Mathematics and Statistics Vol. 2(1), pp. 39 - 47
DOI: 10.13189/ms.2014.020106
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Fixed and Periodic Point Theorems on Symmetric Spaces

J Madhusudan Rao ¹, P Sumati Kumari ^2,*
1 Vijaya College of Engineering,Ammapalem,Khammam, India
² Department of Mathematics, K L University,Green fields, Vaddeswaram, A.P, 522502, India

ABSTRACT

This paper proves the existence of periodic and fixed points for self maps satisfying some contractive conditions in symmetric space and also we prove coincidence and fixed points without continuity requirement satisfying a slightly more general Seghal’s contractive conditions with suitable example.

KEYWORDS
Symmetric Space,(E.A)property, Weak commutativity, Compatible Mappings, Coincidence Point, Periodic Point, Fixed Point

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] J Madhusudan Rao , P Sumati Kumari , "Fixed and Periodic Point Theorems on Symmetric Spaces," Mathematics and Statistics, Vol. 2, No. 1, pp. 39 - 47, 2014. DOI: 10.13189/ms.2014.020106.

(b). APA Format:
J Madhusudan Rao , P Sumati Kumari (2014). Fixed and Periodic Point Theorems on Symmetric Spaces. Mathematics and Statistics, 2(1), 39 - 47. DOI: 10.13189/ms.2014.020106.