scholarly journals Fixed points of nonlinear contractions with applications

2021 ◽  
Vol 6 (9) ◽  
pp. 9378-9396
Author(s):  
Mohammed Shehu Shagari ◽  
◽  
Qiu-Hong Shi ◽  
Saima Rashid ◽  
Usamot Idayat Foluke ◽  
...  
Keyword(s):  
Fixed Points ◽  
Nonlinear Contractions

The asymptotic behaviour of semigroups of nonlinear contractions having large sets of fixed points

1978 ◽  
Vol 80 (3-4) ◽  
pp. 261-271 ◽  
Author(s):  
A. Pazy
Keyword(s):  
Asymptotic Behaviour ◽  
Fixed Points ◽  
Finite Codimension ◽  
Limit Sets ◽  
Large Sets ◽  
Finite Dimensional ◽  
Weil Theorem ◽  
Nonlinear Contractions

SynopsisThe asymptotic behaviour of semigroups of nonlinear contractions which have a set of fixed points containing a ball of finite codimension is studied. It is shown that the ω-limit sets of such semigroups are finite dimensional tori, and that an analogue of the classical Kronecker-Weil theorem holds for such semigroups.

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.

scholarly journals Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Binayak S. Choudhury ◽  
Erdal Karapınar ◽  
Amaresh Kundu
Keyword(s):  
Fixed Points ◽  
Point Theorem ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Triple Coincidence ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Nonlinear Contractions ◽  
Coupled Fixed Points

Tripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by Berinde and Borcut, 2011. Here using a separate methodology we extend this result to a triple coincidence point theorem in partially ordered metric spaces. We have defined several concepts pertaining to our results. The main results have several corollaries and an illustrative example. The example shows that the extension proved here is actual and also the main theorem properly contains all its corollaries.

scholarly journals A Note on Fixed Points for Asymptotic Nonlinear Contractions

2012 ◽  
Vol 1 (2) ◽  
pp. 109-111
Author(s):  
Behzad Djafari Rouhani ◽  
Jennifer Love
Keyword(s):  
Fixed Points ◽  
Nonlinear Contractions
Sign in / Sign up

Export Citation Format

Share Document