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... well-known that the spaces Lp , l p , and p Wm are p-uniformly convex if p > and 2-uniformly convex if < p ≤ and a Hilbert space H is uniformly smooth and 2-uniformly convex Let E be a real Banach ... λ)φ(v, y) + a} is closed and convex Parallel Hybrid Iterative Methods for VIs, EPs, and FPPs Lemma [1] Let {xn } and {yn } be two sequences in a uniformly convex and uniformly smooth real Banach ... obtained in this paper extend and modify the corresponding results of Zegeye and Shahzad [22], Takahashi and Zembayashi [20], Anh and Chung [4], Anh and Hieu [5], and others The paper is organized

Ngày tải lên: 16/12/2017, 08:55

... E A R C H Open AccessA hybrid iteration scheme for equilibrium problems and common fixed point problems of mappings in Banach spaces Jing Zhao*and Songnian He * Correspondence: zhaojing200103@163.com ... one-to-one, surjective, and it is the dua-lity mapping from E* into E and thus JJ-1= IE*and J-1J = IE (see, [3]) It is also well known that if E is uniformly smooth if and only if E* is uniformly convex ... is closed and convex; (5)j(q,Trx) +j(Trx, x)≤ j(q, x), ∀q Î F(Tr) Lemma 1.7 Let E be a uniformly convex and uniformly smooth Banach space, C a nonempty, closed and convex subset of E and T a closed

Ngày tải lên: 01/11/2022, 08:31

... Cn is closed and convex for all n For n 1, we have C C1 which is closed and convex Assume that Cn for some n ≥ is closed and convex; from Lemma 2.2, we have that Cn is also closed and convex; ... → and from A3 , we get Fk ω, y ≥ for all y ∈ C and ω ∈ EP Fk for each k holds 3.34 1, 2, , M, that is, ω ∈ ∩M EP Fk Hence 3.23 k 10 Journal of Inequalities and Applications Step From 3.6 and ... methods for equilibrium problems and strict pseudocontractions In this paper, motivated by 5, 8–12 , applying parallel and cyclic algorithms, we obtain strong convergence theorems for finding a common

Ngày tải lên: 21/06/2014, 07:20

... on {α n } and {r n}, the sequences{x n } and {u n } converge strongly to z ∈ FixS ∩ EPF, where z  PFixS∩EPFfz. Let E be a uniformly smooth and uniformly convex Banach space, and let ... infn → ∞ α n 1 − α n  > 0 and {r n } ⊂ a, ∞ for some a > 0. On the other hand, Combettes and Hirstoaga 1 introduced an iterative scheme for finding a common element of the set of solutions ... implicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of infinite family of nonexpansive mappings in a Hilbert space and obtained

Ngày tải lên: 21/06/2014, 11:20

... functions are constructed for regularand singular boundary-value problems for ODEs, the Helmholtz equation, and linearnonstationary equations The investigation of semilinear problems with Nonlocal ... Introduction The study of boundary-value problems for linear differential equations was initiated bymany authors The formulae of Green’s functions for many problems with classical boundaryconditions ... Research Article Green’s Function for Discrete Second-Order Problems with Nonlocal Boundary Conditions Svetlana Roman and Art ¯uras ˇStikonas Institute of Mathematics and Informatics, Vilnius University,

Ngày tải lên: 21/06/2014, 11:20

... Convergence Comparison of Several Iteration Algorithms for the Common Fixed Point Problems Yisheng Song and Xiao Liu College of Mathematics and Information Science, Henan Normal University, 453007, ... 4exists for each x, y ∈ SE; ii a uniformly Gˆateaux differentiable norm, if for each y in SE,the limit 2.2 is uniformly attained for x ∈ SE; iii a Fr´echet differentiable norm, if for each ... 2.2 is attained uniformly for y ∈ SE; iv a uniformly Fr´echet differentiable norm we also say that E is uniformly smooth, if the limit 2.2 is attained uniformly for x, y ∈ SE × SE

Ngày tải lên: 21/06/2014, 20:20

... Article Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value Problems on Time Scales Meiqiang Feng,1 Xuemei Zhang,2, 3 Xianggui Li,1 and Weigao Ge3 ... 1Tpositive solutions for a class of singular boundary value problems on time scales The results significantly extend and improve many known results for both the continuous case and more general time ... operator σt at t for t < sup Tρt at t for t > infT by 2.1 for all t∈ T We assume throughout that T has the topology that it inherits from the standard topology on R and say t is right

Ngày tải lên: 21/06/2014, 20:20

... that for every λ ≥ λ∗ 1,1.4 has at least one positive solution u ∈ C0, 1 ∩ C10, 1 and u > 0 for t ∈ 0, 1. Theorem 1.2 Suppose G1, H1, H2 and the following conditions hold: G3 for ... Trang 34and we have for n ≥ n0, r ∈ 0, c2,1 R P Agarwal and D O’Regan, Singular Differential and Integral Equations with Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, ... Value Problems, World Scientific, River Edge, NJ, USA, 1994. 4 P Habets and F Zanolin, “Upper and lower solutions for a generalized Emden-Fowler equation,” Journal of Mathematical Analysis and

Ngày tải lên: 21/06/2014, 20:20

... conditions and related results for convex infinite problems. It is known as generalized Farkas’ lemma and was established recently in [3]. Lemma 2.1 [3] Suppose that σ is (FM) and (CC) holds. For ... get .,)()()( supp Cxzfxfxf t tt ∈∀−≥+ ∑ ∈ ελ λ Since 0≥ t λ and 0)( ≤xf t for all Ax ∈ and for all Tt ∈ , ε −≥ )()( zfxf for all ,Ax∈ which proves z to be an ε -solution of (P). We ... for each Tt ∈ , 0, 21 ≥ ε ε and 0≥ t ε for all Tt ∈ into account. Science & Technology Development, Vol 10, No.12 - 2007 Trang 34 Corollary 3.2 Let 0≥ ε and let .fdomAz ∩ ∈ For

Ngày tải lên: 22/07/2014, 06:20

... EST sets for common bean Results: Two full-length cDNA libraries were constructed: one for the drought tolerant Mesoamerican genotype BAT477 and the other one for the acid-soil tolerant Andean ... available for common bean and our sequencing of these clones substantially increases the number of unique EST sequences available for the common bean genome All of this should be useful for both ... a need for additional EST sequencing in common bean and other tropical legumes especially for tissues affected by the drought and soil or weather stresses that are very important issues for productivity

Ngày tải lên: 11/08/2014, 11:21

... and organized the study and wrote the manuscript NH and MCC and MCG performed the laboratory work for BMc marker evaluation. NH and MCC helped in writing the manuscript and preparing tables and ... from both EST sequencing and hybridization based approaches performed equally well in distinguishing Andean and Mesoamerican gene-pools and the Argentinean, Colombian and Mexican wild beans as ... basic for studies of the transcriptome of common bean and can form anchor points for genetic mapping studies in the future * Correspondence: mwblaircgiar@gmail.com 1 CIAT - International Center for

Ngày tải lên: 11/08/2014, 11:21

... Are the tester's elbow, arm and forearm in the same position for each test? Note the difference in the examiner's elbow, arm and fore-arm positions in Figures 2 and 15 One can readily see the ... embarcadero for inconsistency All too many well-meaning clinical investigators observed the phenomena of muscles strengthening and weakening during standard AK and MMT procedures, and have Published: ... deals with some of the most common mistakes that have been adopted in the use of the MMT and how they are improperly performed and misinterpreted Future clinical and research activity using the

Ngày tải lên: 13/08/2014, 14:20

... still be analysed for common features by looking for codependence vectors that eliminate common cycles Extracting Common Trends and Common Cycles The existence of cointegrating and cofeature vectors ... Testing Procedure for Common 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 for Common Trends’, Journal of American Statistical Association, 83, 1,097-107 Vahid, F and Engle, R F (1993), Common Trends and Common Cycles’,...

Ngày tải lên: 15/03/2014, 14:20

... method for generalized mixed equilibrium problems and fixed point problems and variational inequality problems Taiwanese J Math 12, 1401–1433 (2008) Peng, JW, Yao, JC: Two extragradient method for ... method for addressing fixed point problems and system of equilibrium problems Thai J Math 8(2):275–292 (2010) Jung, JS: Strong convergence of composite iterative methods for equilibrium problems and ... descent method for common solutions of generalized mixed equilibrium problems and fixed point problems Fixed Point Theory and Applications 2011 2011:32 Submit your manuscript to a journal and benefit...

Ngày tải lên: 21/06/2014, 01:20

... 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 problems and common fixed points for asymptotically quasi-j-nonexpansive mappings Fixed Point Theory and Applications ... developed the shrinking projection method for solving (mixed) equilibrium problems and fixed point problems in Hilbert and Banch spaces; see, [12,15,16,47-57] and references therein Recently, Qin...

Ngày tải lên: 21/06/2014, 02:20

... 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...

Ngày tải lên: 21/06/2014, 02:20

... 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 problems and 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 problems and the set of common...

Ngày tải lên: 21/06/2014, 05:20

... 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...

Ngày tải lên: 14/10/2015, 08:20

... 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,...

Ngày tải lên: 05/09/2013, 15:28

... 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...

Ngày tải lên: 16/03/2014, 21:20