It can also be noted from Figure 4 that the optimisa- tion results of the restricted-set full search algorithm consis- tently (i.e., over the entire examined range [5 dB, 100 dB]) require higher implementation costs for the same level of numeric performance then both the greedy and the branch- and-b[r]
Agarwal et al. [12] studied strongly continuous semigroups of Lipschitz pseudocontrac- tions and proved the strong convergence theorems of fixed points in an arbitrary Banach space based on an implicit iterative algorithm. Theorem A . Let E be an arbitrary Banach space and K a[r]
XI In 2008, Kulpa and Szymanski 45 introduced a series of theorems called Infimum Principles in simplicial spaces. As for applications, they derive fixed point theorems due to Schauder, Tychno ff , Kakutani, and Fan-Browder: minimax theorems, the Nash equilibrium theor[r]
They are: A.Predicting the quotient‟s coefficient function; B.Adjusting the quotient‟s coefficient to obtain the predicted quotient function; C.Obtaining the quotient value and the rem[r]
Corollary 3.6. Let ( X, ≤ ) be a partially ordered set and ( X, G ) be a complete G -metric space. Let F : X × X → X and g : X → X be continuous mappings such that F has the mixed g -monotone property and g commutes with F . Assume that there exist non-negative real numbers a,[r]
Corollary 3.6. Let ( X, ≤ ) be a partially ordered set and ( X, G ) be a complete G -metric space. Let F : X × X → X and g : X → X be continuous mappings such that F has the mixed g -monotone property and g commutes with F . Assume that there exist non-negative real numbers a,[r]
contractive condition proposed in [3] includes as particular cases several of the previously proposed ones [1, 4 – 12], including Banach principle [5] and Kannan fixed point theorems [4, 8 , 9 , 11]. The rational contractive conditions of [1 , 2][r]
with respect to the partial order ¹ . From (2) we find that { ϕ ( x α ) } α ∈ Γ is a decreasing net of reals, where Γ is a directed set. Since ϕ is bounded below, then inf α ∈ Γ ϕ ( x α ) is meaningful. Let { α n } be an increasing sequence of elements from Γ such that
Hidetoshi Komiya and Sehie Park Received 30 August 2007; Accepted 16 November 2007 Recommended by Anthony To-Ming Lau Recently, Jafari and Sehgal obtained an extension of the Himmelberg fixed point theorem based on the Kakutani fixed-point theorem. We give gene[r]
equations 1.1 – 1.10 are special cases of 1.11 . By using Schauder fixed point theorem and Krasnoselskii fixed point theorem, the existence of bounded nonoscillatory solutions of 1.11 is established. Lemma 1.1 Schauder fixed point theorem . L[r]
A subset A ⊂ X is called open if, for each x ∈ A , there exist t > 0 and 0 < r < 1 such that B x, r, t ⊂ A . Let τ denote the family of all open subsets of X . Then τ is called the topology on X induced by the fuzzy metric M . This topology is Hausdor ff and f[r]
Throughout this paper, by R we denote the set of all real nonnegative numbers, while N is the set of all natural numbers. We digress briefly to list some notations and review some definitions. Let X and Y be two Hausdor ff topological spaces, and let T : X → 2 Y be a set- valued mapping. Th[r]
This article discusses three weak φ - contractive conditions of rational type for a class of 2- cyclic self-mappings defined on the union of two non-empty subsets of a metric space to itself. If the space is uniformly convex and the subsets are non - empty, close[r]
We use chain methods to prove fixed point results for maximalizing mappings in posets. Concrete examples are also presented. 1. Introduction According to Bourbaki’s fixed point theorem cf. 1 , 2 a mapping G from a partially ordered set X[r]
Example 8.8: Dot Product with No Parallel Instructions for Floating-Point Implementation Using ASM Code (dotpnpfloat) Figure 8.8 shows the ASM code dotpnpfloat.asm for the dot product with a floating-point implementation using no instructions in parallel. The l[r]
ε r . The plot is symmetrical about θ = 90 ◦ , so only the range from 0 ◦ to 90 ◦ is shown. Notice the similarity of this plot to that of Fig. 3.1 for the fixed-point case. It has been observed that filter structures generally have very similar fixed-point[r]
In any placement iteration, FastPlace skips the calculation of stabilizing fixed points and immediately imposes a Hg × W g regular grid structure on the placement area. For each grid bin b, the bin utilization U ( b ) is calculated. Subsequently, cells are shifted first in the x-dire[r]
were disappointing and did little to bring artificial intelligence applications to market. One reason that artificial intelligence programs have not performed as well as it was hoped seems to be that they simply don't know as much as humans do. In the early 1990s, Douglas L[r]
Token Ring-----Define a virtual ring using the source-bridge ring-group command and include a source- bridge command that tells the router to bridge from the external Token Ring to that virtual ring. Ethernet-----Traffic that originates on Ethernet is picked up from t[r]