Báo cáo hóa học: " Research Article Browder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces" pot

... Nonlinear Operator Theory in Probabilistic Metric Spaces, Nova Science Publishers, Huntington, NY, USA, 2001. 8 M. A. Khamsi and V. Y. Kreinovich, Fixed point theorems for dissipative mappings ... every Cauchy sequence in X is convergent to a point in X. In 1998, Jungck and Rhoades 16 introduced the following concept of weak compatibility. Fixed Point Theory and Applica...

Ngày tải lên: 21/06/2014, 20:20

... d  Gx 21 ,Sx 22  2    Kd  z 21 ,z 2  ,Kd  z 21 ,z 22  , Kd  z 2 ,z 22  2  , 3.4 Fixed Point Theory and Applications 7 Therefore, dTy,z  c for each c ∈ int P .So,byp 2  we have dTy,zθ,thatis, Ty  Gy  z, y is a coincidence point, and z is a point of coincidence ... applications in optimization theory see 2. The initial work of Huang and Zhang ...

Ngày tải lên: 21/06/2014, 05:20

... 2.25 12 Fixed Point Theory and Applications Thus we showed that f and g have a coincidence point p ∈ X, that is, point of coincidence q ∈ X such that q  fp  gp. If q 1 is another point of coincidence ... · u. 2.19 Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2009, Article ID 643840, 13 pages doi:10.1155/2009/643840 Research Article Common...

Ngày tải lên: 22/06/2014, 11:20

... common fixed point. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2007, Article ID 54101, 9 pages doi:10.1155/2007/54101 Research Article Common Fixed Point Theorems for ... Mathematics, Indiana University, Bloomington, IN 47405-7106, USA Email address: rhoades@indiana.edu 4 Fixed Point Theory and Applications Proof. By hypothesis, there exis...

Ngày tải lên: 22/06/2014, 19:20

... weaker than that in the corresponding results of Shen in 14. Theorem 3.6 also generalizes in 4, Theorem 2.4,Dingin15, Theorem 5.3, and Ding and Yuan in 16, Theorem 2.3 in several aspects. Corollary ... L N of Y containing Y 0 ∪ N such that K   y∈Y 0 cint A −1 y c is empty or compact in X,wherecint A −1 y c denotes the complement of cint A −1 y. Then there exist...

Ngày tải lên: 22/06/2014, 02:20

... equation in quasi -Banach spaces,” preprint. 8 Fixed Point Theory and Applications This implies that C is a unique mapping satisfying 2.19 such that there exists a μ ∈ 0, ∞ satisfying N  g  x  − ... and V. Radu, Fixed points and the stability of Jensen’s functional equation,” Fixed Point Theory, vol. 4, no. 1, article 4, 7 pages, 2003. 72 J. B. Diaz and B. Margolis, “A...

Ngày tải lên: 21/06/2014, 20:20

... satisfying η = b −Aη. Remark 2.4. Note that in Theorem 2.2 it is not necessary that g is a self-mapping as it is assumed in many other fixed point theorems. Remark 2.5. Theorem 2.2 is also valid in R n of ... [7, 8] for the in nite-dimensional case). In the presented paper we give a generalization of Corollary 1.2 in the in nite-dimensional Hilbert space l 2 .Finally,we prove a...

Ngày tải lên: 22/06/2014, 06:20

... using 3.4, we c an conclude that 3.4 is true. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2008, Article ID 945010, 7 pages doi:10.1155/2008/945010 Research Article A ... C ˘ adariu and V. Radu, Fixed point methods for the generalized stability of functional equations in a single variable,” Fixed Point Theory and Applications, vol. 2008, Ar...

Ngày tải lên: 22/06/2014, 11:20

... found in 17, 18. For applications of fixed point results of nonlinear mappings in simultaneous best approximation theory and 14 Fixed Point Theory and Applications 24 N. Hussain, “Common fixed points ... 2008. 25 N. Hussain and V. Berinde, “Common fixed point and invariant approximation results in certain metrizable topological vector spaces,” Fixed Point Theory and Appli...

Ngày tải lên: 22/06/2014, 11:20

... Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2007, Article ID 57064, 9 pages doi:10.1155/2007/57064 Research Article A Fixed Point Approach to the ... to include the in nity. We now introduce one of the fundamental results of fixed point theory. For the proof, we refer to [11]. This theorem will play an important role in proving our main theorem...

Ngày tải lên: 22/06/2014, 19:20