Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 10 (2015), 159 -- 168

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SOME COMMON FIXED POINT THEOREMS USING IMPLICIT RELATION IN 2-BANACH SPACES

M. Pitchaimani and D. Ramesh Kumar

Abstract. In this article, we study the existence and uniqueness of a common fixed point of family of self mappings satisfying implicit relation on a 2-Banach space. We also prove well-posedness of a common fixed point problem.

2010 Mathematics Subject Classification: 47H10; 54H25.
Keywords: common fixed point; asymptotically T-regular; well-posedness; 2-Banach space.

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M. Pitchaimani D. Ramesh Kumar
University of Madras, University of Madras,
Chepauk, Chennai - 600005, Chepauk, Chennai - 600005,
Tamil Nadu, India. Tamil Nadu, India.
E-mail: mpitchaimani@yahoo.com E-mail: rameshkumard14@gmail.com

http://www.utgjiu.ro/math/sma