Abstract: The concept of Serendipity fixed point was initiated by Powar&Sahu in "Powar P. L. and Sahu G. R. K., (2013), Serendipity fixed point, International Journal of Mathematics and Computer Applications Research (IJMCAR) ISSN: 2249-6955: Vol. 3, Issue 3, 65-78". Recently, Wardowskihas investigated the existence & uniqueness of fixed point in view of the new concept of contraction viz. F-Contraction in "Wardowski D., (2012), Fixed Points of a new type of contractive mappings in complete Metric Spaces, Fixed Point Theory and Applications, 2012:94". Considering these two new ideas, in the present paper authors have established the existence and uniqueness of Serendipity fixed point with respect to the F-Contraction map. The definition of Serendipity fixed point has been emerged from the concept of weak completeness criterion.
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