We prove that the family of all invariant sets of iterated systems of contractions R → R is a nowhere dense Fσ type subset in the space of the non-empty compact subsets of R equipped with the Hausdorff metric. An iterated function system (IFS for short) is a finite collection (T1, . . . , Tn) of weak contractions of a metric space X. By a weak contraction we mean a mapping T : X → X such that d...

We prove some common coupled fixed point theorems for contractive mappings in fuzzy metric spaces under geometrically convergent t-norms.

Recently, Rahimi et al. [Comp. Appl. Math. 2013, In press] defined the concept of quadrupled fied point in K-metric spaces and proved several quadrupled fixed point theorems for solid cones on K-metric spaces. In this paper some quadrupled fixed point results for T-contraction on K-metric spaces without normality condition are proved. Obtained results extend and generalize well-known comparable...

Let T be a CQ(N) contraction on a separable Hubert space and let / — S(qPi) ffi S(<p¿) © • • ■ ®5(qpt) be its Jordan model, where m„ qpj,.. ., <pk are inner functions satisfying <ty|m,_i for j = 2, 3,..., k, and S(<fj) denotes the compression of the shift on H2 Q <PjH2,j 1, 2,..., k. In this note we show that T is reflexive if and only if S^/ipi) is. In this note we only consider bounded linear...

Background: The transverse abdominis (TrA) muscle is one of the most important muscles that contribute to the stability of the lumbar spine. Strengthening of trunk muscles that have a significant role in trunk stability is very important in the field of professional sport, sport medicine and rehabilitation of patient with low back pain (LBP). Identifying the exercises that can improve the stren...

How do effector CD4 T cells escape cell death during the contraction of the immune response (IR) remain largely unknown. CD47, through interactions with thrombospondin-1 (TSP-1) and SIRP-α, is implicated in cell death and phagocytosis of malignant cells. Here, we reported a reduction in SIRP-α-Fc binding to effector memory T cells (T(EM)) and in vitro TCR-activated human CD4 T cells that was li...

1 I N T R O D U C T I O N The central question in the theory of belief revision is what is meant by a minimal change of a state of belief. The well-known AGM rationali ty postulates for contraction (AlchourrSn et al. 1985, G£rdenfors 1988) partially answer tha t question: ( K i ) K A is a theory.

The paper is concerned with the asymptotic behavior of solutions to a second order nonlinear differential equation u′′ + f (t, u) = 0. Using the Banach contraction principle, we establish global existence of solutions which satisfy u(t) = At + o(tν) as t→ +∞, where A ∈ R and ν ∈ (0, 1].

This paper studies a general p-contractive condition of self-mapping T on X, where X ,d is either metric space or dislocated space, which combines the contribution to upper-bound dTx , Ty, x and y are arbitrary elements in weighted combination distances dx,y dx,Tx,dy,Ty,dx,Ty,dy,Tx, dx,Tx−dy,Ty dx,Ty−dy,Tx. The asymptotic regularity convergence Cauchy sequences unique fixed point also discussed...

CD4(+) T cells promote CD8(+) T cell priming by licensing dendritic cells (DCs) via CD40-CD154 interactions. However, the initial requirement for CD40 signaling may be replaced by the direct activation of DCs by pathogen-derived signals. Nevertheless, CD40-CD154 interactions are often required for optimal CD8(+) T cell responses to pathogens for unknown reasons. Here we show that CD40 signaling...