Let $(M^{2n},g)$ be a real hypersurface with recurrent shapeoperator and tangent to the structure vector field $xi$ of the Sasakian space form$widetilde{M}(c)$. We show that if the shape operator $A$ of $M$ isrecurrent then it is parallel. Moreover, we show that $M$is locally a product of two constant $phi-$sectional curvaturespaces.

Let p ( · ) $p(\cdot )$ be a measurable function defined on R d ${\mathbb {R}}^d$ and − : = inf x ∈ $p_-:=\inf _{x\in {\mathbb {R}}^d}p(x)$ . In this paper, we generalize the Hardy–Littlewood maximal operator. definition, instead of cubes or balls, take supremum over all rectangles side lengths which are in cone-like set by given ψ. Moreover, integral means, consider L q $L_{q(\cdot )}$ -means....

This paper concerns the chemotaxis-Navier-Stokes system \begin{document}$\begin{equation} \begin{cases} n_t+u\cdot {\nabla } n = \Delta - {{\nabla }\cdot}(n\chi(c) c),\\ c_t+u\cdot c -nf(c),\\ u_t+\kappa (u\cdot }) u + P +n }\Phi, \quad }\cdot} 0 \end{cases} \end{equation} \;\;\;\;\;\;\;\;\;\;\;\;(\star)$ \end{document} in a smoothly convex bounded domain under Neumann/Neumann/Dirichlet boundar...

Let $X$ be a reflexive Banach space, $T:Xto X$ be a nonexpansive mapping with $C=Fix(T)neqemptyset$ and $F:Xto X$ be $delta$-strongly accretive and $lambda$- strictly pseudocotractive with $delta+lambda>1$. In this paper, we present modified hybrid steepest-descent methods, involving sequential errors and functional errors with functions admitting a center, which generate convergent sequences ...

The $SU(2)$ unitary matrix $U$ employed in chiral descriptions of hadronic low-energy processes has both exponential and analytic representations, related by $U=\mathrm{exp}[i\mathbit{\ensuremath{\tau}}\ifmmode\cdot\else\textperiodcentered\fi{}\stackrel{^}{\mathbit{\ensuremath{\pi}}}\ensuremath{\theta}]=\mathrm{cos}\ensuremath{\theta}I+i\mathbit{\ensuremath{\tau}}\ifmmode\cdot\else\textperiodce...

This paper determined the components of generalized curvature tensor for class Kenmotsu type and established mentioned is {\eta}-Einstein manifold when flat; converse holds true under suitable conditions. It also introduced notion {\Phi}-holomorphic sectional (G{\Phi}SH-) thus found necessary sufficient conditions to be constant G{\Phi}SH-curvature. In addition, {\Phi}-generalized semi-symmetri...

let $x$ be a reflexive banach space, $t:xto x$ be a nonexpansive mapping with $c=fix(t)neqemptyset$ and $f:xto x$ be $delta$-strongly accretive and $lambda$- strictly pseudocotractive with $delta+lambda>1$. in this paper, we present modified hybrid steepest-descent methods, involving sequential errors and functional errors with functions admitting a center, which generate convergent sequences t...

"We study the FeketeSzego problem on open unit ball of a complex Banach space. Namely, inequalities are proved for class spirallike mappings relative to an arbitrary strongly accretive operator, and some its subclasses. Next, we consider families non-linear resolvents holomorphically vanishing at origin. We solve Fekete- Szego over these families."

Abstract The generalised Hopf equation is the first order nonlinear defined on a planar domain $$\Omega \subset {\mathbb {C}}$$ Ω ⊂ C , with data $$\Phi $$ Φ holomorphic function and $$\eta \ge 1$$ η ≥ ...