Under the conditions of Theorem 1,
A. Proof of Theorem 1
... Conditions on A n The first obvious condition is that the (A n ) n∈N is a sequence of non-negative matrices such that A i , A i+1 have the correct size to be multiplied together. Secondly, as we calculate ...
9
Existence theorem and optimality conditions for a class of convex
... sufficient conditions formulated in Theorem 1, are also ”almost” necessary for existence of an optimal solution in the convex SIP problem ...sufficient conditions appear only in the case, when ...
17
Appendix A. A.1 Proof of Theorem 1
... assume conditions (C1)–(C11) to hold throughout, even though some of the following results may hold under a subset of these ...of Theorem 1 provided in Appendix A.1 requires three ...
17
Common fixed point theorem in intutionistic fuzzy metric space under strict contractive conditions
... In this paper, using the idea of intuitionistic fuzzy sets, we define the notion of intuitionistic fuzzy metric spaces with the help of continuous t-norms and continuous t-conorms as a generalization of fuzzy metric ...
6
Mazur Ulam theorem under weaker conditions in the framework of 2 fuzzy 2 normed linear spaces
... other conditions from a fuzzy 2-normed linear space to another fuzzy 2-normed linear space is affine, and to give a new result of the Mazur-Ulam theorem for 2-isometry in the framework of 2-fuzzy 2-normed ...
9
Strong convergence theorem for totally quasi-ϕ-asymptotically nonexpansive multi-valued mappings under relaxed conditions
... We construct a relaxed hybrid shrinking iteration algorithm for approximating common fixed points of a countable family of totally quasi- φ -asymptotically nonexpansive multi-valued mappings. A strong convergence ...
12
The Bernstein-Von-Mises theorem under misspecification
... Mises theorem asserts that the posterior distribution of a parameter in a smooth finite-dimensional model is approximately a normal dis- tribution if the number of observations tends to ...this theorem is ...
28
Afriat's Theorem and Some Extensions to Choice under Uncertainty
... required: conditions (88) can be replaced by the following supergradient conditions: ρ k t ∈∂γ(x k t ), ρ k t = [α k t ] −1 λ t u t p k t , k = ...= 1 to allow for stochastic preferences that ...
31
New fixed point theorem under R-contractions
... celebrated theorem in order to guarantee that a nonlinear operator had a fixed ...contractivity conditions that depend on aux- iliary functions (comparison functions, Geraghty functions, altering distance ...
18
Complete Characterization of Functions Satisfying the Conditions of Arrow\u27s Theorem
... problem under the slightly more general framework of Wilson [9], who proves an extension of Arrow’s ...preferences. Under this weaker restriction, Wilson shows, in his first theorem, that a ...
14
City size and the Henry George theorem under monopolistic competition
... The main objective of this paper is threefold. First, we extend the monopolistic competition model with variable elasticity of substitution (henceforth, VES) by Behrens and Murata (2006a) to a mono- centric city setting. ...
25
City Size and the Henry George Theorem under Monopolistic Competition
... sufficient conditions for the HGT to hold at the second best in gen- eral equilibrium models of monopolistic ...sufficient conditions for each case is left for future ...
21
The convergence theorem for fourth order super Halley method in weaker conditions
... In this paper, we establish the Newton-Kantorovich convergence theorem of a fourth-order super-Halley method under weaker conditions in Banach space, which is used to solve the nonlinear equations. ...
12
Savage's Theorem Under Changing Awareness
... 6 The general case I now lift the temporary restriction to exhaustive states. Recall that each above ‘axiom’, ‘theorem’ or ‘proposition’, and most ‘definitions’ and ‘remarks’ continue to apply as stated. The three ...
66
The Envelope Theorem 1
... Envelope theorem is a corollary of the Karush-Kuhn-Tucker theorem (KKT) that characterizes changes in the value of the objective function in response to changes in the parameters in the ...Envelope ...
6
BARLEY GROWN UNDER LIMITING WATER CONDITIONS 1
... determinant under temperature and stress ...because under different environmental conditions these two processes (grain filling duration or rate) can adjust to reach the same seed ...
6
1. Importance of Enforcement under the Current Market Conditions
... Greece etc.) where the mortgage is one single (longer) document which also includes all the covenants referred to above. From an enforcement perspective, the type of mortgage is important. For instance in the case of the ...
11
CHAPTER 1 CEVA S THEOREM AND MENELAUS S THEOREM
... HAPTER 1 C EVA ’ S T HEOREM AND M ENELAUS ’ S T HEOREM The purpose of this chapter is to develop a few results that may be used in later ...useful theorem concerning the area ratio of two triangles with a ...
21
2 Proof of Theorem 1
... L(n 1 , n 2 , . . . , n k ) denote the poset of order ideals of the poset n 1 × n 2 × · · · × n k , where n is an n-element ...n 1 parts and largest part at most n 2 , ordered by inclusion of Young ...
8
2 Proof of Theorem 1
... n). In Section 4, we describe a somewhat surprising better embedding, with distortion only O(n 5/12 ). This is already optimal according to Proposition 1. Several interesting problems remain open. The obvious ones ...
11