Fixed Point Theorem in Sequence of Hausdorff Left (Right) Sequentially Complete Quasi-Gauge Spaces Dr. Gupta K.P.* Asstt. Prof. (Mathematics), Govt. Nehru P.G. College, Burhar, (Shahdol) M.P. *Corresponding Author: kpgupata1950@gmail.com
Online published on 5 February, 2014. Abstract P. V. Subrahmanyam in the paper [7] has exploited the technique of Banach's contraction principle in proving the fixed point theorem in Hausdorff left (right) sequentially complete quasi-gauge spaces. He has not only generelised the results of Chatterjea [1], Kannan [2,3], Reilly[4,5] and Singh[6], but unified their results by takeing the quasi-gauge spaces due to Reilly [4]. All these authors have only proved the fixed point theorem for a single complete metric space. In this paper I have followed the above technique in proving the fixed point for sequence <X_(n)> of Hausdorff left (right) sequentially complete quasi-gauge spaces, by defining their Cartesian product as a set  of sequences <x_(n)> where  given by the quasi-pseudo –metric  And also we generaliges the Kannan's result for sequence of Hausdorff left(right) sequentially complete quasi-gauge spaces. Top Keywords Streaming fluids, Walters’ fluid, porous media, effective interfacial tension. Top |