Results 41 to 50 of about 445 (74)
Remarks on Caristi’s fixed point theorem in metric spaces with a graph
We discuss some extensions of Caristi’s fixed point theorem for mappings defined on a metric space endowed with a graph. This work should be seen as a generalization of the classical Caristi’s fixed point theorem where the assumptions in Caristi’s ...
M. Alfuraidan
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On the set of common fixed points of semigroups of nonlinear mappings in modular function spaces
We prove that the set of all common fixed points for a continuous nonexpansive semigroup of nonlinear mappings acting in modular function spaces can be represented as an intersection of fixed points sets of two nonexpansive mappings.
Saud M. Alsulami, W. Kozlowski
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Triangles, parameters, modulus of smoothness in normed spaces
Around 15 years ago several authors studied the parameter defined by A2(X) = sup { ||x+ y||+ ||x− y|| 2 : x,y ∈ SX } , where SX denotes the unit sphere of the real Banach space X . In this paper we consider the new family of parameters that generalize A2(
M. Baronti, P. Papini
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Common Fixed Point Theorem For Rational Expressions In 2-Banach Spaces
The study of non-contraction mapping concerning the existence of fixed points draws attention of various authors in non-linear analysis. Gahlar [6] introduced the concept of 2- Banach spaces. Badshah and Gupta [3] , Yadava, Rajput, Choudhary and Bhardwaj
A. K. Goyal, Gaurav Kumar Garg
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Non-squareness properties of Orlicz-Lorentz function spaces
In this paper, criteria for non-squareness and uniform non-squareness of Orlicz-Lorentz function spaces Λφ,ω are given. Since degenerated Orlicz functions φ and degenerated weight functions ω are also admitted, this investigation concerns the most ...
P. Foralewski, H. Hudzik, P. Kolwicz
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Real Banach Spaces with Numerical Index 1
Ginés López, Miguel Martín, R. Payá
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A dual mapping associated to a closed convex set and some subdifferential properties
Studia Universitatis Babeş-Bolyai. MathematicaIn this paper, we establish some properties of the multivalued mapping (x, d) ⇒ DC (x; d) that associates to every element x of a linear normed space X the set of linear continuous functionals of norm d ≥ 0 and which separates the closed ball B (x; d ...
G. Apreutesei, Teodor Precupanu
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