in this paper, existence theorems for the fuzzy volterra-fredholm integral equations of mixed type (fvfiemt) involving fuzzy number valued mappings have been investigated. then, by using banach's contraction principle, sufficient conditions for the existence of a unique solution of fvfiemt are given. finally, illustrative examples are presented to validate the obtained results.

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...

We have previously reported that mechanical distention of alveolar epithelial type II cells in culture favored the expression of the type I cell phenotype and inhibited the expression of the type II cell phenotype. The objective of the present study was to investigate the effects of continuous mechanical contraction on the expression of specific markers for the type I and type II cell phenotype...

In this paper, we introduce a new sequential space as generalization of M − metricspaces and b metric spaces. generalized define two contractive mappings namely m contraction quasi-contraction prove some fixed point theorems for such type mappings. Several illustrative examples have been presented in strengthening the hypothesis our theorems.

In this work, we give a partial positive answer to the question concerning set-valued quasicontraction proposed by Amini-Harandi (Appl. Math. Lett. 24:1791-1794 2011). By useful lemma, prove fixed point theorem for quasi-contraction, which extends range of contraction constant in result from [0, 1/2) 1/3? 3). Also, new simple proof quasi-contraction type Haghi et al. 25:843-846 2012). Finally, ...

The MX beamlines allow scientists to investigate the fundamental structures of biological macromolecules, which are at the root of all life processes. Each of these molecules is made up of one or more proteins which are responsible for functions as diverse as energy storage, signalling, cell division and muscle contraction, amongst many others. MX also allows scientists to understand how chemic...

in the present paper, we introduces the notion of integral type contractive mapping with respect to ordered s-metric space and prove some coupled common fixed point results of integral type contractive mapping in ordered s-metric space. moreover, we give an example to support our main result.

We extend Thurston’s combinatorial criterion for postcritically finite rational maps to a class of rational maps with bounded type Siegel disks. The combinatorial characterization of this class of Siegel rational maps plays a special role in the study of general Siegel rational maps. As one of the applications, we prove that for any quadratic rational map with a bounded type Siegel disk, the bo...

We determine the nef cone and effective cone of the Hilbert scheme X[n] of points on the projective plane X = P2, characterize all the rational curves in X[n] of degree-1 with respect to some very ample line bundle, describe the moduli spaces of these curves, and study the contraction of the extremal ray on X[n]. Department of Mathematics, HKUST, Clear Water Bay, Kowloon, Hong Kong Department o...