In this paper, using the concept of measure of noncompactness, which is a very useful and powerful tools in nonlinear functional analysis, metric fixed point theory and integral equations, we introduce a new contraction on a Banach space. For this purpose by using of a measure of noncompactness on a finite product space, we obtain some generalizations of Darbo’s fixed-point theorem. Then, with ...

In this paper, we provide some generalizations of the Darbo's fixed point theorem and further develop notion $F$-contraction introduced by Wardowski in (\cite{wad}, D. Wardowski, \emph{Fixed points a new type contractive mappings complete metric spaces,} Fixed Point Theory Appl., 94, (2012)). To achieve this, introduce Darbo-type $F$-contraction, cyclic $(\alpha,\beta)$-admissible operator also...

Banach contraction principle is a fundamental result in fixed point theory and has been applied and extended in many different directions. In 2002, Branciari [3] obtained a fixed point theorem for a single mapping satisfying an analogue of Banach’s contraction principle for an integral type inequality. Aliouche [2] established a common fixed point theorem for weakly compatible mappings in symme...

Abstract In the present article, we introduce a new type of generalized multivalued orthogonal α - F contraction integral mappings in context metric spaces and establish some fixed point results. We construct an example to show existence this work. Our results substantially unify, generalize complement comparable existing literature. As application our results, derive periodic for single valued...

This study is devoted to investigate the problem whether existence and uniqueness of integral type contraction mappings on orthogonal metric spaces. At end, we give an example illustrative our main result.

Abstract In this article we make an improvement in the Banach contraction using a controlled function metric like spaces, which generalizes many results literature. Moreover, present application on Fredholm type integral equation.

In this paper we study the existence and uniqueness of solutions of a certain Fredholm type Riemann-Liouville integral equation of two variables by using Banach contraction principle.

Resistance training with eccentric contraction has been shown to augment muscle hypertrophy more than other contraction modes do (i.e., concentric and isometric contraction). However, the molecular mechanisms involved remain unclear. The purpose of this study was to investigate the effect of muscle contraction mode on mammalian target of rapamycin complex 1 (mTORC1) signaling using a standardiz...

Abstract In this paper, we introduce two new concepts of F -contraction, called dual $F^{*}$ F ∗ -weak contraction and triple contraction, which generalize the existing contractions in sense Wardowski, Jleli Samet as well Skof. These generalizations embed their roots ai...