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

Existence of multiple fixed points for nonlinear operators and applications

2008 ◽  
Vol 24 (7) ◽  
pp. 1079-1088 ◽  
Author(s):  
Jing Xian Sun ◽  
Ke Mei Zhang
Keyword(s):  
Fixed Points ◽  
Nonlinear Operators ◽  
Multiple Fixed Points

scholarly journals Some results on fixed points of nonlinear operators and solutions of equilibrium problems

2016 ◽  
Vol 09 (04) ◽  
pp. 1541-1548
Author(s):  
Peng Cheng ◽  
Zhaocui Min
Keyword(s):  
Fixed Points ◽  
Equilibrium Problems ◽  
Nonlinear Operators

scholarly journals Fixed points and positive eigenvalues for nonlinear operators

2006 ◽  
Vol 314 (2) ◽  
pp. 500-512 ◽  
Author(s):  
G. Isac ◽  
S.Z. Németh
Keyword(s):  
Fixed Points ◽  
Nonlinear Operators

scholarly journals Fixed points of some nonlinear operators in spaces of multifunctions and the Ulam stability

2017 ◽  
Vol 19 (4) ◽  
pp. 2441-2448 ◽  
Author(s):  
Janusz Brzdęk ◽  
Magdalena Piszczek
Keyword(s):  
Fixed Points ◽  
Ulam Stability ◽  
Nonlinear Operators

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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