income modelcan not apply to evaluate the cost and income of related turnover. So, a mea-surement based on the directional value of prot was presented which we havedeveloped it in this paper and have computed it for interval data. In fact, wehave measured the inefficiency of cost in the presence of interval data using thedirectional distance function which is most meaningful for those companiesthat their essential behavioral goals are maximizing the prot with least am-ambiguity. To this end, considering some branches of Tejarat bank in Iran, theefficiency of profit in presence of interval data is computed by means of thedistance directional function. Manuscript profile

Open Access Article

5 - A novel existence and uniqueness theorem for solutions to FDEs driven by Lius process with weak Lipschitz coefficients
S. Siah-Mansouri O. Solaymani Fard M. M. Gachpazan

This paper we investigate the existence and uniqueness of solutions to fuzzydierential equations driven by Liu's process. For this, it is necessary to provideand prove a new existence and uniqueness theorem for fuzzy dierential equationsunder weak Lipschitz condition. More

This paper we investigate the existence and uniqueness of solutions to fuzzydierential equations driven by Liu's process. For this, it is necessary to provideand prove a new existence and uniqueness theorem for fuzzy dierential equationsunder weak Lipschitz condition. Then the results allows us to considerand analyze solutions to a wide range of nonlinear fuzzy dierential equationsdriven by Liu's process. Manuscript profile

Open Access Article

6 - The cosine method to Gardner equation and (2+1)- dimensional breaking soliton system
Parvin Nabipour Kisomi

In this letter, we established a traveling wave solution by using cosine function algorithm for Gardnerequation and (2+1)-dimensional breaking soliton system. The cosine method is used to obtain theexact solution.

In this letter, we established a traveling wave solution by using cosine function algorithm for Gardnerequation and (2+1)-dimensional breaking soliton system. The cosine method is used to obtain theexact solution. Manuscript profile

Open Access Article

7 - Analysis of convergence of solution of general fuzzy integral equation with nonlinear fuzzy kernels
Laleh Hooshangian

Fuzzy integral equations have a major role in the mathematics and applications.In this paper, general fuzzy integral equations with nonlinear fuzzykernels are introduced. The existence and uniqueness of their solutions areapproved and an upper bound for them are determi More

Fuzzy integral equations have a major role in the mathematics and applications.In this paper, general fuzzy integral equations with nonlinear fuzzykernels are introduced. The existence and uniqueness of their solutions areapproved and an upper bound for them are determined. Finally an algorithmis drawn to show theorems better. Manuscript profile

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