Fixed points are also called as invariant points. Invariant point theorems very essential tools in solving problems arising different branches of mathematical analysis. In the present paper, we establish three unique common using two self-mappings, four self-mappings and six bicomplex valued metric space. first theorem, generate a theorem for by weaker conditions such weakly compatible, general...

In this paper, we introduce two new concepts, generalized ?-?-FZ-contraction and modified ?-?-FZ-contraction, which unify several types of contractions in the context fuzzy metric spaces. We discuss existence uniqueness results such mappings setting a complete space sense George Veeramani present significant consequences our obtained by using variant examples for FZ-simulation functions admissi...

Abstract The aim of this paper is to broaden the applicability convex orbital $(\alpha, \beta )$ ( α , β ) -contraction mappings geodesic spaces. This class a natural extension iterated contraction mappings. derives fixed-point theorems both ...

In this paper, at first, we introduce $alpha_{mu}$-admissible, $Z_mu$-contraction and  $N_{mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions   via $alpha$-admissible simulation mappings, as well. Our results  can be viewed as extension of the corresponding results in this area.  Moreover, some examples and an application to funct...

In this paper we propose a new iteration process, called AK iteration process, for approximation of fixed points for contraction mappings. We show that our iteration process is faster than the leading Vatan Two-step iteration process for contraction mappings. Numerical examples are given to support the analytic proofs. Stability of AK iteration process and data dependence result for contraction...

The Banach contraction principle is one of the pivotal results in the metric fixed-point theory. It is a popular tool for the solution of existence problems in various fields of mathematics. There are several generalizations of the Banach contraction principle in the related literature on the metric fixed-point theory. Ran and Reurings [15] extended the Banach contraction principle in partially...