We construct adaptive Mann iterations for finding fixed points of strongly pseudocontractive mappings and solving nonlinear strongly accretive (not necessary continuous) operator equation Sx = f in p-smooth Banach spaces.

Thirty-eight male-to-female (M-to-F) transsexuals, 7 female-to-male (F-to-M) transsexuals, 135 nontranssexual men, and 225 nontranssexual women were assessed on the following: gender diagnosticity (GD) measures, which assessed male- vs. female-typical occupational and hobby preferences; instrumentality; expressiveness; self-ascribed masculinity; and self-ascribed femininity. M-to-F transsexuals...

In recent years, the study of Hankel determinants for various subclasses normalised univalent functions f∈S given by f(z)=z+∑n=2∞anzn D={z∈C:|z|<1} has produced many interesting results. The main focus interest been estimating second determinant form H2,2(f)=a2a4−a32. A non-sharp bound H2,2(f) when f∈K(α), α∈[0,1) consisting convex order α was found Krishna and Ramreddy (Hankel starlike alpha. ...

Let K be a closed convex subset of a Banach space X and let F be a nonempty closed convex subset of K. We consider complete metric spaces of self-mappings of K which fix all the points of F and are relatively nonexpansive with respect to a given convex function f on X. We prove (under certain assumptions on f) that the iterates of a generic mapping in these spaces converge strongly to a retract...

In this paper, using the fractional difference operator and a modulus function we introduce concepts of $({}^{}_{2}{\Delta_{\beta}^{\tilde{\alpha}}},f)-$ statistical convergence, $({}^{}_{2}{\Delta^{\tilde{\alpha}}},f)-$ Cauchy p-strongly Cesàro summability, $(0&lt;p&lt;\infty)$ for double sequences. We also give some inclusion relations between convergence summability $(0&lt;p&lt;\infty)$.

A condition is identified that implies solutions to the stochastic reaction-diffusion equation ?u ?t=Au+f(u)+?(u)W? on a bounded spatial domain never explode. We consider case where ? grows polynomially and f dissipative, meaning strongly forces toward finite values. This result demonstrates role deterministic forcing term plays in preventing explosion.

then we say that p is the Catathéodory function. LetA denote the class of all functions f analytic in the open unit disk U {z : |z| < 1} with the usual normalization f 0 f ′ 0 − 1 0. If f and g are analytic in U, we say that f is subordinate to g, written f ≺ g or f z ≺ g z , if g is univalent, f 0 g 0 and f U ⊂ g U . For 0 < α ≤ 1, let STC α and STS α denote the classes of functions f ∈ A whic...