scholarly journals Strictly convex metric spaces with round balls and fixed points

2005 ◽  
Author(s):  
Inese Bula
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Strictly Convex ◽  
Convex Metric Spaces

RANDOM COINCIDENCE AND FIXED POINTS FOR WEAKLY COMPATIBLE MAPPINGS IN CONVEX METRIC SPACES

2009 ◽  
Vol 02 (02) ◽  
pp. 171-182 ◽  
Author(s):  
Izmat Beg ◽  
Adnan Jahangir ◽  
Akbar Azam
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Coincidence Points ◽  
Random Coincidence ◽  
Complete Metric Spaces ◽  
Random Fixed Points ◽  
Weakly Compatible ◽  
Convex Metric Spaces

Some new theorems on random coincidence points and random fixed points for weakly compatible mappings in convex separable complete metric spaces have been established. These results generalize some recent well known comparable results in the literature.

scholarly journals Fixed Points of Multivalued Nonself Almost Contractions

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Maryam A. Alghamdi ◽  
Vasile Berinde ◽  
Naseer Shahzad
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Convex Metric Spaces

We consider multivalued nonself-weak contractions on convex metric spaces and establish the existence of a fixed point of such mappings. Presented theorem generalizes results of M. Berinde and V. Berinde (2007), Assad and Kirk (1972), and many others existing in the literature.

scholarly journals Viscosity Approximation Methods for * −Nonexpansive Multi-Valued Mappings in Convex Metric Spaces

Axioms ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 10
Author(s):  
Azadeh Ghanifard ◽  
Hashem Parvaneh Masiha ◽  
Manuel De La Sen ◽  
Maryam Ramezani
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Approximation Methods ◽  
Viscosity Approximation ◽  
Convergence Theorems ◽  
Convex Metric Spaces ◽  
Viscosity Approximation Methods

In this paper, we prove convergence theorems for viscosity approximation processes involving * −nonexpansive multi-valued mappings in complete convex metric spaces. We also consider finite and infinite families of such mappings and prove convergence of the proposed iteration schemes to common fixed points of them. Our results improve and extend some corresponding results.

scholarly journals Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces

2008 ◽  
Vol 2008 ◽  
pp. 1-9 ◽  
Author(s):  
A. Kaewcharoen ◽  
B. Panyanak
Keyword(s):  
Fixed Points ◽  
Banach Spaces ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Uniformly Convex ◽  
Convex Metric Spaces ◽  
Weakly Inward

The purpose of this paper is to ensure the existence of fixed points for multivalued nonexpansive weakly inward nonself-mappings in uniformly convex metric spaces. This extends a result of Lim (1980) in Banach spaces. All results of Dhompongsa et al. (2005) and Chaoha and Phon-on (2006) are also extended.

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