Still, she said, should Mr. Sessions push for a uniformly strict posture in prosecuting drug crimes, it would mark a significant shift in tone.
They proved that every weakly uniformly strict contraction on a complete metric space ((X,d)) has a unique fixed point.
This paper concerns common fixed points for a finite family of hemicontractions or a finite family of strict pseudocontractions on uniformly convex Banach spaces.
In 1969, Meir and Keeler defined weak uniformly strict contraction as follows: given (epsilon>0), there exists (delta>0) such that epsilonle d x,y)< epsilon+deltaquad impliesquad d(Fx, Fy)< epsilon for a self-map F on X.
Meanwhile, Meir and Keeler [3] found that the conclusion of Banach's Theorem holds more generally from the following condition of a weakly uniformly strict contraction: Given (epsilon>0), there exists (delta>0) such that epsilonleq d x,y)< epsilon+deltaquad mbox{implies} quad d(Fx, Fy)< epsilon.
We investigate the convergence of Mann-type iterative scheme for a countable family of strict pseudocontractions in a uniformly convex Banach space with the Fréchet differentiable norm.
Assume that ({underline{u}}) and ({bar{u}}), (in C^{2}(Omega )cap C^1 {bar{Omega }})) are respectively an admissible subsolution of (1.1)–(1.2) and supersolution of (1.1)–(1.2) with at least one of them strict and (Omega ) is uniformly (A, G -convex with respect to the interval ({mathcal {I}} = [{underline{u}}, {bar{u}}]).
Assume that ({underline{u}}) and ({bar{u}}), (in C^{2}(Omega )cap C^1 {bar{Omega }})) are respectively an admissible subsolution of (1.1)–(1.2) and supersolution of (1.1)–(1.2), with at least one of them strict, and (Omega ) is uniformly (({mathcal {P}}_k,A,G -convex with respect to the interval ({mathcal {I}_k,A,G -convex{u}}, {bar{u}}]).
Simulations were run with a strict molecular clock using uniformly distributed priors.
Let { V i : C → C } i = 1 ∞ be a countable family of uniformly k-strict pseudo-contractions.
