# Saeed Hashemi Sababe

Saeed Hashemi Sababe

Professor

Looking for a new research position on operator theory or fixed point.

## About

30

Publications

1,166

Reads

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28

Citations

Citations since 2016

Introduction

Fixed Point Theory, Reproducing Kernels on Mathematical Finance

Additional affiliations

August 2015 - present

August 2015 - August 2016

August 2014 - February 2015

Education

January 2013 - February 2018

September 2010 - September 2012

September 2005 - August 2009

## Publications

Publications (30)

In this paper, we introduce two sub classes of analytic and Spirallike functions and investigate convolution properties, the necessary and sufficient condition, coefficient estimates and inclusion properties for these classes.

In this paper, we study reproducing kernels whose ranges are subsets of a C∗algebra or a Hilbert C∗-module. In particular, we show how such a reproducing kernel can naturally be expressed in terms of operators on a Hilbert C∗-module. We focus on relative reproducing kernels and extend this concept to such spaces associated with cocycles.

This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems. Moreover, we focus on reproducing kernels in vector-valued reproducing kernel Hilbert spaces. In particular, we extend reprodu...

In this research, we introduce the stochastic integration with respect to a cylindrical special semi-martingale, which is a specific case of general integration, with specific properties of special semi-martingales.

This paper deals with the existence and numerical estimates of solutions for a class of fractional differential equations, while the nonlinear part of the problem admits some Special hypotheses. In particular, for a precise localization of the parameter, the existence of a non-zero solution is established requiring the sub-linearity of nonlinear pa...

This paper is devoted to introducing a new viscosity approximation method using the
implicit midpoint rules for finding a common element in the set of solutions of a generalized mixed equilibrium problem, the set of solutions of a general system of variational inequalities and the set of common fixed points of a finite family of nonexpansive mappin...

A new iterative scheme is proposed for finding a common element of the solution set of a
general system of variational inequalities, the solution set of an equilibrium problem and the common fixed point set of a countable family of nonexpansive mappings in a real Hilbert space. Under some suitable conditions imposed on the parameters, a strong conv...

We are concerned with finding a common solution to an equilibrium problem associated with a bifunction, and a constrained convex minimization problem. We
propose an iterative fixed point algorithm and prove that the algorithm generates a sequence strongly convergent to a common solution. The common solution is identified as
the unique solution of a...

In this article, we represent and examine a new subclass of holomorphic and bi-univalent functions defined in the open unit disk U, which is associated with the Dziok-Srivastava operator. Additionally, we get upper bound estimates on the Taylor-Maclaurin coefficients |a_2 | and |a_3 | of functions in the new class and improve some recent studies.

In this paper, we consider the integral of a stochastic process with respect of a sequence of square integrable semimartingales. By this integrals, we construct a reproducing kernel Hilbert space and study the correspondence between this space with the concepts of arbitrage and viability in mathematical finance.

In this paper, we study the existence and the numerical estimates of the solutions for a set of fractional differential equations. The nonlinear part of the problem, however, presupposes certain hypotheses. Particularly, for the exact localization of the parameter, the existence of a non-zero solution is established, which requires the sublinearity...

In this paper, we investigate harmonic univalent functions convex in the direction θ, for θ ∈ [0, π). We find bounds for |fz(z)|, |fz(z)| and |f (z)|, as well as coefficient bounds on the series expansion of functions convex in a given direction.

A new extragradient algorithm is proposed for solving an equilibrium problem and a split feasibility and fixed point problem. A strong convergence theorem, which improves and extends some recent results is proved. Moreover, a numerical result is given to show the effectiveness of the algorithm.

This paper is devoted to study the reproducing property on 2-inner product Hilbert spaces. We focus on a new structure to produce reproducing kernel Hilbert and Banach spaces. According to multi variable computing, this structures play the key role in probability, mathematical finance and machine learning.

The class of isotropic almost complex structures, J δ,σ , define a class of Riemannian metrics, g δ,σ , on the tangent bundle of a Riemann-ian manifold which are a generalization of the Sasaki metric. This paper characterizes the metrics g δ,0 using the geometry of tangent bundle. As a by-product, some integrability results will be reported for J δ...

In this paper, we introduce two subclasses of analytic and Spiral-like functions and investigate convolution properties, the necessary and sufficient condition, coefficient estimates and inclusion properties for these classes.

We introduced and studied a new class of harmonic univalent functions on unit disc U. Also we provided coefficient conditions, extreme points and convolution conditions for that class of harmonic univalent functions.

This paper is devoted to the study of reproducing kernels on 2-inner product Hilbert spaces. We focus on a new structure to produce reproducing kernel Hilbert and Banach spaces. According to multi-variable computing, this structures can be useful in electrocardiographs, machine learning and economy

In the present paper, we introduced and study a new class of harmonic univalent functions on unit disc U. also we obtain coefficient conditions, extreme points, convolution condition for the above class of harmonic univalent functions.

In this paper, we study the weighted reproducing kernels. We introduce a generalization of weighted reproducing property and extend it to relative reproducing property on Banach spaces. This generalization will develop the parallel computing and it can be used as a base of parallel learning for machines especially in the case that there are non-hom...

We study relative reproducing kernels, and associated relative reproducing kernel Hilbert spaces (RRKHSs) H over infinite, discrete and countable sets V . For RRKHSs H of functions defined on a prescribed countable infinite discrete set V , we characterize those which contain the Dirac masses δx for all points x in V . In especial case, we focus on...

In this paper, we introduce the notion of relative reproducing kernel Hilbert spaces for graphs and the Gram matrices associated with them. Our aim is to investigate the Gram matrices of reproducing kernel Hilbert spaces. We study kernel functions, and associated relative reproducing kernel Hilbert spaces H over infinite, discrete and countable set...

In this paper we discuss reproducing kernels whose ranges are contained in a C ∗-algebra or a Hilbert C ∗-module. Using the construction of a reproducing Hilbert C ∗-module associated with a reproducing kernel, we show how such a reproducing kernel
can naturally be expressed in terms of operators on a Hilbert C ∗- module using representations on Hi...

In this paper, a new iterative method for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a countable family of nonexpansive mappings in Hilbert spaces, is introduced. For this method, a strong convergence theorem is given. This improves and extends some recent results.

This paper is devoted to the study of reproducing kernels on 2-inner product Hilbert spaces. We focus on a new structure to produce reproducing kernel Hilbert and Banach spaces.
According to multi variable computing, this structures can be useful in ecocardiography, machine learning and economy

The theory of positive kernels and associated reproducing kernel Hilbert spaces, especially in the setting of holomorphic functions, has been an important tool for the last several
decades. This paper is devoted to the study positive kernels, associated non commutative reproducing kernel Hilbert spaces.

The classical probability theory initiated by Kolmogorov and its quantum counterpart, pioneered by von Neumann, were created at about the same time in the 1930s, but development of the quantum theory has trailed far behind. Although highly appealing, the quantum theory has a steep learning curve, requiring tools from both probability and analysis a...

This paper is devoted to the study of vector valued reproducing kernel
Hilbert spaces. We focus on reproducing kernels in vector-valued reproducing
kernel Hilbert spaces. In particular we extend reproducing kernels to relative
reproducing kernels and prove some theorems in this subject.

This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular we tried to extend this concept and prove some theorems.