@Article{ATA-28-1,
author = {Sumit Chandok and T. D. Narang},
title = {Common Fixed Points with Applications to Best Simultaneous Approximations},
journal = {Analysis in Theory and Applications},
year = {2012},
volume = {28},
number = {1},
pages = {1--12},
abstract = {For a subset K of a metric space (X,d) and x ∈ X,P_K(x)={y∈K : d(x, y)= d(x, K) ≡inf{d(x, k) : k ∈K}} is called the set of best K-approximant to x. An element g◦ ∈ K is said to be a best simultaneousapproximation of the pair y1,y2 ∈ X ifmaxd(y1, g◦), d(y2, g◦)}= inf_{g∈K} max{d(y_1, g), d(y_2, g)}. In this paper, some results on the existence of common fixed points for Banach operatorpairs in the framework of convex metric spaces have been proved. For self mappings Tand S on K, results are proved on both T- and S- invariant points for a set of best simultaneousapproximation. Some results on best K-approximant are also deduced. The resultsproved generalize and extend some results of I. Beg and M. Abbas[1], S. Chandok and T.D.Narang[2], T.D. Narang and S. Chandok [11], S.A. Sahab, M.S. Khan and S. Sessa[14], P.Vijayaraju[20] and P. Vijayaraju and M. Marudai[21].},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2012.v28.n1.1},
url = {http://global-sci.org/intro/article_detail/ata/4535.html}
}