AN APPLICATION OF A FIXED-POINT THEOREM TO BEST APPROXIMATION FOR GENERALIZED AFFINE MAPPING

2007 ◽  
Vol 107A (2) ◽  
pp. 131-136
Author(s):  
Hemant Kumar Nashine
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Best Approximation ◽  
Affine Mapping

scholarly journals Common fixed point and best approximation results for subcompatible mappings in hyperbolic ordered metric spaces

2015 ◽  
Vol 24 (1) ◽  
pp. 77-82
Author(s):  
SAVITA RATHEE ◽  
◽  
SAVITA REETU ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Best Approximation ◽  
Metric Spaces ◽  
Ordered Metric Space ◽  
Ordered Metric Spaces ◽  
Common Fixed Point Theorem

In the present paper we establish a common fixed point theorem and apply it to find new best approximation results for ordered subcompatible mappings in the hyperbolic ordered metric space. Our results unify, generalize and complement various known results.

scholarly journals An application of fixed point theorems in best approximation theory

1998 ◽  
Vol 21 (3) ◽  
pp. 467-470 ◽  
Author(s):  
H. K. Pathak ◽  
Y. J. Cho ◽  
S. M. Kang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Approximation Theory ◽  
Best Approximation ◽  
Fixed Point Theorems

In this paper, we give an application of Jungck’s fixed point theorem to best approximation theory, which extends the results of Singh and Sahab et al.

scholarly journals A RESULT ON BEST APPROXIMATION

1998 ◽  
Vol 29 (3) ◽  
pp. 223-226
Author(s):  
NASEER SHAHZAD
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Best Approximation ◽  
Common Fixed Point Theorem

Using a common fixed point theorem for noncommuting mappings of Pant [4], we improve and extend a result of Sahab, Khan and Sessa [5] on best approximation.

scholarly journals The best approximation and an extension of a fixed point theorem of F. E. Browder

1995 ◽  
Vol 18 (4) ◽  
pp. 745-748
Author(s):  
V. M. Sehgal ◽  
S. P. Singh
Keyword(s):  
Fixed Point ◽  
Continuous Function ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Best Approximation ◽  
Fixed Point Theorems ◽  
Affine Map ◽  
The Best Approximation

In this paper, theKKMprinciple has been used to obtain a theorem on the best approximation of a continuous function with respect to an affine map. The main result provides extensions of some well-known fixed point theorems.

scholarly journals PERAN FAKTOR PENYEKALA PADA KONSTRUKSI INTERPOLASI FRAKTAL

2012 ◽  
Vol 7 (2) ◽  
Author(s):  
Marwan Marwan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Iterated Function System ◽  
Scaling Factor ◽  
Vertical Scaling ◽  
Necessary Condition ◽  
Affine Mapping ◽  
Fractal Interpolation Function ◽  
The Fixed Point Theorem

Abstrak: Telah diketahui bahwa suatu fungsi fraktal  yang menginterpolasi data  sedemikian hingga  untuk   dapat dikonstruksi dari suatu Sistem Fungsi Iterasi (SFI) berdasarkan teorema titik tetap pada pemetaan kontraktif. Dengan mengambil suatu bentuk pemetaan Affine, yang merupakan salah satu bentuk pemetaan kontraktif untuk SFI, dapat dibuktikan eksistensi atraktor SFI dimaksud yang tidak lain merupakan interpolan fraktal dari data terkait. Faktor penyekala  yang termuat di dalam pemetaan affine memegang peran sebagai syarat perlu eksistensi dan ketunggalan fungsi interpolasi fraktal suatu data. Syarat perlu tersebut berlaku pada batasan nilai . Kata kunci : interpolan fraktal, SFI, teorema titik tetap, pemetaan affine, faktor penyekala. Abstract: It is known that a fractal functions   that interpolated the data  such that ,  can be constructed from an Iterated Function System (IFS) based on The Fixed Point Theorem on contractive mappings. By taking a certain Affine Mapping, which is a form of contractive mapping on IFS, the existence of IFS’ attractor can be proven as the  fractal interpolan of related data. The vertical scaling factor  contained in the affine mapping role as a necessary condition of existence and uniqueness of a fractal interpolation function data. The necessary condition of   is on the interval . Keywords :    fractal interpolan, IFS, The Fixed Point Theorem, Affine Mapping,  vertical scaling factor)

Sign in / Sign up

Export Citation Format

Share Document