Solving Generalized Networks

Generalized Problem-Solving Methods

Problem-Solving Methods (PSMs) describe the dynamic reasoning behaviour of a knowledge-based system independent from a certain domain and application. Evidently, the reuse of PSMs across different domains or applications is a challenging issue. The investigation presented in this paper was directed by the hypotheses that a library of PSMs should be essentially more than just a juxtaposition of ...

Solving Generalized Variational Inclusions

and Applied Analysis 3 monotone and Lipschitz continuous mappings are cocoercive, and it follows that cocoercivity is an intermediate concept that lies between simple and strong monotonicity. Definition 2.3. A multivalued mapping M : X → 2 is said to be cocoercive if there exists a constant μ′′ > 0 such that 〈 u − v, x − y〉 ≥ μ′′‖u − v‖, ∀x, y ∈ X, u ∈ M x , v ∈ M(y). 2.7 Definition 2.4. Amappi...

Solving Generalized Small Inverse Problems

We introduce a “generalized small inverse problem (GSIP)” and present an algorithm for solving this problem. GSIP is formulated as finding small solutions of f(x0, x1, . . . , xn) = x0h(x1, . . . , xn) + C = 0(mod M) for an n-variate polynomial h, non-zero integers C and M . Our algorithm is based on lattice-based Coppersmith technique. We provide a strategy for construction of a lattice basis ...

Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation

In this paper, we present a new method for solving Reproducing Kernel Space (RKS) theory, and iterative algorithm for solving Generalized Burgers Equation (GBE) is presented. The analytical solution is shown in a series in a RKS, and the approximate solution u(x,t) is constructed by truncating the series. The convergence of u(x,t) to the analytical solution is also proved.

On Solving Linear Diophantine Systems Using Generalized Rosser's Algorithm