scholarly journals A fixed point theorem for a nonlinear type contraction

1978 ◽  
Vol 1 (1) ◽  
pp. 57-61
Author(s):  
S. A. Husain ◽  
V. M. Sehgal
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Special Cases ◽  
Nonlinear Contractions ◽  
Type Contraction

A well-known result of Boyd and Wong [1] on nonlinear contractions is extended. Several other known results are obtained as special cases.

A general procedure for rational inequalities

2015 ◽  
Vol 08 (01) ◽  
pp. 1550014
Author(s):  
B. E. Rhoades
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
General Procedure ◽  
General Theorem ◽  
Type Inequality ◽  
Special Cases ◽  
Rational Type

Recently Bhatt, Chaukiyal and Dimri proved a fixed point theorem for a pair of maps satisfying a rational type inequality. It is the purpose of this paper to show that this result, along with a number of others, are all special cases of a general theorem of Sehie Park.

scholarly journals Multiple Positive Symmetric Solutions top-Laplacian Dynamic Equations on Time Scales

2009 ◽  
Vol 2009 ◽  
pp. 1-27
Author(s):  
You-Hui Su ◽  
Can-Yun Huang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Positive Solutions ◽  
Time Scales ◽  
Point Theorem ◽  
Sufficient Conditions ◽  
Dynamic Equations ◽  
Discrete Equations ◽  
Special Cases ◽  
Krasnosel’Skii’S Fixed Point Theorem

This paper makes a study on the existence of positive solution top-Laplacian dynamic equations on time scales𝕋. Some new sufficient conditions are obtained for the existence of at least single or twin positive solutions by using Krasnosel'skii's fixed point theorem and new sufficient conditions are also obtained for the existence of at least triple or arbitrary odd number positive solutions by using generalized Avery-Henderson fixed point theorem and Avery-Peterson fixed point theorem. As applications, two examples are given to illustrate the main results and their differences. These results are even new for the special cases of continuous and discrete equations, as well as in the general time-scale setting.

scholarly journals Compatible mappings and common fixed points “revisited”

1994 ◽  
Vol 17 (1) ◽  
pp. 37-40 ◽  
Author(s):  
Gerald Jungck
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Common Fixed Points ◽  
Contraction Principle ◽  
Compatible Mappings ◽  
Type Contraction

A fixed point theorem involving a Meir-Keeler type contraction principle is refined by diminishing continuity requirements.

scholarly journals A Fixed Point Theorem for ψF-Geraghty Contraction on Metric-Like Spaces

2017 ◽  
Vol 59 (1) ◽  
pp. 5-12
Author(s):  
Acar Özlem ◽  
Altun Ishak
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
New Type ◽  
Type Contraction

AbstractIn this paper, we define a new type Geraghty type contraction, ψF-Geraghty contraction, and prove a fixed point theorem for this type contraction and give an illustrative example.

scholarly journals Fixed Point Results Satisfying Rational Type Contraction inG-Metric Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
Branislav Z. Popović ◽  
Muhammad Shoaib ◽  
Muhammad Sarwar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Contractive Condition ◽  
Fixed Point Result ◽  
Rational Type ◽  
Type Contraction

A unique fixed point theorem for three self-maps under rational type contractive condition is established. In addition, a unique fixed point result for six continuous self-mappings through rational type expression is also discussed.

scholarly journals Cyclic Coupled Fixed Point Result Using Kannan Type Contractions

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Binayak S. Choudhury ◽  
Pranati Maity
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Coupled Fixed Point ◽  
Fixed Point Result ◽  
Coupled Fixed Point Theorem ◽  
Type Contraction

Putting several existing ideas together, in this paper we define the concept of cyclic coupled Kannan type contraction. We establish a strong coupled fixed point theorem for such mappings. The theorem is supported with an illustrative example.

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