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 Existence of Positive Periodic Solutions for a Class ofn-Species Competition Systems with Impulses

2011 ◽  
Vol 2011 ◽  
pp. 1-9
Author(s):  
Peilian Guo ◽  
Yansheng Liu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Sufficient Conditions ◽  
Species Competition ◽  
Positive Periodic Solutions ◽  
The Fixed Point Theorem

By using the fixed point theorem on cone, some sufficient conditions are obtained on the existence of positive periodic solutions for a class ofn-species competition systems with impulses. Meanwhile, we point out that the conclusion of (Yan, 2009) is incorrect.

Self‐defeating predictions and the fixed‐point theorem: A refutation

Inquiry ◽  
1982 ◽  
Vol 25 (3) ◽  
pp. 331-352 ◽  
Author(s):  
Audun Øfsti ◽  
Dag Østerberg
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
The Fixed Point Theorem

scholarly journals The Impulsive Neutral Integro-Differential Equations with Infinite Delay and Non-Instantaneous Impulses

2018 ◽  
Vol 7 (4.10) ◽  
pp. 694
Author(s):  
V. Usha ◽  
M. Mallika Arjunan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Banach Spaces ◽  
Point Theorem ◽  
Infinite Delay ◽  
Semigroup Theory ◽  
Existence Results ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
The Fixed Point Theorem

In this manuscript, we work to accomplish the Krasnoselskii's fixed point theorem to analyze the existence results for an impulsive neutral integro-differential equations  with infinite delay and non-instantaneous impulses in Banach spaces. By deploying the fixed point theorem with semigroup theory, we developed the coveted outcomes.   

scholarly journals A fixed point theorem in H-space and related results

1990 ◽  
Vol 42 (1) ◽  
pp. 133-140 ◽  
Author(s):  
E. Tarafdar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Minimax Inequalities ◽  
The Fixed Point Theorem

The equivalence of a fixed point theorem and the Fan-Knaster-Kuratowski-Mazurkiewicz theorem in H-space has been established. The fixed point theorem is then applied to obtain a theorem on sets with H-convex sections, and also results on minimax inequalities.

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