in this paper we define weak $f$-contractions on a‎ ‎metric space into itself by extending $f$-contractions‎ ‎introduced by d‎. ‎wardowski (2012) and provide some fixed point‎ ‎results in complete metric spaces and in partially ordered complete ‎generalized metric spaces‎. ‎some relationships between weak‎ ‎$f$-contractions and $fi$-contractions are highlighted‎. ‎we also ‎give some application...

Abstract In this paper we consider iterated function systems (IFS) on the real line consisting of continuous piecewise linear functions. We assume some bounds contraction ratios functions, but do not any separation condition. Moreover, require that functions IFS are injective, their derivatives separated from zero. prove if fix all slopes perturb other parameters, then for parameters outside an...

The increasing rate of the Birkhoff sums in infinite iterated function systems with polynomial decay derivative (for example Gauss map) is studied. For different unbounded potential functions, Hausdorff dimensions sets points whos

Abstract Head pose estimation represents an important computer vision technique in different contexts where image acquisition cannot be controlled by operator, making face recognition of unknown subjects more accurate and efficient. In this work, starting from partitioned iterated function systems to identify the pose, regression models are adopted predict angular value errors (yaw, pitch roll ...