scholarly journals Corrigendum to “The James constant, the Jordan–von Neumann constant, weak orthogonality, and fixed points for multivalued mappings” [J. Math. Anal. Appl. 333 (2007) 950–958]

2008 ◽  
Vol 338 (2) ◽  
pp. 1494
Author(s):  
Attapol Kaewkhao
Keyword(s):  
Fixed Points ◽  
Multivalued Mappings ◽  
James Constant ◽  
Von Neumann

scholarly journals Hölder’s means and fixed points for multivalued nonexpansive mappings

Filomat ◽  
2018 ◽  
Vol 32 (19) ◽  
pp. 6531-6547
Author(s):  
Mina Dinarvand
Keyword(s):  
Fixed Points ◽  
Banach Spaces ◽  
Recent Literature ◽  
Nonexpansive Mappings ◽  
Convergent Sequence ◽  
Normal Structure ◽  
James Constant ◽  
Von Neumann ◽  
Geometric Conditions ◽  
Weakly Convergent Sequence Coefficient

In this paper, we show some geometric conditions on Banach spaces by considering H?lder?s means and many well known parameters namely the James constant, the von Neumann-Jordan constant, the weakly convergent sequence coefficient, the normal structure coefficient, the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings and normal structure of Banach spaces. Some of our main results improve and generalize several known results in the recent literature on this topic. We also show that some of our results are sharp.

scholarly journals Some Properties Concerning the JL(X) and YJ(X) Which Related to Some Special Inscribed Triangles of Unit Ball

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1285
Author(s):  
Asif Ahmad ◽  
Yuankang Fu ◽  
Yongjin Li
Keyword(s):  
Unit Ball ◽  
Banach Spaces ◽  
Uniformly Convex ◽  
Geometric Properties ◽  
James Constant ◽  
Von Neumann ◽  
Geometric Constants

In this paper, we will make some further discussions on the JL(X) and YJ(X) which are symmetric and related to the side lengths of some special inscribed triangles of the unit ball, and also introduce two new geometric constants L1(X,▵), L2(X,▵) which related to the perimeters of some special inscribed triangles of the unit ball. Firstly, we discuss the relations among JL(X), YJ(X) and some geometric properties of Banach spaces, including uniformly non-square and uniformly convex. It is worth noting that we point out that uniform non-square spaces can be characterized by the side lengths of some special inscribed triangles of unit ball. Secondly, we establish some inequalities for JL(X), YJ(X) and some significant geometric constants, including the James constant J(X) and the von Neumann-Jordan constant CNJ(X). Finally, we introduce the two new geometric constants L1(X,▵), L2(X,▵), and calculate the bounds of L1(X,▵) and L2(X,▵) as well as the values of L1(X,▵) and L2(X,▵) for two Banach spaces.

scholarly journals Fixed Points for Multivalued Mappings and the Metric Completeness

2009 ◽  
Vol 2009 (1) ◽  
pp. 972395 ◽  
Author(s):  
S Dhompongsa ◽  
H Yingtaweesittikul
Keyword(s):  
Fixed Points ◽  
Multivalued Mappings

The Contraction Principle for Multivalued Mappings on a Modular Metric Space with a Graph

2016 ◽  
Vol 59 (01) ◽  
pp. 3-12 ◽  
Author(s):  
Monther Rashed Alfuraidan
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Orlicz Spaces ◽  
Multivalued Mappings ◽  
Linear Spaces ◽  
Modular Metric Spaces ◽  
Modular Spaces

Abstract We study the existence of fixed points for contraction multivalued mappings in modular metric spaces endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. This paper can be seen as a generalization of Nadler and Edelstein’s fixed point theorems to modular metric spaces endowed with a graph.

scholarly journals The Jordan–von Neumann constants and fixed points for multivalued nonexpansive mappings

2006 ◽  
Vol 320 (2) ◽  
pp. 916-927 ◽  
Author(s):  
S. Dhompongsa ◽  
T. Domínguez Benavides ◽  
A. Kaewcharoen ◽  
A. Kaewkhao ◽  
B. Panyanak
Keyword(s):  
Fixed Points ◽  
Nonexpansive Mappings ◽  
Von Neumann

scholarly journals A quantum algorithm for uniform sampling of models of propositional logic based on quantum probability

2016 ◽  
Vol 16 (1) ◽  
pp. 57-65
Author(s):  
Radhakrishnan Balu ◽  
Dale Shires ◽  
Raju Namburu
Keyword(s):  
Fixed Points ◽  
Propositional Logic ◽  
Quantum Algorithms ◽  
Quantum Algorithm ◽  
Quantum Probability ◽  
Stochastic Flows ◽  
Von Neumann ◽  
Uniform Sampling ◽  
Successful Technique ◽  
D Wave

We describe a class of quantum algorithms to generate models of propositional logic with equal probability. We consider quantum stochastic flows that are the quantum analogues of classical Markov chains and establish a relation between fixed points on the two flows. We construct chains inspired by von Neumann algorithms using uniform measures as fixed points to construct the corresponding irreversible quantum stochastic flows. We formulate sampling models of propositions in the framework of adiabatic quantum computing and solve the underlying satisfiability instances. Satisfiability formulation is an important and successful technique in modeling the decision theoretic problems in a classical context. We discuss some features of the proposed algorithms tested on an existing quantum annealer D-Wave II extending the simulation of decision theoretic problems to a quantum context.

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