Let E be a reflexive Banach space with a weakly sequentially continuous duality mapping, C be a nonempty closed convex subset of E, f : C → C a contractive mapping (or a weakly contractive mapping), and T : C → C a nonexpansive mapping with the fixed point set F (T ) 6= ∅. Let {xn} be generated by a new composite iterative scheme: yn = λnf(xn)+(1−λn)Txn, xn+1 = (1−βn)yn+βnTyn, (n ≥ 0). It is pr...

For an action of a finite cyclic group $F$ on $n$-dimensional noncommutative torus $A\_\theta$, we give sufficient conditions when the fundamental projective modules over which determine range canonical trace extend to crossed product $C^\*$-algebra $A\_\theta \rtimes F$. Our results allow us understand F$, and it completely for several examples including products 2-dimensional tori with groups...

Probabilistic metric space was first introduced by Menger [6]. Later, there are many authors who have some detailed discussions and applications of a probabilistic metric space, for example, we may see Schweizer and Sklar [8]. Besides, there are many results about fixed point theorems in a probabilistic metric space with contractive types having appeared; we may see the papers [1–3, 9–12]. In t...

Let E be a reflexive Banach space with a uniformly Gâteaux differentiable norm. Suppose that every weakly compact convex subset of E has the fixed point property for nonexpansive mappings. Let C be a nonempty closed convex subset of E, f : C → C a contractive mapping or a weakly contractive mapping , and T : C → C nonexpansive mapping with the fixed point set F T / ∅. Let {xn} be generated by a...

A strong coloring on a cardinal $\kappa$ is function $f:[\kappa]^2\to \kappa$ such that for every $A\subseteq of full size $\kappa$, color $\gamma<\kappa$ attained by $f\upharpoonright[A]^2$. The symbol $\kappa\nrightarrow [\kappa]^2_\kappa$ asserts the existence $\kappa$. We introduce $\kappa\nrightarrow_p[\kappa]^2_\kappa$ which over partition $p:[\kappa]^2\to\theta$. $f$ $p$ if $A\in [\kappa...

The aim of this paper is to extend the Kannan fixed point theorem from single-valued self mappings T : X → X to mappings F : X3 → X satisfying a Prešić-Kannan type contractive condition: d (F (x, y, z) , F (y, z, u)) ≤ k 8 [d (x, F (x, y, z)) + d (y, F (y, x, y))+ +d (z, F (z, y, x)) + d (y, F (y, z, u)) + d (z, F (z, y, z)) + d (u, F (u, z, y))], or a Prešić-Chatterjea type contractive conditi...

in a fuzzy metric space (x;m; *), where * is a continuous t-norm,a locally fuzzy contraction mapping is de ned. it is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. also, if f satis es the locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition.

Quaternionic analysis is a branch of classical referring to different generalizations the Cauchy-Riemann equations quaternion skew field \(\mathbb H\) context. In this work we deals with H-\)valued \((\theta , u)-\)hyperholomorphic functions related elements kernel Helmholtz operator parameter \(u \in \mathbb H\), just in same way as usual quaternionic set harmonic functions. Given domain \(\Om...

We develop the continuous self-avoiding walk (CSAW) methodology for investigating temperature dependent thermodynamic properties of finite polymer chains without imposing a lattice. This leads to a new concept: the free energy theta temperature, T(theta)(F), at which the free energy is proportional to chain length. Above T(theta)(F), the polymer chain-solvent mixture leads to a single phase, wh...

We derive exact results for correlations in the displacement fields $\{ \delta \vec{r} \} \equiv \{ r_{\mu = x,y} \}$ near-crystalline athermal systems two dimensions. analyze produced by different types of microscopic disorder, and show that disorder at scale gives rise to long-range with a dependence on system size $L$ given $\langle r_{\mu} r_{\nu} \rangle \sim c_{\mu \nu}(r/L,\theta)$. In a...