Báo cáo hóa học: " Research Article Applications of Fixed Point Theorems in the Theory of Generalized IFS" docx

... x  ,y  x ∗ ,y ∗  and the proof of the theorem is complete. It is worth noting that when the constants in Theorem 2.2 are equal we have the following corollary. Fixed Point Theory and Applications 5 Corollary ... a coupled fixed point of the mapping F : X × X → X if Fx, yx and Fy,xy. In the next theorems of this section, we investigate some coupled...

Ngày tải lên: 22/06/2014, 11:20

... section, we elabo- rate the use of CMT in the evaluation of the CRB in the fre- quency domain. The major advantage of the frequency do- main evaluation is that it avoids matrix inversion and thus it ... dif- ferent fading conditions. Following is an outline of the paper. Section 2 outlines the general signal model encountered in the communication channels. In...

Ngày tải lên: 22/06/2014, 23:20

... coincidence point theorems, ” Fixed Point Theory, vol. 9, no. 2, pp. 487–496, 2008. 24 O. Had ˇ zi ´ candE.Pap ,Fixed Point Theory in Probabilistic Metric Spaces, vol. 536 of Mathematics and its Applications, ... t>0. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 363716, 14 pages doi:10.1155/2011/363716 Research...

Ngày tải lên: 21/06/2014, 05:20

... if they commute at their coincidence point i.e., fTx  Tfx whenever fx  Tx.Apointy ∈ X is called point of coincidence of a family T j , j ∈ J, of self-mappings on X if there exists a point ... Also, omitting the assumption of normality they obtain generalizations of some results of 1 .In 7 Di Bari and Vetro obtain results on points of coincidence and common fixed po...

Ngày tải lên: 22/06/2014, 11:20

... Khan and I. Kubiaczyk, Fixed point theorems for point to set maps,” Mathematica Japonica, vol. 33, no. 3, pp. 409–415, 1988. Fixed Point Theory and Applications 7 pair and therefore a weakly compatible ... whenever the right-hand side of 2.20 is positive, then there is a unique point u in X such that Fu  Gu  {u}  {Iu}  {Ju}. Hindawi Publishing Corporation Fixed...

Ngày tải lên: 22/06/2014, 11:20

... and others made a significant contribution in fixed point theory of D-metric space. Unfortunately, almost all theorems in D-metric spaces are not valid (see [24–26]). 4 Fixed Point Theory and Applications Then ... Ay,Ay),D ∗ (Ty,Ax,Ax),D ∗ (Ty,Ay,Ay)). (2.2) Then A, S,andT have a unique common fixed point in X. Proof. Let x 0 ∈ X be an arbitrary point in X.ThenAx 0 ∈...

Ngày tải lên: 22/06/2014, 19:20

... Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2008, Article ID 312876, 11 pages doi:10.1155/2008/312876 Research Article Applications of Fixed Point Theorems in the ... autoregressive time series, engineer sciences, physics, and so forth. For applications of IFSs in image processing theory, in the theory of stochastic grow...

Ngày tải lên: 21/06/2014, 23:20

... H ¨ older’s inequality 13,wehavethereverseof2.10 and 3.3.Itis easy to obtain the reverse of 3.2.Inviewofthereversesof3.2 and 3.3,weobtainthe reverse of 3.1. On the other hand, suppose ... 1,wherez 1  −e iα 1 and z 2  −e −iα 1 are the first-order poles of fz,andz  ∞ is the first-order zero point of fz,inviewofthe theorem of obtaining real integral by res...

Ngày tải lên: 21/06/2014, 05:20

... noncompact. In the second case, by Klee’s theorem in Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 175989, 6 pages doi:10.1155/2011/175989 Research Article Relation ... set we can apply the Kakutani-Bohnenblust-Karlin Theorem in 5 to obtain a fixed point for Sz and hence for T. 2 Fixed Point Theory and Applicatio...

Ngày tải lên: 21/06/2014, 11:20

... 15. References 1 I. Yamada, The hybrid steepest-descent method for the variational inequality problem of the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithm ... : t>0} of self-mappings of X satisfies the following conditions: i T0x  x for x ∈ X, ii Tt  sx  TtTsx for t, s > 0andx ∈ X, Fixed Point The...

Ngày tải lên: 21/06/2014, 11:20