Báo cáo hóa học: " INVARIANT APPROXIMATIONS, GENERALIZED I-CONTRACTIONS, AND R-SUBWEAKLY COMMUTING MAPS" pptx

... INVARIANT APPROXIMATIONS, GENERALIZED I-CONTRACTIONS, AND R-SUBWEAKLY COMMUTING MAPS NASEER SHAHZAD Received 11 May 2004 and in revised form 23 August 2004 We ... for generalized contractive R-subweakly com- muting maps and obtain some results on invariant approximation. 1. Introduction and preliminaries Let S beasubsetofanormedspaceX = ( X,·)andT and ... 30 (199...

Ngày tải lên: 23/06/2014, 00:20

... Choose x 1 and x 2 in X such that gx 0 = Sx 1 and fx 1 = Tx 2 . This can be done, since the ranges of S and T contain those of g and f, respectively. Again choose x 3 and x 4 in X such that gx 2 = Sx3 and ... shall study R-weakly commuting and compatible mappings in the frame work of G-metric spaces. Definition 1.7.LetX be a G-metric space and f and g be two self-mappings...

Ngày tải lên: 21/06/2014, 00:20

... for monotone and generalized contractive type mappings in partially ordered metric spaces. Bhaskar and Lakshmikantham [4] initiated and proved some new coupled fixed point results for mixed monotone and ... [2], Bhas- kar and Lakshmikantham [4], Bhaskar et al. [5], Ćirić and Lakshmikantham [7], Ćirić et al. [8,9], Lakshmikantham and Ćirić [10], Nieto and López [6,11], Samet...

Ngày tải lên: 20/06/2014, 22:20

... 0, and then by Lemma 2.4,wecantake ϕ k ∈ 0,π.Using2.25,wehaveϕ k Δψ k ,andthuscotΔψ k  p k /q k , and hence Δψ k Arccot  p k q k . 2.26 Let ω<0. Then, we defined Δψ k ∈ −π, 0 and ... basis  x u  ,  y v  .Then,  x u  has a generalized zero in k, k  1 if and only if ψ skips over an odd multiple of π/2 between k and k  1. Proof. Suppose that  x u  has a gene...

Ngày tải lên: 21/06/2014, 07:20

... applicable to both narrowband and wideband cyclostationary signals [6]. Xu and kailath then used the cyclic autocorrelation of the array output to estimate the DOA of wideband signals; the proposed method ... pages doi:10.1155/2009/539727 Research Article Generalized Wideband Cyclic MUSIC Zhang-Meng Liu, Zhi-Tao Huang, and Yi-Yu Zhou Department of Electronic Science and Engineering,...

Ngày tải lên: 21/06/2014, 20:20

... are iVEP is generalized type I LP well-posed if and only if VEP is generalized type I well-set and Ω is compact. iiVEP is generalized type II LP well-posed if and only if VEP is generalized ... X 0 .Then iVEP is generalized type I well-posed if and only if (P) is generalized type I well-posed; iiVEP is generalized type II well-posed if and only if (...

Ngày tải lên: 21/06/2014, 20:20

... L ´ opez, and R. Villa, Eds., vol. 64, pp. 195–225, Universities of Malaga and Seville, Sevilla, Spain, 2003. 10 W. A. Kirk, “Geodesic geometry and fixed point theory II,” in Fixed Point Theory and ... convex. 8 Fixed Point Theory and Applications Theorem 3.5. Let X be a complete CAT0 space and let K ⊆ X be nonempty, bounded, closed, and convex. Let T : K → K and for n ∈ N,...

Ngày tải lên: 21/06/2014, 20:20

... Inequalities and Applications [3] Z. Naniewicz and P. D. Panagiotopoulos, Mathematical Theory of Hemivariational Inequalities and Applications, vol. 188 of Monographs and Textbooks in Pure and Applied ... (u,v)-cocoercive and μ-Lipschitz continuous mapping, and let S be a nonexpansive mapping from C into itself such that F(S) ∩ VI(C,A) /=∅.LetT : H→2 H be a multivalued relaxed m...

Ngày tải lên: 21/06/2014, 22:20

... [4]andH-monotonicity [1, 2] have not only generalized the maximal monotonicity, but gave a new edge to resolvent operator methods. Recently, Verma [5] generalized the recently introduced and ... most interesting and important mathematical problems and have been studied intensively in the past years since they have wide applications in mechanics, physics, optimization and control,...

Ngày tải lên: 22/06/2014, 00:20

... Lions, and R. Tremolieres, Numerical Analysis of Variational Inequalities, Studies in Mathematics and Its Applications, North-Holland, Amsterdam, The Netherlands, 1981. 6 N J. Huang, “Mann and ... economics, transportation and engineering sciences, and optimization and control. Thanks to its wide applications, the classical variational inequality has been well studied and gen...

Ngày tải lên: 22/06/2014, 03:20