نتایج جستجو برای: uniformly convex banach space

تعداد نتایج: 578258  

Journal: :Journal of Mathematical Analysis and Applications 1991

Journal: :J. Applied Mathematics 2012
Kriengsak Wattanawitoon Poom Kumam

The propose of this paper is to present a modified block iterative algorithm for finding a common element between the set of solutions of the fixed points of two countable families of asymptotically relatively nonexpansive mappings and the set of solution of the system of generalized mixed equilibrium problems in a uniformly smooth and uniformly convex Banach space. Our results extend many know...

Journal: :نظریه تقریب و کاربرد های آن 0
m. salehi department of mathematics, islamic azad university, savadkooh branch, savadkooh, iran. v. dadashi department of mathematics, islamic azad university, sari branch, sari, iran. m. roohi department of mathematics, faculty of basic sciences, university of mazandaran, babolsar, iran.

some algorithms for nding common xed point of a family of mappings isconstructed. indeed, let c be a nonempty closed convex subset of a uniformlyconvex banach space x whose norm is gateaux di erentiable and let {tn} bea family of self-mappings on c such that the set of all common fixed pointsof {tn} is nonempty. we construct a sequence {xn} generated by the hybridmethod and also we give the ...

Journal: :J. Applied Mathematics 2012
Vittorio Colao

Throughout this paper, we assume that X is a uniformly convex Banach space and X∗ is the dual space of X. Let J denote the normalized duality mapping form X into 2 ∗ given by J x {f ∈ X∗ : 〈x, f〉 ‖x‖2 ‖f‖2} for all x ∈ X, where 〈·, ·〉 denotes the generalized duality pairing. It is well known that if X is uniformly smooth, then J is single valued and is norm to norm uniformly continuous on any b...

2009
MASATO MIMURA

Let A be a unital, commutative and finitely generated ring. We prove that if n ≥ 4, then the group G = ELn(A) has a fixed point property for affine isometric actions on B. Here B stands for any L space or any Banach space isomorphic to a Hilbert space. We also verify that the comparison map Ψ : H b (G,B) → H(G,B) from bounded to ordinary cohomology is injective, where G and B are as in above. F...

2009
MASATO MIMURA

In this paper, we prove that for a unital commutative and finitely generated ring A, the group G = ELn(A) has a fixed point property for affine isometric actions on B if n ≥ 4. Here B stands for any L space or any Banach space isomorphic to a Hilbert space. We also verify that the comparison map Ψ : H b (G,B) → H (G,B) from bounded to usual cohomology is injective, where G and B are same as in ...

2006
Shengju Yang Yisheng Song

Let E be a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E∗, and K be a nonempty closed convex subset of E. Suppose that T, S : K → K are two nonexpansive mappings such that F := F (ST ) = F (T ) ∩ F (S) = ∅. For arbitrary initial value x0 ∈ K and fixed anchor u ∈ K, define iteratively a sequence {xn} as follows: { yn = βnxn + (1− βn)Txn xn+...

2009
MASATO MIMURA

Let A be a unital, commutative and finitely generated ring. We prove that if n ≥ 4, then the group G = ELn(A) has a fixed point property for affine isometric actions on B. Here B stands for any L space or any Banach space isomorphic to a Hilbert space. We also verify that the comparison map Ψ : H b (G,B) → H(G,B) from bounded to ordinary cohomology is injective, where G and B are as in above. F...

2012
Jingling Zhang Yongfu Su Qingqing Cheng

*Correspondence: [email protected]; [email protected] Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, China Abstract Let E be a uniformly convex and uniformly smooth Banach space, let C be a nonempty closed convex subset of E, let {Tn} : C→ C be a countable family of weak relatively nonexpansive mappings such that F = ⋂∞ n=1 F(Tn) = ∅. For any given gauss x0 ∈ C,...

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