J. Rooin

activity

20062020

most citedA Characterization of Metric Projection in CAT(0) Spaces

30 citations · 71 across the 9 of their papers we have counts for

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5 papers · 1 filter

math.FA2018

Sharp inequalities for the numerical radius of block operator matrices

M. Ghaderi Aghideh, M. S. Moslehian, J. Rooin

In this paper, we present several sharp upper bounds for the numerical radii of the diagonal and off-diagonal parts of the $2 \times 2$ block operator matrix $\begin{bmatrix}A&B\\ C&…

math.FA2018★ 1 cited

Operator revision of a Ky Fan type inequality

Jamal Rooin, Akram Alikhani

Let $H$ be a complex Hilbert space and $A, B \in B (H)$ such that $0 < A, B \leq \frac{1}{2} I$ . Setting $A^{'} := I - A$ and $B^{'} := I - B$ , we prove $$ A'\nabla_λB'-A'!_λ…

math.FA2017★ 3 cited

Geometric aspects of $p$ -angular and skew $p$ -angular distances

J. Rooin, S. Habibzadeh, M. S. Moslehian

Corresponding to the concept of $p$ -angular distance $α_{p} [x, y] := ∥ x ∥^{p - 1} x - ∥ y ∥^{p - 1} y$ , we first introduce the notion of skew $p$ -angul…

math.FA2014★ 24 cited

Metric projection and convergence theorems for nonexpansive mappings in Hadamard spaces

Hossein Dehghan, Jamal Rooin

For a nonempty convex subset $C$ of a Hadamard space $X$ , it is proved that $u = P_{C} x$ if and only if $⟨ xu, u y ⟩ ⩾ 0$ for all $y\in…

math.FA2013★ 30 cited

A Characterization of Metric Projection in CAT(0) Spaces