NONSMOOTH AND NONLOCAL DIFFERENTIAL EQUATIONS IN LATTICE-ORDERED BANACH SPACES ¨ SIEGFRIED CARL AND doc

... Box 3000, 90014 Oulu, Finland E-mail address: sheikki@cc.oulu.fi NONSMOOTH AND NONLOCAL DIFFERENTIAL EQUATIONS IN LATTICE-ORDERED BANACH SPACES SIEGFRIED CARL AND S. HEIKKIL ¨ A Received 7 September ... exists in C(J,E), and there is an increasing sequence (u n )inW which converges pointwise strongly in case (A) and weakly in the case (B) to u. Moreover,...

Ngày tải lên: 23/06/2014, 00:20

... J. Cho, M. Jalili, R. Saadati, and S. M. Vaezpour, “On the stability of cubic mappings and quadratic mappings in random normed spaces, ” Journal of Inequalities and Applications, vol. 2008, Article ... Saadati, S. M. Vaezpour, and Y. J. Cho, “A note to paper “On the stability of cubic mappings and quartic mappings in random normed spaces ,” Journal of Inequalities and Applic...

Ngày tải lên: 22/06/2014, 02:20

... original works of Martinet [12, 13]. On the other hand, Mann [11] introduced the following iterative scheme for finding a fixed point of a nonexpansive mapping T in a Banach space: x 1 = x ∈ C and x n+1 = ... Mann’s type and Halpern’s type for resolvents of accretive operators with compact domains and apply these results to find fixed points of nonexpansive mappings in Banach space...

Ngày tải lên: 23/06/2014, 00:20

... below). For information about publishing your research in Advances in Difference Equations go to http://www.advancesindifferenceequations.com/authors/instructions/ For information about other SpringerOpen ... noncompactness in separable Banach spaces. J. Fixed Point Theory Appl. 5, 129–144 (2009) [16] Liang, J, Liu, JH, Xiao, TJ: Nonlocal impulsive problems for nonlinear different...

Ngày tải lên: 21/06/2014, 17:20

... solve PDEs. The Sobolev spaces occur in a wide range of questions, in both pure and applied mathematics. They appear in linear and nonlinear PDEs that arise, for example, in differential geometry, ... is in general impossible to separate 2.3 The Open Mapping Theorem and the Closed Graph Theorem 35 • Theorem 2.6 (open mapping theorem). Let E and F be two Banach spaces...

Ngày tải lên: 04/02/2014, 11:10

... 8). This force and moment must be supplied by the lower part of the column. 34 Chapter 0 Ordinary Differential Equations multiple of π ,sincesin(π ) = 0, sin(2π) = 0, etc., and integer multiples ... other kinds of linear, homogeneous equations. Later, we will be using the same principle on partial differential equations. To be able to satisfy an unrestricted initial condition, we...

Ngày tải lên: 17/02/2014, 14:20

... heating” and  m k=1 P k dX k as in nitesimal working” for a process. In this chapter however there is no notion whatsoever of anything changing in time: everything is in equilibrium. Terminology. ... entropy. Proof. 1. Fix a point (T ∗ ,V ∗ ) in Σ and consider a Carnot heat engine as drawn (assuming Λ V > 0): 36 (iii) the use of entropy in providing variational principles. A...

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Ngày tải lên: 31/03/2014, 15:16

... normed spaces and in metric spaces. The theory of contractions and nonexpansive mappings defined on convex subsets of Banach spaces is rich (see, e.g., [1-4]) and has been well developed since ... classes of mappings like asymptotic mappings [12,13], pointwise contractions [14] and asymp- totic pointwise contractions and nonexpansive mappings [15-17]. Hussain et al. Fixed...

Ngày tải lên: 20/06/2014, 22:20

... stability of the linear transformationin Banach spaces. J Math Soc Japan. 2,64–66 (1950). doi:10.2969/ jmsj/00210064 4. Rassias, ThM: On the stability of the linear mapping in Banach spaces. Proc ... Jensen’s equations in fuzzy spaces. Journal of Inequalities and Applications 2011 2011:78. Najati et al. Journal of Inequalities and Applications 2011, 2011:78 http://www.journa...

Ngày tải lên: 20/06/2014, 22:20