Báo cáo hóa học: " Research Article Generalized Vector Equilibrium-Like Problems without Pseudomonotonicity in Banach Spaces" ppt

... 2.49 Thus a shrinking mapping is nonexpansive but need not be a contraction mapping. If T is a shrinking mapping, then I − B −1 exists but need not be continuous. The following result is also ... fixed point theorem for the sum of a completely continuous and a strict contraction mapping 2, 3 .In 4, Reinermann extended the above result to uniform Banach spaces. The methods used in th...

Ngày tải lên: 21/06/2014, 11:20

... mapping but not relatively nonexpansive mapping. In this paper, we give an example which is weak relatively nonexpansive mapping but not relatively nonexpansive mapping in Banach space l 2 . Apointp ... (accretive), where intC is the interior of C. Proof. 1 It is obvious that T has a unique fixed point 0, that is, FT{0}. Firstly, we show that x 0 is an asymptotic fixed point of T. I...

Ngày tải lên: 21/06/2014, 17:20

... property which interests us in this paper, it was given by Garc ´ ıa- Falset and Llor ´ ens Fuster in 1990 7. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2010, Article ... wFPP. Recently in 2008 Cowell and Kalton 6 studied properties au and au ∗ in a Banach space X, where au coincides with WORT H if X is separable and au ∗ in X coincides with WO...

Ngày tải lên: 21/06/2014, 20:20

... 0. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2008, Article ID 562130, 9 pages doi:10.1155/2008/562130 Research Article On Coincidence and Fixed-Point Theorems in Symmetric ... common fixed points. However, the study of the existence of common fixed points for noncompatible mappings is, also, very interesting. In 2,the author initially proved some comm...

Ngày tải lên: 21/06/2014, 23:20

... asymptotic center y. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2007, Article ID 73246, 9 pages doi:10.1155/2007/73246 Research Article Nonlinear Mean Ergodic Theorems ... is continuous for some t 0 > 0, then y is a fixed point of Γ, that is, y belongs to F. There are some conditions in the discrete case in [6–8]. Miyadera [7, 8] showed that the cond...

Ngày tải lên: 22/06/2014, 19:20

... respectively. Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2007, Article ID 61794, 13 pages doi:10.1155/2007/61794 Research Article Generalized Vector Equilibrium-Like Problems ... ex- ample, generalized vector variational inequality problem, generalized vector variational- like inequality problem, generalized vector complementarity...

Ngày tải lên: 22/06/2014, 18:20

... Journal of Inequalities and Applications in the spaces of generalized functions. Also, we obtain the general solution and prove the Hyers-Ulam stability of 1.1 in the spaces of generalized ...    u0,t   3.48 In view of 3.27, it is easy to see that c : lim sup t → 0  f0,t exists. Letting x  y  z  0and t  s  r → 0  in 3.27, we have |c|≤. Finally, taking t...

Ngày tải lên: 22/06/2014, 02:20

... Publishing Corporation Boundary Value Problems Volume 2009, Article ID 541435, 11 pages doi:10.1155/2009/541435 Research Article Antiperiodic Boundary Value Problems for Finite Dimensional Differential ... interpolation problems 32, 33, and antiperiodic wavelets are discussed in 34. Moreover, antiperiodic boundary conditions appear in physics in a variety of situations,...

Ngày tải lên: 21/06/2014, 20:20

... fixed points of a nonexpansive mapping on a real Hilbert space H: min x∈C 1 2 Ax, x−x, b, (1:7) where C is the fixed point set of a nonexpansive mapping T on H and b is a given point in H. In ... theorems are established in the framework of a reflexive Banach space which admits a weakly continuous duality mapping. The main result extends various result s existing in the current...

Ngày tải lên: 20/06/2014, 22:20

... mapping defined by J(x):={f ∈ E ∗ : x, f =x 2 , f =x, x ∈ E} where ·,· denotes the generalized duality pairing. Following Morales [6], a mapping T with domain D(T) and range ᏾(T)inE ... strongly to the fixed point of T, which is the unique solution of the variational inequality (2.20). FIXED POINT VARIATIONAL SOLUTIONS FOR UNIFORMLY CONTINUOUS PSEUDOCONTRACTIONS IN BANACH SPACES...

Ngày tải lên: 22/06/2014, 22:20