Abstract The current study is devoted to deriving some results about existence and stability analysis for a nonlinear problem of implicit fractional differential equations (FODEs) with impulsive integral boundary conditions. concerned involves proportional type delay term. By using Schaefer’s fixed point theorem Banach’s contraction principle, the required conditions are developed. Also, differ...

in this paper, we introduce a new concept of - -ϕ-contractive integral type mappings and establish some new xed point theorems in complete metric spaces.

The main purpose of this manuscript is to prove a common fixed point theorem for two weakly compatible maps satisfying the following integral type contraction in \(G\)-metric space:\[\int^{G(\mathcal{F}x,\mathcal{F}y,\mathcal{F}z)}_0\varphi (t)dt\le \alpha \int^{L(x,y,z)}_0\varphi (t)dt,\] all \(x,y, z\in X\), where\begin{align*}L(x,y,z)&=\max\{G(gx, gy, gz), G(gx, \mathcal{F}x, \mathcal{F}...

in this paper, some results of the chebyshev type integral inequality for the pseudo-integral are proven. the obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. finally, we applied our results  to the case of comonotone functions.

In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. Finally, we applied our results  to the case of comonotone functions.

background: the vascular function of angiotensin ii-type-2 receptors in adults is controversial. we sought their location and function in mouse aortic rings at young and old mice. materials and methods: male c57bl mice (aged 4 and 14 months) were killed by co2. the descending thoracic aorta was cleaned and dissected into rings. aortic rings were mounted in krebs’ solution at 37 °c and then setu...

In 2007, Huang and Zhang in 1 introduced cone metric space by substituting an ordered Banach space for the real numbers and proved some fixed point theorems in this space. Many authors study this subject and many fixed point theorems are proved; see 2–5 . In this paper, the concept of integral in this space is introduced and a fixed point theorem is proved. In order to do this, we recall some d...