In this paper, we introduce the notions of fuzzy $alpha$-Geraghty contraction type mapping and fuzzy $beta$-$varphi$-contractive mapping and establish some interesting results on the existence and uniqueness of fixed points for these two types of mappings in the setting of fuzzy metric spaces and non-Archimedean fuzzy metric spaces. The main results of our work generalize and extend some known ...

In this paper we consider continuity of the set of fixed points and approximate fixed points for parameterized set-valued mappings. Continuity properties are provided for the fixed points of general multivalued mappings, with additional results shown for contraction mappings. Further analysis is provided for the continuity of the approximate fixed points of set-valued functions. Additional resu...

We describe a new algorithm named Region Contraction Algorithm for solving certain nonlinear equations, and establish the convergence of the algorithm and give an error estimation. It is shown that this gene­ ral theory includes all of present existing ball iterations as special cases. To find a zero of a quasi-strongly monotone mapping, which arises ofren from the field of differential equatio...

The purpose of this paper is to prove a common fixed point theorems for two pairs mappings under the generalized Z-contraction with respect concept simulation function in b-metric space. Our generalizes some literature [6, 13, 16, 18].

In this paper we study the existence of common fixed point for r-compatible mapping satisfying a generalized quasi contraction condition integral type in modular spaces Our results extend and generalize Beygmohammadi Razani [4] Moradi [25].