Vol. 5 (02) pp. 260-262 DOI: 10.21474/IJAR01/3141

ON FIXED POINT THEOREM IN WEAK CONTRACTION PRINCIPLE.

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Abstract

The study of Fixed Point Theorem has been widely done in many fields. The Banach Fixed Point Theorem plays important role in this theory. It becomes milestone in the various paths in this field. In this paper we have discussed existence and uniqueness of fixed point in more general conditions. The concept of weak contraction mapping over contractive metric space is discussed. In general, for a function f:X ?X to have a fixed point, weak contraction is not a sufficient condition for function. Additionally function needs to be a compact to have a fixed point. Banach contraction principle is one of the directive theorems in the analysis of the result.

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How to Cite This Article

Ashwin kumar Raosaheb Chavan and Uttam P Dolhare. (2017); ON FIXED POINT THEOREM IN WEAK CONTRACTION PRINCIPLE., Int. J. of Adv. Res., 5 (02), 260-262, ISSN 2320-5407. DOI: https://doi.org/10.21474/IJAR01/3141

Corresponding Author

CHAVAN ASHWINKUMAR RAOSAHEB

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