Nonlinear Operators and Fixed Points

2009 ◽  
pp. 147-265
Author(s):  
Nikolaos S. Papageorgiou ◽  
Sophia Th. Kyritsi-Yiallourou
Keyword(s):  
Fixed Points ◽  
Nonlinear Operators

Coupled fixed points of nonlinear operators with applications

1987 ◽  
Vol 11 (5) ◽  
pp. 623-632 ◽  
Author(s):  
Dajun Guo ◽  
V. Lakshmikantham
Keyword(s):  
Fixed Points ◽  
Nonlinear Operators ◽  
Coupled Fixed Points

scholarly journals Fixed Point, Data Dependence, and Well-Posed Problems for Multivalued Nonlinear Contractions

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Iram Iqbal ◽  
Nawab Hussain ◽  
Hamed H. Al-Sulami ◽  
Shanza Hassan
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Data Dependence ◽  
Well Posedness ◽  
Nonlinear Operators ◽  
Complete Metric Spaces ◽  
Multivalued Operators ◽  
Point Data ◽  
Well Posed ◽  
Nonlinear Contractions

The aim of the paper is to discuss data dependence, existence of fixed points, strict fixed points, and well posedness of some multivalued generalized contractions in the setting of complete metric spaces. Using auxiliary functions, we introduce Wardowski type multivalued nonlinear operators that satisfy a novel class of contractive requirements. Furthermore, the existence and data dependence findings for these multivalued operators are obtained. A nontrivial example is also provided to support the results. The results generalize, improve, and extend existing results in the literature.

Nonlinear Operators and Fixed Points

2003 ◽  
pp. 1-168
Author(s):  
Zdzisław Denkowski ◽  
Stanisław Migόrski ◽  
Nikolas S. Papageorgiou
Keyword(s):  
Fixed Points ◽  
Nonlinear Operators

scholarly journals Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators

2013 ◽  
Vol 2013 (1) ◽  
pp. 218 ◽  
Author(s):  
Adrian Petruşel ◽  
Gabriela Petruşel ◽  
Cristina Urs
Keyword(s):  
Fixed Points ◽  
Nonlinear Operators ◽  
Vector Valued ◽  
Coupled Fixed Points
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