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Common fixed point theorem for occasionally weakly baised mappings and its application to best approximation

Bhavana Deshpande|Suresh Chouhan
영남수학회 (Youngnam Mathematical Society)|2012.11|East Asian Mathematical Journal|제28권 제5호|pp. 543-552|DOI http://dx.doi.org/10.7858/eamj.2012.039

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참고문헌

키워드

Common fixed point(E.A) propertyoccasionally weakly biased mappingsbest approximation.
주제분류수학

초록

The aim of this paper is to prove a common fixed point theo- rem in normed linear spaces for discontinuous, occasionally weakly biased mappings without assuming completeness of the space. We give an exam- ple to illustrare our theorem. We also give an application of our theorem to best approximation theory. Our theorem improve the results of Gre- gus [9], Jungck [12], Pathak, Cho and Kang [22], Sharma and Deshpande [26]-[28].

Abstract

The aim of this paper is to prove a common fixed point theo- rem in normed linear spaces for discontinuous, occasionally weakly biased mappings without assuming completeness of the space. We give an exam- ple to illustrare our theorem. We also give an application of our theorem to best approximation theory. Our theorem improve the results of Gre- gus [9], Jungck [12], Pathak, Cho and Kang [22], Sharma and Deshpande [26]-[28].

참고문헌 (34)

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