In this paper, we establish existence and uniqueness results for a new class of boundary value problems involving the ?-Hilfer generalized proportional fractional derivative operator, supplemented with mixed nonlocal conditions including multipoint, integral multiorder operators. The given problem is first converted into an equivalent fixed point problem, which then solved by means standard the...

In this paper we describe the properties of independent components of optical ow of moving objects. Video sequences of objects seen by an observer moving at various angles, directions and distances are used to produce optical ow maps. These maps are then processed using independent component analysis, which yields lters that resemble the receptive elds of dorsal medial superior temporal cells o...

We enrich the known results about tripled fixed points and best proximity points. generalize notion of ordered pairs cyclic contraction maps we obtain sufficient conditions for existence uniqueness (or proximity) get a priori posteriori error estimates points, provided that underlying Banach space has modulus convexity power type in case obtained by sequences successive iterations. illustrate m...

Our purpose is to introduce new necessary conditions for a fixed point of maps on non-metric spaces. We use contraction map metric topological space and lately published definition limit function between the space. Then we show that can create h Y, :Y →Y present this Y. Therefore, gives an opportunity take best conclusion in some sense, when non-metrizable matter under consideration.

We gain tight rigorous bounds on the renormalization fixed point for period doubling in families of unimodal maps with degree 4 critical point. use a contraction mapping argument to bound essential eigenfunctions and eigenvalues linearization operator controlling scaling added noise. Multi-precision arithmetic directed rounding is used operations space analytic functions yielding power series c...

jachymski [ proc. amer. math. soc., 136 (2008), 1359-1373] gave modified version of a banach fixed point theorem on a metric space endowed with a graph. in the present paper, (g, φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. also, hardy-rogers g-contraction have been introduced and some fixed point theorems have been proved. s...

We prove a Berry–Esseen theorem, local central limit theorem and (local) large (global) moderate deviations principles for i.i.d. (uniformly) random non-uniformly expanding or hyperbolic maps with exponential first return times. Using existing results the problem is reduced to certain (Young) tower extensions, which main focus of this paper. On towers we will obtain our using contraction proper...