نتایج جستجو برای: commonfi xed point

تعداد نتایج: 528963  

An idea of fuzzy reexivity of Felbin's type fuzzy normed linear spaces is introduced and its properties are studied. Concept of fuzzy uniform normal structure is given and using the geometric properties of this concept xed point theorems are proved in fuzzy normed linear spaces.

Jachymski [ Proc. Amer. Math. Soc., 136 (2008), 1359-1373] gave modified version of a Banach fixed point theorem on a metric space endowed with a graph. In the present paper, (G, Φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. Also, Hardy-Rogers G-contraction have been introduced and some fixed point theorems have been proved. S...

1997
Ki-Il Kum Jiyang Kang Wonyong Sung

An automatic scaling C program translator is developed for the eecient execution of application programs in xed-point digital signal processors. The program for range estimation is automatically generated by inserting codes which collect the statistics of each signal during the simulation. With the range information, the number of shifts needed for the scaling is determined and the oating-point...

1996
Seehyun Kim Ki-Il Kum Wonyong Sung

Two xed-point optimization utility programs, the range estimator and the xed-point simulator, are developed for scaling and wordlength determination of digital signal processing algorithms written in C or C++ language. By exploiting the operator overloading characteristics of C++ language, range estimation and xed-point simulation can be conducted just by modifying the variable declaration of t...

M. Eshaghi R. Farrokhzad S.A.R. Hosseinioun

We say a functional equation () is stable if any function g satisfying the equation () approximatelyis near to true solution of (). Using xed point methods, we investigate approximately higherternary derivations in Banach ternary algebras via the Cauchy functional equationf(1x + 2y + 3z) = 1f(x) + 2f(y) + 3f(z) :

G. S. Saluja

In this paper, we prove that an implicit iterative process with er-rors converges strongly to a common xed point for a nite family of generalizedasymptotically quasi-nonexpansive mappings on unbounded sets in a uniformlyconvex Banach space. Our results unify, improve and generalize the correspond-ing results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] andmany others.

1997
Jiyang Kang Wonyong Sung

A xed-point C compiler is developed for convenient and efcient programming of TMS320C50 xed-point digital signal processor. This compiler supports the `fix' data type that can have an individual integer word-length according to the range of a variable. It can add or subtract two data having di erent integer word-lengths by automatically inserting shift operations. The accuracy of xed-point mult...

1994
Alfons Geser Jens Knoop

In this paper we present a new xed point theorem applicable for a countable system of recursive equations over a wellfounded domain. Wellfoundedness is an essential feature of many computer science applications as it guarantees termination of the corresponding xed point computation algorithms. Besides being a natural restriction, it marks a new area of application, where not even monotonicity i...

1994
Alfons Geser Jens Knoop

In this paper we present a new xed point theorem applicable for a countable system of recursive equations over a wellfounded domain. Wellfoundedness is an essential feature of many computer science applications as it guarantees termination of the corresponding xed point computation algorithms. Besides being a natural restriction, it marks a new area of application, where not even monotonicity i...

1993
Alex K. Simpson

The paper addresses the question of when the least-xed-point operator, in a cartesian closed category of domains, is characterised as the unique dinatural transformation from the exponentiation bifunctor to the identity functor. We give a suucient condition on a cartesian closed full subcategory of the category of algebraic cpos for the characterisation to hold. The condition is quite mild, and...

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