Fixed Point Theory

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The purpose of this book is to provide a primary resource for anyone interested in fixed point theory in Non-Archimedean Menger Probabilistic Metric Space. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in Mathematical Analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers. The topics treated range from fairly standard results (such as Banach contraction principle, Brouwer’s and Schauder’s fixed point theorems) to the frontier of what is known, but I have not tried to achieve maximal generality in all possible directions. I hope that the reference quoted may be useful for this purpose. The point of view adapted in this book is that of functional analysis. A knowledge of functional analysis is not a prerequisite, although a knowledge of an introductory course in functional analysis would be profitable.