CONTROL OF NONLINEAR DISTRIBUTED PARAMETER SYSTEMS USING FIXED POINT THEOREMS: SOME NEW TECHNIQUES

1990 ◽  
pp. 427-432
Author(s):  
J.A.M. Felippe De Souza
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Distributed Parameter Systems ◽  
Distributed Parameter ◽  
New Techniques

scholarly journals Convergence theorems for generalized contractions and applications

Filomat ◽  
2020 ◽  
Vol 34 (3) ◽  
pp. 945-964
Author(s):  
Mudasir Younis ◽  
Deepak Singh ◽  
Stojan Radenovic ◽  
Mohammad Imdad
Keyword(s):  
Fixed Point ◽  
Graph Theory ◽  
Fixed Points ◽  
Open Problem ◽  
Fixed Point Theorems ◽  
Balance Model ◽  
Population Balance Model ◽  
New Techniques ◽  
New Class ◽  
Article Deal

The principal results in this article deal with the existence of fixed points of a new class of generalized F-contraction. In our approach, by visualizing some non-trivial examples we will obtain better geometrical interpretation. Our main results substantially improve the theory of F-contraction mappings and the related fixed point theorems. In section-4, application to graph theory is entrusted and proved results are endorsed by an example through graph. The presented new techniques give the possibility to justify the existence problems of the solutions for some class of integral equations. For the future aspects of our study, an open problem is suggested regarding discretized population balance model, whose solution may be derived from the established techniques.

Smoothing problems of distributed parameter systems with fixed point observations

1977 ◽  
Vol 97 (3) ◽  
pp. 110-117
Author(s):  
Shigeru Omatsu ◽  
Yutaka Tomita ◽  
Takashi Soeda
Keyword(s):  
Fixed Point ◽  
Distributed Parameter Systems ◽  
Distributed Parameter
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