... still be analysed forcommon features by looking for codependence vectors that eliminate common cycles Extracting Common Trends andCommon Cycles The existence of cointegrating and cofeature vectors ... Testing Procedure forCommon Cycles Having discussed the properties of common trends and cycles, it remains to describe how codependence and hence common cycles can be tested for Vahid and Engle (1993) ... 1,095-112 Stock, J H and Watson, M W (1988), ‘Testing forCommon Trends’, Journal of American Statistical Association, 83, 1,097-107 Vahid, F and Engle, R F (1993), Common Trends andCommon Cycles’,...
... method for generalized mixed equilibrium problemsand fixed point problemsand variational inequality problems Taiwanese J Math 12, 1401–1433 (2008) Peng, JW, Yao, JC: Two extragradient method for ... method for addressing fixed point problemsand system of equilibrium problems Thai J Math 8(2):275–292 (2010) Jung, JS: Strong convergence of composite iterative methods for equilibrium problemsand ... descent method forcommon solutions of generalized mixed equilibrium problemsand fixed point problems Fixed Point Theory and Applications 2011 2011:32 Submit your manuscript to a journal and benefit...
... closed and convex for each n ≥ Indeed, it is obvious that C1 = C is closed and convex Suppose that Ci is closed and convex for each i Î N Next, we prove that Ci+1 is closed and convex For any ... Saewan and Kumam: The shrinking projection method for solving generalized equilibrium problemsandcommon fixed points for asymptotically quasi-j-nonexpansive mappings Fixed Point Theory and Applications ... developed the shrinking projection method for solving (mixed) equilibrium problemsand fixed point problems in Hilbert and Banch spaces; see, [12,15,16,47-57] and references therein Recently, Qin...
... C and x − PC (x), PC (x) − y ≥ (2:1) for all x Î H and y Î C It is easy to see that (2.1) is equivalent to x−y ≥ x − PC (x) for all x Î H and y Î C + y − PC (x) (2:2) Peng Fixed Point Theory and ... )b2 Aun ], for every n = 1, 2, and hence u Î Cn So, Ω ⊂ Cn for every n = 1, 2, Next, let us show by mathematical induction that xn is well defined and Ω ⊂ Cn ∩ Qn for every n = 1, 2, For n = we ... monotone, and Î Tv if and only if v Î V I(C, A) Let (v, g) Î G(T) Then Tv = Av + NCv and hence g - Av Î NCv Hence, we have 〈v - t, g - Av〉 ≥ for all t Î C On the other hand, from tn = PC(un lnAyn) and...
... defined and En is closed and convex for any n ≥ From the assumption, we see that E1 E is closed and convex Suppose that Ek is closed and convex for some k ≥ Next, we show that Ek is closed and convex ... methods for equilibrium problemsand fixed point problems, ” Applied Mathematics and Computation, vol 213, no 2, pp 498–505, 2009 17 J K Kim, S Y Cho, and X Qin, “Hybrid projection algorithms for generalized ... method for finding a common element of the set of fixed points of strictly pseudocontractive mappings, the set of common solutions of generalized mixed equilibrium problemsand the set of common...
... is well-known that spaces p Lp , lp and Wm are p-uniformly convex if p > and -uniformly convex if < p ≤ and a Hilbert space H is uniformly smooth and 2-uniformly convex Let E be a real Banach ... hybrid iterative methods for VIs, EPs, and FPPs for all ∈ [0, 2] Note that E is uniformly convex if only if δE ( ) > for all < ≤ and δE (0) = Let p > 1, E is said to be p-uniformly convex if there ... On the other hand, for finding a common P K Anh, D.V Hieu element in F (T ) EP (f ), Takahashi and Zembayashi [20] introduced the fol- lowing algorithm in a uniformly smooth and uniformly convex...
... operational and M&P, from commercial buildings’ HVAC equipment in different geographical locations and climate regions; and, for various building types and fuel sources Methodology and approach ... along with the “Machinery and Engines” and “Air conditioning, Refrigeration, and Warm Air Heating Equipment” for the appropriate industry and sector categories Results and discussion The following ... people (1291) and related ventilation and, to a lesser amount, the load from internal equipment and lights For example, the hospital average lighting and plug loads were 12.68 W/m2 and 23.18 W/m2,...
... advice and food for extra thought, all in handy dandy list form Part VI: Appendixes Here’s where you find websites you can visit to get even more information about this investment tool and a glossary ... Investing For Dummies and Index Investing For Dummies No stranger to the mass media, Wild has shared his wit and wisdom on such shows as Oprah, The View, CBS Morning News, and Good Day New York, and ... 317-572-4002 For technical support, please visit www.wiley.com/techsupport Wiley publishes in a variety of print and electronic formats and by print-on-demand Some material included with standard print...
... received from the UNFPA and the Governments of The Netherlands, Norway, Sweden, and the United Kingdom of Great Britain and Northern Ireland WHO gratefully acknowledges the technical and editorial assistance ... Pregnancy, Childbirth, Postpartum and Newborn Care: A Guide for Essential Practice and Managing Complications in Pregnancy and Childbirth: A Guide for Midwives and Doctors This guide is complementary ... fluid and breast milk for a sick baby weighing 1.75 to 2.5 kg F-28 Volumes of IV fluid and breast milk for a sick baby weighing 1.5 to 1.749 kg F-29 Volumes of IV fluid and breast milk for a...
... following conditions: (S1) T (0)x = x for all x ∈ H; (S2) T (s + t) = T (s)T (t) for all s, t ≥ 0; (S3) T (s)x − T (s)y ≤ x − y for all x, y ∈ H and s ≥ 0; (S4) for all x ∈ H, s → T (s)x is continuous ... iteration for hierarchical fixed-point problems Inverse Problems 23, 1635–1640 (2007) [3] Mainge, PE, Moudafi, A: Strong convergence of an iterative method for hierarchical fixed-point problems Pacific ... point problemsand variational inequality problems J Appl Math Comput 31, 433–445 (2009) [11] Yao, Y, Cho, YJ, Liou, YC: Iterative algorithms for hierarchical fixed points problemsand variational...
... methods forcommon solutions for equilibrium and hierarchical fixed point problems Optim (in press) doi:10.1080/02331930903524688 14 Ceng, LC, Petrusel, A: Krasnoselski-Mann iterations for hierarchical ... method for hierarchical fixed-point problems Pacific J Optim 3, 529–538 (2007) Yao, Y, Liou, YC: Weak and strong convergence of Krasnoselski-Mann iteration for hierarchical fixed point problems ... following conditions: (S1) T(0)x = x for all x Î H; (S2) T(s + t) = T(s)T(t) for all s, t ≥ 0; (S3) ||T(s)x - T(s)y|| ≤ ||x - y|| for all x, y Î H and s ≥ 0; (S4) for all x Î H, s ® T(s)x is continuous...
... H) and h ¯ is a potential function for g f (i.e., h’(x) = g f(x) for all x Î H) For this kind of optimization problems, see, for example, Bauschke and Borwein [19], Combettes [20], Deutsch and ... the problem (1.4) for a Lipschitz and relaxed-cocoercive mapping and fixed point problems of nonexpansive mappings, and in 2008, Peng and Yao [1] studied an iterative scheme for the problem (1.1), ... as special cases, fixed point problems, optimization problems, variational inequality problems, minmax problems, Nash equilibrium problems in noncooperative games, and others; see [2,4-6] Recently,...
... extragradient method for fixed point problemsand variational inequality problems Taiwanese J Math 10(5), 1293–1303 (2006) Moudafi, A: Viscosity approximation methods for fixed-points problems J Math ... In addition, from (3.9) and xn+1 - xn ® 0, it follows that tn+1 - tn ® Therefore, utilizing the uniform continuity of S and Lemma 2.4, we know that limn®∞ ||Sxn - xn|| = and limn®∞ ||Stn - tn|| ... is maximal monotone and Î Tv if and only if v Î Ω; see [33] Let (v, w) Î G(T) Then, we have w Î Tv = Av + NCv and hence w - Av Î NCv Therefore, we have 〈v - u, w - Av〉 ≥ for all u Î C In particular,...
... all x, y ∈ C1 and n ∈ N and |T n x − T n y| = ≤ |x − y| for all x, y ∈ C2 and n ∈ N For x Î C1 and y Î C2, we have |T n x − T n y| = |kn x − 0| ≤ kn |x − y| + kn |y| ≤ |x − y| + kn for all n ∈ ... Together with (3.11) and (A4) we have, for each k = 1, 2, , M, that ≥ Fk (y, ω), ∀y ∈ C For any,
... of common elements for equilibrium problemsand fixed point problems in Banach spaces,” Journal of Computational and Applied Mathematics, vol 225, no 1, pp 20–30, 2009 18 X Qin and Y Su, “Approximation ... 1958–1965, 2007 20 X Qin, M Shang, and Y Su, “Strong convergence of a general iterative algorithm for equilibrium problemsand variational inequality problems, ” Mathematical and Computer Modelling, vol ... Mathematical Analysis and Applications, vol 329, no 1, pp 336–346, 2007 26 X Qin, M Shang, and Y Su, “A general iterative method for equilibrium problemsand fixed point problems in Hilbert spaces,”...
... and Cn is closed and convex for any n ∈ N It is obvious that C1 C is closed and convex Suppose that Ck is closed and convex for some k ≥ Now, we show that Ck is closed and convex for some k For ... iterative algorithm for finding a common element of the set of solution for a system of equilibrium problemsand the set of common fixed points for a finite family of nonexpansive mappings and a nonexpansive ... Y Wang, D S Shyu, and J.-C Yao, Common solutions of an iterative scheme for variational inclusions, equilibrium problems, and fixed point problems, ” Journal of Inequalities and Applications,...