Results 31 to 40 of about 128 (122)
A renorming of ℓ2, rare but with the fixed‐point property
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 65, Page 4115-4129, 2003., 2003 We give an example of a renorming of ℓ2 with the fixed‐point property (FPP) for nonexpansive mappings, but which seems to fall out of the scope of all the commonly known sufficient conditions for FPP.
Antonio Jiménez-Melado +1 more
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Double-Inertial Halpern Approximation for Nonexpansive and Strongly Quasi-Nonexpansive Mappings
Abstract and Applied AnalysisMSC2020 Classification: Primary 47H10, 47H09, 47J25, 47J26 ...
Rahul Shukla
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Generalized Enriched Contractions of Boyd–Wong and Geraghty Type in Banach Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper examines generalized enriched contractions of the Boyd–Wong and Geraghty types within Banach spaces, expanding the classical concept of enriched operators. We establish the existence and uniqueness of fixed points for these contractions and analyze the convergence of Mann‐type iterative schemes specifically designed for these mappings.
Rekha Panicker +2 more
wiley +1 more source
On the modulus of u‐convexity of Ji Gao
Abstract and Applied Analysis, Volume 2003, Issue 1, Page 49-54, 2003., 2003 We consider the modulus of u‐convexity of a Banach space introduced by Ji Gao (1996) and we improve a sufficient condition for the fixed‐point property (FPP) given by this author. We also give a sufficient condition for normal structure in terms of the modulus of u‐convexity.
Eva María Mazcuñán-Navarro
wiley +1 more source
Some geometric properties of the metric space V[λ,p]
, 2013 In this study, we consider the space [InlineEquation not available: see fulltext.] with an invariant metric. Then, we examine some geometric properties of the linear metric space [InlineEquation not available: see fulltext.] such as property ...
Mikail Et +5 more
core +2 more sources
Best Proximity Points of Relatively Jaggi Nonexpansive Mappings in Busemann Convex Spaces
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce cyclic (noncyclic) relatively Jaggi nonexpansive mappings on Busemann convex spaces and investigate the existence of their best proximity points (pairs). Furthermore, we extend the notation of relatively u‐continuous mappings in geodesic spaces and generalize an existence result of best proximity points from strictly convex ...
M. Gabeleh +3 more
wiley +1 more source
Convergence theorems for generalized projections and maximal monotone operators in Banach spaces
Abstract and Applied Analysis, Volume 2003, Issue 10, Page 621-629, 2003., 2003 We study a sequence of generalized projections in a reflexive, smooth, and strictly convex Banach space. Our result shows that Mosco convergence of their ranges implies their pointwise convergence to the generalized projection onto the limit set. Moreover, using this result, we obtain strong and weak convergence of resolvents for a sequence of maximal ...
Takanori Ibaraki +2 more
wiley +1 more source
Annales Mathematicae SilesianaeThe sequence spaces ruℓ∞(𝒪, ∇q), ruℓp(𝒪, ∇q), ruc(𝒪, ∇q), ruc0(𝒪, ∇q), rumϕ(𝒪, ∇q, p), runϕ(𝒪, ∇q, p), rumϕ(𝒪, ∇q), runϕ(𝒪, ∇q) are defined by the Orlicz function in this article.
Debbarma Diksha, Tripathy Binod Chandra
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A New Hereditarily l^2 Banach Space [PDF]
, 2009 2000 Mathematics Subject Classification: 46B20, 46B26.We construct a non-reflexive, l^2 saturated Banach space such that every non-reflexive subspace has non-separable ...
Petsoulas, Giorgos
core
Nonsurjective Coarse Isometries of Uniformly Convex Banach Spaces
Journal of Function Spaces, Volume 2024, Issue 1, 2024.We apply Pisier’s inequality to establish the stability property of nonsurjective coarse isometries from a Banach space to a uniformly convex space. Making use of this result, we extend some known conclusions on (ε, p) isometries of Hilbert spaces and Lq spaces.
Yuqi Sun, Nikhil Khanna
wiley +1 more source