A Fixed Point Theorem and an Equilibrium Point of an Abstract Economy in H-spaces

2003 ◽  
Vol 19 (3) ◽  
pp. 425-430
Author(s):  
Ji-cheng Hou
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Equilibrium Point ◽  
Point Theorem ◽  
Abstract Economy

scholarly journals A selection and a fixed point theorem and an equilibrium point of an abstract economy

1995 ◽  
Vol 18 (1) ◽  
pp. 179-184 ◽  
Author(s):  
T. Husain ◽  
E. Tarafdar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Equilibrium Point ◽  
Point Theorem ◽  
Selection Theorem ◽  
Abstract Economy ◽  
The Fixed Point Theorem

A selection theorem and a fixed point theorem are proved. The fixed point theorem is then applied to prove the existence of an equilibrium point of an abstract economy.

scholarly journals A selection theorem and its applications

1992 ◽  
Vol 46 (2) ◽  
pp. 205-212 ◽  
Author(s):  
Xie Ping Ding ◽  
Won Kyu Kim ◽  
Kok-Keong Tan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Product Space ◽  
Existence Theorems ◽  
Intersection Theorem ◽  
Selection Theorem ◽  
Equilibrium Existence ◽  
Abstract Economy

In this paper, we first prove an improved version of the selection theorem of Yannelis-Prabhakar and next prove a fixed point theorem in a non-compact product space. As applications, an intersection theorem and two equilibrium existence theorems for a non-compact abstract economy are given.

scholarly journals A fixed point theorem and its applications to a system of variational inequalities

1999 ◽  
Vol 59 (3) ◽  
pp. 433-442 ◽  
Author(s):  
Qamrul Hasan Ansari ◽  
Jen-Chih Yao
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Variational Inequalities ◽  
Existence Theorem ◽  
Point Theorem ◽  
Product Spaces ◽  
Multivalued Maps ◽  
Equilibrium Existence ◽  
Abstract Economy ◽  
System Of Variational Inequalities

In this paper, we first prove a fixed point theorem for a family of multivalued maps defined on product spaces. We then apply our result to prove an equilibrium existence theorem for an abstract economy. We also consider a system of variational inequalities and prove the existence of its solutions by using our fixed point theorem.

Analysis of Solitary Waves in Arteries

2003 ◽  
Author(s):  
G. Nakhaie Jazar ◽  
M. Mahinfalah ◽  
M. Rastgaar Aagaah ◽  
F. Fahimi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Solitary Wave ◽  
Saddle Point ◽  
Equilibrium Point ◽  
Solitary Waves ◽  
Point Theorem ◽  
Wave Motion ◽  
Straightforward Method ◽  
Nonlinear Character

Solitary waves are coincided with separaterices, which surrounds an equilibrium point with characteristics like a center, a sink, or a source. The existence of closed or spiral orbits in phase plane predicts the existence of such an equilibrium point. If there exists another saddle point near that equilibrium point, separatrix orbit appears. In order to prove the existence of solution for any kind of boundary value problem, we need to apply a fixed-point theorem. We have used the Schauder’s fixed-point theorem to show that there exists at least one nontrivial solution for equation of wave motion in arteries, which has a spiral characteristic. The equation of wave motion in arteries has a nonlinear character. Thus, the amplitude of the wave depends on the wave velocity. There is no general analytical or straightforward method for prediction of the amplitude of the solitary wave. Therefore, it must be found by numerical or nonstraightforward methods. We introduce and analyse three methods: saddle point trajectory, escape moving time, and escape moving energy. We apply these methods and show that the results of them are in agreement, and the amplitude of a solitary wave is predictable.

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

2016 ◽  
Vol 2017 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Muhammad Usman Ali ◽  
◽  
Tayyab Kamran ◽  
Mihai Postolache ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Integral Inclusion
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