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http://dx.doi.org/10.7858/eamj.2012.039

COMMON FIXED POINT THEOREM FOR OCCASIONALLY WEAKLY BAISED MAPPINGS AND ITS APPLICATION TO BEST APPROXIMATION  

Deshpande, Bhavana (Department of Mathematics, Govt. Arts and Science P. G. College)
Chouhan, Suresh (Department of Mathematics, Govt. Girls College)
Publication Information
East Asian mathematical journal / v.28, no.5, 2012 , pp. 543-552 More about this Journal
Abstract
The aim of this paper is to prove a common fixed point theorem in normed linear spaces for discontinuous, occasionally weakly biased mappings without assuming completeness of the space. We give an example to illustrare our theorem. We also give an application of our theorem to best approximation theory. Our theorem improve the results of Gregus [9], Jungck [12], Pathak, Cho and Kang [22], Sharma and Deshpande [26]-[28].
Keywords
Common fixed point; (E.A) property; occasionally weakly biased mappings; best approximation;
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