In this paper, we construct a new iterative scheme by hybrid projection method and prove strong convergence theorems for approximation of a common element of set of common fixed points of an infinite family of asymptotically quasi-φ-nonexpansive mappings, set of solutions to a variational inequality problem and set of common solutions to a system of generalized mixed equilibrium problems in a u...

The paper studies quasi interpolation by scaled shifts of a smooth and rapidly decaying function. The centers are images of a smooth mapping of the hZn lattice in Rs, s n, and the scaling parameters are proportional to h. We show that for a large class of generating functions the quasi interpolants provide high order approximations up to some prescribed accuracy. Although the approximants do no...

This article investigates some properties of quasi-cyclic and cyclic Jungck modified TS-iterative schemes in complete metric spaces and Banach spaces. In particular, properties of convergence of distances and sequences associated with the self-mappings which define the Jungck modified TS-iterative procedures are studied as well as some properties concerning the convergence of the solution to co...

*Correspondence: [email protected] Department of Mathematics and Computer Science, Institut National Des Sciences Appliquée et de Technologie de Tunis, Carthage University, Centre Urbain Nord BP 676, Tunis, 1080, Tunisia Abstract Herein, we search for some best proximity point results for a novel class of non-self-mappings T : A−→ B called generalized proximal α-β-quasi-contractive. We illus...

A new result in convex analysis on the calculation of proximity operators in certain scaled norms is derived. We describe efficient implementations of the proximity calculation for a useful class of functions; the implementations exploit the piece-wise linear nature of the dual problem. The second part of the paper applies the previous result to acceleration of convex minimization problems, and...

Whilst there are a number of location sensing games emerging for mobile phones, there are few examples of social proximity based games that are effectively position independent. Bluetooth would seem an obvious choice for proximity based games, although the majority of games produced to-date simply uses it to provide a quasi peer to peer connection between users of multiplayer games. In this dem...

We consider the problem of optimizing the sum of a smooth convex function and a non-smooth convex function using proximal-gradient methods, where an error is present in the calculation of the gradient of the smooth term or in the proximity operator with respect to the non-smooth term. We show that both the basic proximal-gradient method and the accelerated proximal-gradient method achieve the s...