An extended local principle of fixed points for weakly contractive set-valued mappings

Optimization ◽  
2021 ◽  
pp. 1-12
Author(s):  
M. Ait Mansour ◽  
A. El Bekkali ◽  
J. Lahrache
Keyword(s):  
Fixed Points ◽  
Local Principle ◽  
Set Valued Mappings ◽  
Weakly Contractive

scholarly journals F-Metric, F-Contraction and Common Fixed-Point Theorems with Applications

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 586 ◽  
Author(s):  
Awais Asif ◽  
Muhammad Nazam ◽  
Muhammad Arshad ◽  
Sang Og Kim
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
The Third ◽  
Set Valued Mappings ◽  
Common Fixed Point Theorems

In this paper, we noticed that the existence of fixed points of F-contractions, in F -metric space, can be ensured without the third condition (F3) imposed on the Wardowski function F : ( 0 , ∞ ) → R . We obtain fixed points as well as common fixed-point results for Reich-type F-contractions for both single and set-valued mappings in F -metric spaces. To show the usability of our results, we present two examples. Also, an application to functional equations is presented. The application shows the role of fixed-point theorems in dynamic programming, which is widely used in computer programming and optimization. Our results extend and generalize the previous results in the existing literature.

scholarly journals Related fixed points for set-valued mappings on two uniform spaces

2004 ◽  
Vol 2004 (69) ◽  
pp. 3783-3791 ◽  
Author(s):  
Duran Türkoğlu ◽  
Brian Fisher
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Uniform Spaces ◽  
Set Valued Mappings

Some related fixed point theorems for set-valued mappings on two complete and compact uniform spaces are proved.

Iterative Methods for Fixed Points of Asymptotically Weakly Contractive Maps

2003 ◽  
Vol 82 (7) ◽  
pp. 701-712
Author(s):  
R.P. Gilbert ◽  
C.E. Chidume ◽  
H. Zegeye ◽  
S.J. Aneke
Keyword(s):  
Fixed Points ◽  
Iterative Methods ◽  
Contractive Maps ◽  
Weakly Contractive

scholarly journals Existence of Equilibria and Fixed Points of Set-Valued Mappings on Epi-Lipschitz Sets with Weak Tangential Conditions

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Messaoud Bounkhel
Keyword(s):  
Fixed Points ◽  
Tangent Cone ◽  
Compact Set ◽  
Set Valued Mapping ◽  
Clarke Tangent Cone ◽  
Set Valued Mappings ◽  
Existence Of Equilibria

We prove a new result of existence of equilibria for an u.s.c. set-valued mappingFon a compact setSofRnwhich is epi-Lipschitz and satisfies a weak tangential condition. Equivalently this provides existence of fixed points of the set-valued mappingx⇉F(x)-x. The main point of our result lies in the fact that we do not impose the usual tangential condition in terms of the Clarke tangent cone. Illustrative examples are stated showing the importance of our results and that the existence of such equilibria does not need necessarily such usual tangential condition.

Sign in / Sign up

Export Citation Format

Share Document