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2021

2021

The condition number of a differentiable convex function, namely the ratio of its smoothness to strong convexity constants, is…

Highly Cited

2013

Highly Cited

2013

We show that unless P = NP, there exists no polynomial time (or even pseudo-polynomial time) algorithm that can decide whether a…

Highly Cited

2010

Highly Cited

2010

We prove the Fundamental Gap Conjecture, which states that the difference between the first two Dirichlet eigenvalues (the spec…

2010

2010

We introduce a new hybrid iterative scheme for finding a common element in the solutions set of a system of equilibrium problems…

2006

2006

We consider convex sets whose modulus of convexity is uniformly quadratic. First, we observe several interesting relations…

Highly Cited

2003

Highly Cited

2003

Hyperbolic convex sets and quasisymmetric functions Every bounded convex open set Ω of Rm is endowed with its Hilbert metric d…

2002

2002

Let f be a positive function such that x [ f(x + 1)/f(x) − 1 ] is increasing on [1,∞), then the sequence { n √∏n i=1 f(i) / f(n…

Highly Cited

2001

Highly Cited

2001

Some relations between the James (or non-square) constant $J(X)$ and the Jordan-von Neumann constant $C_NJ(X),$ and the normal…

1974

1974

This note shows that convexity cuts defined relative to polyhedral convex sets can utilize negative as well as positive edge…

Highly Cited

1974

Highly Cited

1974

There is a uniformly convex Banach space with unconditional basis which contains no subspace isomorphic to any lp (1 p ~). The…