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May 20, 2011
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In this paper, we discuss a fairly large number of parametric and semiparametric duality results under various generalized ( η, ρ )-invexity assumptions for a semiinfinite multiobjective fractional programming problem.
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May 19, 2011
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Our aim is to get characterizations and unconditional bases of variable Sobolev spaces in terms of wavelets. As an application, we obtain the sampling theorem in .
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May 12, 2011
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This paper is concerned with weak uniformly normal structure and the structure of the set of fixed points of Lipschitzian mappings. It is shown that in a Banach space X with weak uniformly normal structure, every asymptotically regular Lipschitzian semigroup of self-mappings defined on a weakly compact convex subset of X satisfies the ( ω )-fixed point property. We show that if X has a uniformly Gâteaux differentiable norm, then the set of fixed points of every asymptotically nonexpansive mapping is nonempty and sunny nonexpansive retract of C . Our results improve several known fixed point theorems for the class of Lipschitzian mappings in a general Banach space.
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May 20, 2011
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Methods for constructing masas in the Calkin algebra without assuming the Continuum Hypothesis are developed.
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May 20, 2011
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We establish in this paper some existence results of a solution to a boundary value problem of fractional differential equation. We obtain two results, the first one by the Banach fixed point theorem and the second by a nonlinear alternative of Leray–Schauder type.
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May 4, 2011
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In this work, a new class of set-valued variational-like inclusions involving H - η -accretive operators is introduced and studied. A new iterative procedure for computing approximate solutions for the class of set-valued variational-like inclusions and convergence results are established.
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May 12, 2011
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We define a semi-symmetric non-metric connection in a nearly Sasakian manifold and we consider semi-invariant submanifolds of a nearly Sasakian manifold endowed with a semi-symmetric non-metric connection. Moreover, we also obtain integrability conditions of the distributions on semi-invariant submanifolds.
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May 4, 2011
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Let ƒ : B → ℂ denote a Sobolev function of class defined on the unit disc. We show that the distance of ƒ to the class of all holomorphic functions measured in the norm of the space is bounded by the L p -norm of theWirtinger derivative . As a consequence we obtain a Korn type inequality for vector fields .
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June 2, 2011
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We prove a comparison theorem for an ODE and DAE system which arises from the method of lines. Under a Perron comparison condition on the functional dependence and a specific Lipschitz and (W+) condition on the classical argument, we obtain strong uniqueness criteria.