Abstract We develop a theory of existence minimizers energy functionals in vectorial problems based on nonlocal gradient under Dirichlet boundary conditions. The model shares many features with the peridynamics and is also applicable to solid mechanics, especially nonlinear elasticity. This was introduced an earlier work, inspired by Riesz’ fractional gradient, but suitable for bounded domains....

we introduce a new one-step iteration process to approximate common fixed points of twononexpansive mappings in banach spaces and prove weak convergence of the iterative sequence using (i)opial’s condition and (ii) kadec-klee property. strong convergence theorems are also established in banachspaces and uniformly convex banach spaces under the so-called condition ( a ), which is weaker thancom...

This paper argues that various kinds of displaced structures in English should be licensed by a more explicitly formulated type of rule schema in order to deal with what is called weak connectivity in English. This paper claims that the filler and the gap site cannot maintain the total identity of features but a partial overlap since the two positions need to obey the structural forces that com...

Let G be a region in the complex plane such that there is a nonconstant bounded holomorphic function on G, and denote the algebra of all such functions by BH{G). Let H^{G) denote the Banach algebra that arises when BH{G) is endowed with the supremum norm. In the case where G is the unit disc D, H*>(G) has been extensively studied, mostly by a real-variables analysis of the radial boundary value...

We show that a metric Jordan curve Γ is bounded turning if and only if there exists a weak-quasisymmetric homeomorphism φ : S1 → Γ.