Piecewise monotone mappings

1988 ◽  
pp. 20-33
Author(s):  
Chris Preston
Keyword(s):  
Monotone Mappings ◽  
Piecewise Monotone

scholarly journals On the uniqueness of equilibrium states for piecewise monotone mappings

1990 ◽  
Vol 97 (1) ◽  
pp. 27-36 ◽  
Author(s):  
Manfred Denker ◽  
Gerhard Keller ◽  
Mariusz Urbański
Keyword(s):  
Equilibrium States ◽  
Monotone Mappings ◽  
Piecewise Monotone ◽  
Uniqueness Of Equilibrium

scholarly journals Entropy of piecewise monotone mappings

1980 ◽  
Vol 67 (1) ◽  
pp. 45-63 ◽  
Author(s):  
M. Misiurewicz ◽  
W. Szlenk
Keyword(s):  
Monotone Mappings ◽  
Piecewise Monotone

Approximating the minimum-norm fixed point of pseudocontractive mappings

2015 ◽  
Vol 08 (02) ◽  
pp. 1550036
Author(s):  
H. Zegeye ◽  
O. A. Daman
Keyword(s):  
Fixed Point ◽  
Iterative Process ◽  
Convergence Result ◽  
Monotone Mappings ◽  
Minimum Norm ◽  
Nonlinear Operators ◽  
Linear Inverse Problems ◽  
Minimization Problems ◽  
Pseudocontractive Mappings ◽  
Convex Minimization Problems

We introduce an iterative process which converges strongly to the minimum-norm fixed point of Lipschitzian pseudocontractive mapping. As a consequence, convergence result to the minimum-norm zero of monotone mappings is proved. In addition, applications to convexly constrained linear inverse problems and convex minimization problems are included. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

scholarly journals A strong convergence theorem for a zero of the sum of a finite family of maximally monotone mappings

2020 ◽  
Vol 53 (1) ◽  
pp. 152-166 ◽  
Author(s):  
Getahun B. Wega ◽  
Habtu Zegeye ◽  
Oganeditse A. Boikanyo
Keyword(s):  
Strong Convergence ◽  
Approximation Method ◽  
Convergence Theorem ◽  
Finite Family ◽  
Strong Convergence Theorem ◽  
Monotone Mappings ◽  
Important Class ◽  
Numerical Example ◽  
Minimization Problems ◽  
Nonlinear Mappings

AbstractThe purpose of this article is to study the method of approximation for zeros of the sum of a finite family of maximally monotone mappings and prove strong convergence of the proposed approximation method under suitable conditions. The method of proof is of independent interest. In addition, we give some applications to the minimization problems and provide a numerical example which supports our main result. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

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