Cite this article:
Nashine (2005). Existence of a Fixed Point Result for Best Approximation for Compatible Mapping. Journal of Ravishankar University (Part-B: Science), 18(1), pp.41-48.
Journal of Ravishankar University Vol. 18 No.6 (Science) 2005 pp.4 l-48 ISSN 0970-5910
Existence of a Fixed Point Result
for Best Approximation for Compatible Mapping
Hemant Kumar Nashine
Department of Mathematics
Raipur Institute
of Technology. Raipur·492101
(Chhatlisgarh}. INDIA.
E-mail-hemantnashine@gmail.com
MS Received : 03/08/2005 Revised : 09/06/05 Accepted: 27/10/05
Abstract : The aim of the present
paper is to establish some results
on common fixed point theorem
for best approximation for family
of mappings. As a consequence, our results generalize
the works
due to Brosowski (1969), Hicks-Humpheries (1982), Sahab et al
(1988),
Singh
{1979)
and
others. Also, a common
fixed
point
theorem
is proved in compact
metric
spaces which extends the result
due to Som (2003). 2000 AMS Mathematics Subject
Classification: 41 ASO. 47HIO, 54H25.
Keywords and
phrases: Compact space.
normed space. best approximation,
fixed point. compatible
pair.
NOTE: Full version
of this manuscript is available in PDF.