Fixed Point Theorems in Complete Metric Spaces
نویسنده
چکیده
THE STUDY in fixed point theory has generally developed in three main directions: generalization of conditions which ensure existence, and, if possible, uniqueness, of fixed points; investigation of the character of the sequence of iterates (T”x)~~~, where T: X + X, X a complete metric space, is the map under consideration; study of the topoligical properties of the set of fixed points, whenever T has more than one fixed point. This note treats only some aspects of the first and second question, along a line followed by many other authors. We mention, in particular, De Blasi [3], Kannan [4], Opial [7], Reich [S-lo]. More precisely we consider maps T: X -+ X, which satisfy conditions of the type
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