Some Generalized Fixed Point Theorems of Contraction Type Mappings in Quasi Metric Spaces

Abstract

This paper adjusts conditions on new defined given the name {a, d, c; r} ctype of contraction mappings on complete quasi metric space, confirms that there is only one fixed of any of these mappings with these adjustments, extends and generalizes results given in some previous research papers, and then builds a convergence theorem for a sequence of fixed points of {S_n}_n∈N;{w_n^*}_n∈N to the unique fixed of S; w, provided that lim_n→∞  S_n(w) = S(w).