Fixed points in k complete metric spaces

Common Fixed Points of Two Commuting Mappings in Complete Metric Spaces

Fixed fuzzy points of generalized Geraghty type fuzzy mappings on complete metric spaces

Generalized Geraghty type fuzzy mappings oncomplete metric spaces are introduced and a fixed point theorem thatgeneralizes some recent comparable results for fuzzy mappings incontemporary literature is obtained. Example is provided to show thevalidity of obtained results over comparable classical results for fuzzymappings in fixed point theory. As an application, existence of coincidencefuzzy p...

Metric-like spaces, partial metric spaces and fixed points

By a metric-like space, as a generalization of a partial metric space, we mean a pair (X ,σ ), where X is a nonempty set and σ : X × X →R satisfies all of the conditions of a metric except that σ (x, x) may be positive for x ∈ X . In this paper, we initiate the fixed point theory in metric-like spaces. As an application, we derive some new fixed point results in partial metric spaces. Our resul...

common fixed points of two commuting mappings in complete metric spaces

Fixed Point Theorems in Complete Metric Spaces

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, wheneve...