We introduced a general class of contraction maps on a metric space, called Acontractions (that includes the contractions originally studied by R. Kannan, M. S. Khan at el, R. Bianchini, and S. Reich), and extended some common fixed point theorems on M. S. Khan’s contractions to general self maps of a metric space satisfying certain A-contraction type condition; in this paper, we prove exact an...

We report advances in quantitative fluorescent speckle microscopy to generate simultaneous maps of cytoskeleton flow and rates of net assembly and disassembly in living cells. We apply this tool to analyze the filamentous actin (F-actin) dynamics at the front of migrating cells. F-actin turnover and flow are both known to be factors of cell locomotion. However, how they are orchestrated to prod...

Introduction/purpose: The aim of this paper is to introduce the notion an interpolative generalised Meir-Keeler contractive condition for a pair self maps in fuzzy metric space, which enlarges, unifies and generalizes contraction only one map. Using this, we establish unique common fixed point theorem two through weak compatibility. article includes example, shows validity our results. Methods:...

Banach’s contraction principle plays an important role in several branches of mathematics. Because of its importance for mathematical theory, it has been extended in many direction. Especially, Nadler [23] gave a generalization of Banach’s contraction principle to the case of set-valued maps in metric spaces. The author [13] obtained a generalization of Nadler’s fixed point theorem. They proved...

BACKGROUND Spatio-temporal (ST) maps provide a method for visualizing a temporally evolving and spatially varying field, which can also be used in the analysis of gastrointestinal motility. However, it is not always clear what the underlying contractions are that are represented in ST maps and whether some types of contractions are poorly represented or possibly not at all. METHODS To analyze...

Random fixed point theorems for condensing 1-set contraction selfmaps are known. But no random fixed point theorem for more general asymptotic 1-set contraction selfmaps is yet available. The purpose of this paper is to prove random fixed point theorems for such maps. 1. Introduction. Random fixed point theorems are stochastic versions of (classical or deterministic) fixed point theorems and ar...

Manometry is used worldwide to assess motor function of the gastrointestinal tract, and the measured intraluminal pressure patterns are usually equated with contraction patterns. In the colon, simultaneous pressure increases throughout the entire colon are most often called simultaneous contractions, although this inference has never been verified. To evaluate the relationship between pressure ...

Introducing (ψ, ϕ) − Gb-Wardowski contraction for three maps, a common fixed point result is obtained complete Gb-metric spaces. An application related to discontinuous activation function in neural network also established.

An order-theoretic generalization of Seymour relations describing the connection between the set-theoretic blocker, deletion, and contraction maps on clutters, is presented.