Note on strict contractive conditions and common fixed point theorems with application

Strict Contractive Conditions and Common Fixed Point Theorems in Cone Metric Spaces

A lot of authors have proved various common fixed-point results for pairs of self-mappings under strict contractive conditions in metric spaces. In the case of cone metric spaces, fixed point results are usually proved under assumption that the cone is normal. In the present paper we prove common fixed point results under strict contractive conditions in cone metric spaces using only the assump...

Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces

$C$-class Functions and Common Fixed Point Theorems Satisfying $varphi $-weakly Contractive Conditions

In this paper, we discuss and extend some recent common fixed point results established by using $varphi-$weakly contractive mappings. A very important step in the development of the fixed point theory was given by A.H. Ansari by the introduction of a $C-$class function. Using $C-$class functions, we generalize some known fixed point results. This type of functions is a very important class of ...

Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings

Common fixed point theorems for generalized contractive mappings with applications

Certain common fixed point results involving four mappings satisfying generalized contractive conditions on a cone metric type space are obtained. Our results substantially improve and extend a number of known results. An example is given in support of the new results developed here. As an application, we establish the existence of a solution for an implicit integral equation. MSC: Primary 47H0...