Let$mathbb{C}^n$ be the space of $n$ complex variables. Let$Omega_{n,p_2,ldots,p_n}$ be a complete Reinhardt on$mathbb{C}^n$. The Minkowski functional on complete Reinhardt$Omega_{n,p_2,ldots,p_n}$ is denoted by $rho(z)$. The concept ofspirallike mapping of type $beta$ and order $alpha$ is defined.So, the concept of the strong and almost spirallike mappings o...

"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."

Berinde [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum {bf 9} (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost $Theta$- contraction mappings andto prove some best proximity point results for t...

In the present paper, we show that $S^*$ iteration method can be used to approximate fixed point of almost contraction mappings. Furthermore, we prove that this iteration method is equivalent to CR iteration method  and it produces a slow convergence rate compared to the CR iteration method for the class of almost contraction mappings. We also present table and graphic to support this result. F...

In this note we present a remark on the paper “On coefficient inequalities for class of holomorphic mappings associated with spirallike in several complex variables” by Y. Lai and Q. Xu [10] published recently journal Results Mathematics. We show that one theorems concerning finite-dimensional space $${{\mathbb {C}}}^n$$ is direct consequence another one, so it does not need an independent proo...