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Ekelands variational principle and some related issues
... Lower semicontinuity properties of solution maps 99 Continuity of solution maps 104 Particular cases 106 6.1 Quasiequilibrium problems of type 106 6.2 Quasiequilibrium problems of type 109 6.3 A ... semicontinuity of set-valued maps and stability of general inclusion problems 82 Introduction 84 More about semicontinuity of set-valued maps 87 Table of Contents iv Upper semicontinuity properties ... where x0 is a given point such that Ψ(x0 , ) is quasibounded from below Then, the quasiboundedness and K-lower semicontinuity (or K-lower semicontinuity from above) of Ψ(x0 , ) clearly imply the...
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Báo cáo hóa học: "Research Article Equivalent Extensions to Caristi-Kirk’s Fixed Point Theorem, Ekeland’s Variational Principle, and Takahashi’s Minimization Theorem" ppt
... , we still have the inequality Otherwise, there would exist x ∈ X \ M u such that f x ≤ f v and p v, x ≤ ϕ v f v − f x 4.11 This with v ∈ M u and the triangle inequality yield p u, x ≤ ϕ u f ... l.s.c in its second variable, then there exists v ∈ X satisfying the above property and the following inequality: p u, v ≤ ϕ u f u − f v 4.8 Proof Similar to the proof of Theorem 4.1, the first ... singleton according to the property that p x1 , x {x0 } and f x0 infX f f x1 , from This implies that there exists x0 such that M x1 which and the triangle inequality we obtain ∅ / M x0 ⊆ M x1 ⊆...
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Báo cáo hóa học: " Research Article Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings" pdf
... ·,u z A Jη,M ·,u where ρ is a constant and Rη,M ·,u and I is the identity mapping Equation 2.17 is called the resolvent equation problem z Fixed Point Theory and Applications In support of problem ... implicit quasi-variational inclusions with set-valued mappings,” Journal of Inequalities and Applications, vol 7, no 6, pp 807– 828, 2002 R P Agarwal, Y J Cho, and N J Huang, “Sensitivity analysis ... and E∗ , d is the metric induced by the norm · , 2E resp., CB E is the family of nonempty resp., nonempty closed and bounded subsets of E, and H ·, · is the Housdorff metric on CB E defined by...
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Báo cáo hóa học: " Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces" doc
... )Txn ⊕ αn Tyn ), w) ≤ d2 ((1 − αn )Txn ⊕ αn Tyn , w) ≤ (1 − αn )d2 (Txn , w) + αn d2 (Tyn , w) − αn (1 − αn )d2 (Txn , Tyn ) ≤ (1 − αn )d2 (xn , w) + αn d2 (yn , w) − αn (1 − αn )d2 (Txn , Tyn ) ... αn Tyn , w) ≤ (1 − αn )d2 (xn , w) + αn d2 (Tyn , w) − αn (1 − αn )d2 (xn , Tyn ) ≤ (1 − αn )d2 (xn , w) + αn d2 (yn , w) − αn (1 − αn )d2 (xn , Tyn ) ≤ d2 (xn , w) − αn (1 − αn )d2 (xn , Tyn ... midpoint of the segment [y1, y2], then the CAT(0) inequality implies d2 (x, y0 ) ≤ 1 d (x, y1 ) + d2 (x, y2 ) − d2 (y1 , y2 ) 2 This is the (CN) inequality of Bruhat and Tits [10] In fact, a geodesic...
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Báo cáo hóa học: " Research Article Boundedness and Nonemptiness of Solution Sets for Set-Valued Vector Equilibrium Problems with an Application" ppt
... stability of the solution set of a so-called semicoercive variational inequality He 38 studied the stability of variational inequality problem with either the mapping or the constraint set perturbed ... stability analysis for a class of Minty mixed variational inequalities in reflexive Banach spaces, when both the mapping and the constraint set are perturbed They got a stability result for the Minty ... inequality in reflexive Banach spaces,” Journal of Mathematical Analysis and Applications, vol 330, no 1, pp 352–363, 2007 39 J H Fan and R Y Zhong, “Stability analysis for variational inequality...
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Báo cáo hóa học: " Research Article An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions" docx
... element of A Denote N M a collection of all nonempty subsets of M, C M a collection of all nonempty closed subsets of M and K M a collection of all nonempty sequentially compact subsets of M An element ... x ≤ lim infn → ∞ f xn A map f : M → E is called have lower semi-continuous property, and denoted by lsc property if for any sequence {xn } in M and x ∈ M, such that xn → x as n → ∞, then there ... y , is lower lsc property, and g : E → R with g x semi-continuous Now the Theorems 3.1 and 3.2 in is stated as the following corollaries without the assumption of normality, and by Lemma 2.10...
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Báo cáo hóa học: " Research Article Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector " pptx
... semicontinuity and lower semicontinuity, see 16 The following FKKM theorem plays a crucial role in this paper Lemma 2.7 Let X be a Hausdorff topological vector space Let K be a nonempty convex ... nonempty convex subset in X A set-valued map F : A × A → 2Y is called to be C-convex in its second variable if, for each fixed x ∈ A, for every y1 , y2 ∈ A, t ∈ 0, , the following property holds: ... ∈ A, t ∈ 0, , the following property holds: tF x, y1 − t F x, y2 ⊂ F x, ty1 − t y2 C 2.5 Definition 2.4 Let A be a nonempty convex subset in X A set-valued map F : A × A → 2Y is called to be C-concave...
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báo cáo hóa học:" Research Article Maximality Principle and General Results of Ekeland and Caristi Types without Lower " potx
... Principle of Ekeland Type and Fixed Point and Endpoint Theorem of Caristi Type in Cone Uniform Spaces with Generalized Pseudodistances Let 2X denote the family of all nonempty subsets of a space ... maximality principle are presented However, in all these papers assumptions about lower semicontinuity are essential Now, we present comparisons between our results and the well-known ones We may ... of Caristi Type Assume that a set-valued dynamic system X, T has the ω x − ω y } Then T has an endpoint in X property: ∀α∈A ∀x∈X ∀y∈T x {εα dα x, y Variational Principle of Ekeland Type For any...
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báo cáo khoa học: " Using Mitrofanoff’s principle and Monti’s technique as a surgical option for bladder augmentation with a continent stoma: a case report" pps
... intermittent catheterization along with anticholinergics in the presence of detrusor overactivity In severe cases (i.e., sphincter dyssynergia), there are greater risks of renal failure When ... by surgeries aimed at reducing bladder storage pressure Our service routinely uses ileocystoplasty and, for patients unable or not adapted to intermittent catheterization, Mitrofanoff’s principle ... vesicoureteral reflux Although his renal function was still preserved, bladder augmentation (ileocystoplasty) was indicated Page of We used 15 cm of ileum, 20 cm from the ileocecal valve, that was opened...
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FAILURES IN LOGISTICS MANAGEMENT OF VINALINK’S LOGISTICS DEPARTMENT AND RECOMMENDATIONS
... warehouse should have ability to perform much functionality, including: log stock movements and maintain balances, control stock location, monitor productivity and availability of resources such as ... economy - Flexibility - Availability - Little fuel consumption - Quick services - Reduction of double-handling (eliminated in full-load deliveries) - Flexibility - Regularity of services - High ... 10 2.2.1.3 Control and information system 10 2.2.1.4 Product integrity 11 2.2.1.5 Working condition and safety .11 2.2.2 Freight transport management 11 2.2.2.1 Choice of...
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CO2e emissions from HVAC equipment and lifetime operation for common U.S. building types
... value, adjusted for city-specific cost of labor and materials A larger building of the same specification, built in the same locality, would typically have a lower per square foot cost So, to ... Reliability Council of Texas (ERCOT) covers mainly the state of Texas Although the North American Electrical Reliability Corporation (NERC) oversee these grids through a 10 regional reliability councils, ... per unit area basis Varying costs associated with building type, city location, national average HVAC equipment cost, and individual city’s labor and material cost were incorporated Since this...
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Tài liệu Virtual PC’s Enhanced Rollout and Troubleshooting docx
... can also use this wizard to edit the size or type of an existing hard disk Virtual PC supports different types of hard drives The most popular three types are as follows Figure – Virtual Hard Disk ... either starting up or in use Not Running is a state that does not use any resources and is pretty much dormant Saved is a virtual machine that has been saved at a point in operation, very much ... Windows 2000, XP, and the new Vista operating system now available for download from Microsoft’s website Both will run legacy operating systems, however, Microsoft will not give official support...
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Tài liệu GRIMM’S FAIRY TALESJORINDA AND JORINDEL ppt
... Jorinda again In the morning when he awoke, he began to search over hill and dale for this pretty flower; and eight long days he sought for it in vain: but on the ninth day, early in the morning,...
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Tài liệu NIEHS/EPA Children’s Environmental Health and Disease Prevention Research Centers: Protecting Children’s Health for a Lifetime pptx
... likely than normally developing children to have impairments in mitochondrial activity, which may increase susceptibility to environmental exposures.This finding of dysfunction in mitochondrial energy ... differ in their ability to metabolize pesticides This finding is of particular concern during pregnancy and early childhood, as children not appear to fully develop the ability to metabolize some ... disorders, autism, and obesity are also being studied An additional component of these Centers is to administer outreach programs in close collaboration with the local community 3-Year Grants Funded...
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Tài liệu REPORT TO THE PRESIDENT PREPARE AND INSPIRE: K-12 EDUCATION IN SCIENCE, TECHNOLOGY, ENGINEERING, AND MATH (STEM) FOR AMERICA’S FUTURE docx
... innovation in education, by improving the quality of instructional materials available to teachers and students, aiding in the development of high-quality assessments that capture student learning, ... innovation in education, by improving the quality of instructional materials available to teachers and students, aiding in the development of high-quality assessments that capture student learning, ... (focused on providing additional support for students living in poverty and on increasing teacher and principal quality) that they may use at their discretion, including on STEM subjects Thus, the...
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Tài liệu The Significance of Privatization and Commercialization Trends for Women’s Health ppt
... to water quality Water privatization may also have an adverse effect on public health – again, an area dominated by women – if it leads to a decline in maintaining optimal water quality standards ... Canadians, argue that such partnerships have led to higher facility costs, poorer water quality, higher fees, reduced services, unequal access to water supplies, and increased maintenance deficiencies ... with disabilities, and First Nations women Biologically, women may have different vulnerabilities to water quality than men, which may in turn be influenced by other health determinants including...
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