In this paper we introduce a generalization of the concept of compatible mappings, and using that condition, we obtain some new fixed point theorems under both contractive and noncontractive conditions, which may allow the existence of a common fixed point or the existence of multiple fixed or coincidence points.
There is a viewpoint from which coupled fixed and coincidence point theorems can be considered as problems in product spaces [21].
The aim of this article is to study new theorems of common fixed and coincidence point for expansive mappings in cone metric spaces under a set of conditions.
The aim of this paper is to introduce the notion of almost contractive mapping F : X × X → X with respect to the mapping g : X → X and present some uniqueness and existence theorems of coupled fixed and coincidence point.
In this paper, we adopt a different and constructive method to prove some coupled fixed and coincidence point results for contractive mappings defined on an ordered closed convex subset of a quasi-Banach space.
Many efforts are also devoted to the formulation of extensions of the above problems to the study of existence and uniqueness of best proximity points in cyclic self-mappings, [8, 13, 14, 16 21], to that of proximal contractions, [13, 14] and to the characterization of approximate fixed and coincidence points, [22, 23].
In this article, we define coincidence classes by fixing lifts f ̃, g ̃ : M ̃ 1 → M ̃ 2 of f and g, where p 1 : M ̃ 1 → M 1 and p 2 : M ̃ 2 → M 2 are universal covers.
In this paper, first, we introduce the concept of almost generalized ((alphamboxpsimboxvarphimboxtheta) )-contractive mappings, and then we prove some common fixed point and coincidence fixed point theorems for this class of mappings in partially ordered complete b-metric spaces.
In fact, recently, the existence of coupled fixed points, coupled coincidence points, coupled common fixed points, and common fixed points for nonlinear mappings with two variables has attracted more and more attention.
