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Displaying 381 – 400 of 11160

A new characterization of Anderson’s inequality in $C_{1}$ -classes

S. Mecheri (2007)

Czechoslovak Mathematical Journal

Let $ℋ$ be a separable infinite dimensional complex Hilbert space, and let $ℒ (ℋ)$ denote the algebra of all bounded linear operators on $ℋ$ into itself. Let $A = (A_{1}, A_{2}, \dots, A_{n})$ , $B = (B_{1}, B_{2}, \dots, B_{n})$ be $n$ -tuples of operators in $ℒ (ℋ)$ ; we define the elementary operators $Δ_{A, B} ℒ (ℋ) \mapsto ℒ (ℋ)$ by $Δ_{A, B} (X) = \sum_{i = 1}^{n} A_{i} X B_{i} - X .$ In this paper, we characterize the class of pairs of operators $A, B \in ℒ (ℋ)$ satisfying Putnam-Fuglede’s property, i.e, the class of pairs of operators $A, B \in ℒ (ℋ)$ such that $\sum_{i = 1}^{n} B_{i} T A_{i} = T$ implies $\sum_{i = 1}^{n} A_{i}^{*} T B_{i}^{*} = T$ for all $T \in 𝒞_{1} (ℋ)$ (trace class operators). The main result is the equivalence between this property and the fact that...

A new characterization of $B$ -bounded semigroups with application to implicit evolution equations.

Arlotti, Luisa (2001)

Abstract and Applied Analysis

A new characterization of generators of differentiable semigroups.

Ioan I. Vrabie (2001)

RACSAM

A new class of composition operators.

Pattanayak, S., Mohapatra, C.K., Mishra, A.K. (1987)

International Journal of Mathematics and Mathematical Sciences

A new class of nonexpansive type mappings and fixed points

Ljubomir B. Ćirić (1999)

Czechoslovak Mathematical Journal

In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.

A new hybrid algorithm for a system of mixed equilibrium problems, fixed point problems for nonexpansive semigroup, and variational inclusion problem.

Jitpeera, Thanyarat, Kumam, Poom (2011)

Fixed Point Theory and Applications [electronic only]

A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings.

Cholamjiak, Prasit, Suantai, Suthep (2009)

Fixed Point Theory and Applications [electronic only]

A new hybrid iterative algorithm for fixed-point problems, variational inequality problems, and mixed equilibrium problems.

Yao, Yonghong, Liou, Yeong-Cheng, Yao, Jen-Chih (2008)

Fixed Point Theory and Applications [electronic only]

A new iteration method for nonexpansive mappings and monotone mappings in Hilbert spaces.

Jung, Jong Soo (2010)

Journal of Inequalities and Applications [electronic only]

A new iteration process for approximation of common fixed points for finite families of total asymptotically nonexpansive mappings.

Chidume, C.E., Ofoedu, E.U. (2009)

International Journal of Mathematics and Mathematical Sciences

A new iterative algorithm for approximating common fixed points for asymptotically nonexpansive mappings.

Zhou, H.Y., Cho, Y.J., Kang, S.M. (2007)

Fixed Point Theory and Applications [electronic only]

A new iterative algorithm for the set of fixed-point problems of nonexpansive mappings and the set of equilibrium problem and variational inequality problem.

Kangtunyakarn, Atid (2011)

Abstract and Applied Analysis

A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities.

Peng, Jian-Wen, Wu, Soon-Yi, Yao, Jen-Chih (2010)

Abstract and Applied Analysis

A new iterative method for solving equilibrium problems and fixed point problems for infinite family of nonexpansive mappings.

Wang, Shenghua, Cho, Yeol Je, Qin, Xiaolong (2010)

Fixed Point Theory and Applications [electronic only]

Currently displaying 381 – 400 of 11160

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Displaying 381 – 400 of 11160

A new characterization of Anderson’s inequality in $C_{1}$ -classes

A new characterization of $B$ -bounded semigroups with application to implicit evolution equations.

A new characterization of generators of differentiable semigroups.

A new class of composition operators.

A new class of nonexpansive type mappings and fixed points

A new class of Ornstein transformations with singular spectrum

A new composite implicit iterative process for a finite family of nonexpansive mappings in Banach spaces.

A new convergence theorem for Steffensen's method on Banach spaces and applications.

A new general integral operator defined by Al-Oboudi differential operator.

A new general iterative method for a finite family of nonexpansive mappings in Hilbert spaces.

A new Hilbert-type linear operator with a composite kernel and its applications.

A new hybrid algorithm for a system of mixed equilibrium problems, fixed point problems for nonexpansive semigroup, and variational inclusion problem.

A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings.

A new hybrid iterative algorithm for fixed-point problems, variational inequality problems, and mixed equilibrium problems.

A new iteration method for nonexpansive mappings and monotone mappings in Hilbert spaces.

A new iteration process for approximation of common fixed points for finite families of total asymptotically nonexpansive mappings.

A new iterative algorithm for approximating common fixed points for asymptotically nonexpansive mappings.

A new iterative algorithm for the set of fixed-point problems of nonexpansive mappings and the set of equilibrium problem and variational inequality problem.

A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities.

A new iterative method for solving equilibrium problems and fixed point problems for infinite family of nonexpansive mappings.

Currently displaying 381 – 400 of 11160