We explore “weak” supersymmetric systems whose algebra involves, besides Poincare generators, extra bosonic generators not commuting with supercharges. This allows one to have inequal number of bosonic and fermionic 1–particle states in the spectrum. Coleman–Mandula and Haag–Lopuszanski–Sohnius theorems forbid the presence of such extra bosonic charges in interacting theory for d ≥ 3. However, ...

We explore “weak” supersymmetric systems whose algebra involves, besides Poincare generators, extra bosonic generators not commuting with supercharges. This allows one to have inequal number of bosonic and fermionic 1–particle states in the spectrum. Coleman–Mandula and Haag–Lopuszanski–Sohnius theorems forbid the presence of such extra bosonic charges in interacting theory for d ≥ 3. However, ...

The convergence properties of Newton’s method for systems of equations with constant rank derivatives are studied under the hypothesis that the derivatives satisfy some weak Lipschitz conditions. The unified convergence results, which include Kantorovich type theorems and Smale’s point estimate theorems as special cases, are obtained. Mathematics subject classification: 49M15, 65F20, 65H10.

The purpose of this paper is to make two modest contributions to the theory of interpolation of operators on function spaces. The first deals with the modification of interpolation theorems to handle interpolation of n pairs. This work was partially begun in [S, 91 where strong type interpolation theorems were obtained using techniques easily altered to fit the n pair situation. Section 2 prese...

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In this note we consider the notion of intuitionistic fuzzy (weak) dual hyper K-ideals and obtain related results. Then we classify this notion according to level sets. After that we determine the relationships between intuitionistic fuzzy (weak) dual hyper K-ideals and intuitionistic fuzzy (weak) hyper K-ideals. Finally, we define the notion of the product of two intuitionistic fuzzy (weak) du...

Some properties of the weak subdifferential are considered in this paper. By using the definition and properties of the weak subdifferential which are described in the papers Azimov and Gasimov, 1999; Kasimbeyli and Mammadov, 2009; Kasimbeyli and Inceoglu, 2010 , the author proves some theorems connecting weak subdifferential in nonsmooth and nonconvex analysis. It is also obtained necessary op...

This paper is devoted to the investigation of optimality conditions and saddle point theorems for robust approximate quasi-weak efficient solutions a nonsmooth uncertain multiobjective fractional semi-infinite optimization problem (NUMFP). Firstly, necessary condition established by using properties Gerstewitz’s function. Furthermore, kind pseudo/quasi-convex function defined (NUMFP), under its...

In this paper, it is our aim in paper to introduce a new iterative algorithmfor approximation of solution an equation Hammerstein-type. The proposed scheme does not involve computation inverse operators under study; passing through certain set that must contain the Hammerstein-type before convergence takes place. requires only one parameter satisfying verifiable mild conditions. Moreover, mappi...