On distribution functions of the derivatives of weakly differentiable mappings

Some Perturbed Inequalities of Ostrowski Type for Functions whose n-th Derivatives Are Bounded

We firstly establish an identity for $n$ time differentiable mappings Then, a new inequality for $n$ times differentiable functions is deduced. Finally, some perturbed Ostrowski type inequalities for functions whose $n$th derivatives are of bounded variation are obtained.

C-Class Functions and Remarks on Fixed Points of Weakly Compatible Mappings in G-Metric Spaces Satisfying Common Limit Range Property

In this paper, using the contexts of C-class functions and common limitrange property, common fixed point result for some operator are obtained.Our results generalize several results in the existing literature. Some examplesare given to illustrate the usability of our approach.

Modified Halpern Iteration of Asymptotically Non-Expansive Mappings

$C$-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 ...

Fixed point theorems under weakly contractive conditions via auxiliary functions in ordered $G$-metric spaces

We present some fixed point results for a single mapping and a pair of compatible mappings via auxiliary functions which satisfy a generalized weakly contractive condition in partially ordered complete $G$-metric spaces. Some examples are furnished to illustrate the useability of our main results. At the end, an application is presented to the study of exi...