Let h and g be two positive integers. We fix an element Ω of the Siegel upper half plane H g := Z ∈ C (g,g) | Z = t Z, Im Z > 0 of degree g once and for all. Let M be positive symmetric, even integral matrix of degree h. An entire function f on C (h,g) satisfying the transformation behaviour F (W + ξΩ + η) = exp −πiσ(M(ξΩ t ξ + 2W t ξ)) f (W) for all W ∈ C (h,g) and (ξ, η) ∈ Z (h,g) × Z (h,g) i...

B. Damjanovi? and D. Dori?, Multivalued generalizations of the Kannan fixed point theorem, Filomat , vol. 25 (1) , DOI: 10. 2298/FIL 1101125D, (2011), 125-131. B. E. Rhoades and M. Abbas, Maps satisfying generalized contractive condition of integral type for which F(T) = F(Tn), International Journal of Pure and Applied Mathematics, vol. 45, no. 2 (2008), 225-231. D. Dori? and R. Lazovi?, Some S...

We study locally compact contractive local groups, that is, locally compact local groups with a contractive pseudo-automorphism. We prove that if such an object is locally connected, then it is locally isomorphic to a Lie group. We also prove a related structure theorem for locally compact contractive local groups which are not necessarily locally connected. These results are local analogues of...

We study at T=0 the minimum energy of a domain wall and its gap to the first excited state, concentrating on two-dimensional random-bond Ising magnets. The average gap scales as deltaE1 approximately L(straight theta)f(N(z)), where f(y) approximately [ln y](-1/2), straight theta is the energy fluctuation exponent, L is the length scale, and N(z) is the number of energy valleys. The logarithmic ...

Let X be a reflexive Banach space which has a weakly sequentially continuous duality mapping. In this paper, we consider the following viscosity approximation sequence x n λ n fx n 1−λ n T n x n , where λ n ∈ 0, 1, {T n } is a uniformly asymptotically regular sequence, and f is a weakly contractive mapping. Strong convergence of the sequence {x n } is proved.

In [Coupled fixed points for a class of contractions in partially ordered spaces and applications, J. Comput. Anal. Appl. vol. 13, no. 6, (2011), 1123-1131], Jiandong Yin introduced the concept of a mixed g-comparable mapping F : X2 → X and proved coupled coincidence point theorems for a class of nonlinear contractive mappings. In this paper, we introduce the concept of a mixed g-comparable map...

We present a solution to a functional equation by means of the construction of a contractive operator on some functional space. This solutions presents a kind of self-similarity and enables us to generalize the model introduced by Cabrelli et al. in CFMV92] allowing a much greater exibility. In particular dilation equations of the type f (x) = P c k f (2x ? k) t into this model, and hence we ca...

The study of random fixed points has been an active area of contemporary research in mathematics. Some of the recent works in this field are noted in [1, 2, 3, 11]. In particular, random iteration schemes leading to random fixed points were introduced in [3]. After that, random iterations for finding solutions of random operator equations and fixed points of random operators have been discussed...

We establish some equivalent conditions for a homeomorphism $$\varphi : D\rightarrow D'$$ of Euclidean domains in $$\mathbb R^n$$ , $$n\ge 2$$ to induce bounded composition operator ^*: {L}^1_p(D';\omega ) \cap \text {Lip}_l(D')\rightarrow L^1_q(D;\theta )$$ where $$1< q \le p<\infty$$ by the rule: ^*(f)=f\circ \varphi$$ . Here $$\omega :D'\rightarrow (0,\infty is an arbitrary weight function o...

Parsing continuous acoustic streams into perceptual units is fundamental to auditory perception. Previous studies have uncovered a cortical entrainment mechanism in the delta and theta bands (~1-8 Hz) that correlates with formation of perceptual units in speech, music, and other quasi-rhythmic stimuli. Whether cortical oscillations in the delta-theta bands are passively entrained by regular aco...