scholarly journals Fixed points of discontinuous mappings in uniformly convex metric spaces

2018 ◽  
Vol 19 (1) ◽  
pp. 397-406
Author(s):  
Sami Atif Shukri ◽  
◽  
Vasile Berinde ◽  
Abdul Rahim Khan ◽  
◽  
...  
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Uniformly Convex ◽  
Convex Metric Spaces ◽  
Discontinuous Mappings

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.

scholarly journals Approximating Fixed Points of Some Maps in Uniformly Convex Metric Spaces

2010 ◽  
Vol 2010 (1) ◽  
pp. 385986 ◽  
Author(s):  
AbdulRahim Khan ◽  
Hafiz Fukhar-ud-din ◽  
AbdulAziz Domlo
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Uniformly 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 On convergence theorems for single-valued and multi-valued mappings in p-uniformly convex metric spaces

2021 ◽  
Vol 37 (3) ◽  
pp. 513-527
Author(s):  
JENJIRA PUIWONG ◽  
◽  
SATIT SAEJUNG ◽  
◽  
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Iterative Sequence ◽  
Uniformly Convex ◽  
Fixed Point Set ◽  
Convergence Theorems ◽  
Convex Metric Spaces ◽  
Strict Fixed Point ◽  
Point Set

We prove ∆-convergence and strong convergence theorems of an iterative sequence generated by the Ishikawa’s method to a fixed point of a single-valued quasi-nonexpansive mappings in p-uniformly convex metric spaces without assuming the metric convexity assumption. As a consequence of our single-valued version, we obtain a result for multi-valued mappings by showing that every multi-valued quasi-nonexpansive mapping taking compact values admits a quasi-nonexpansive selection whose fixed-point set of the selection is equal to the strict fixed-point set of the multi-valued mapping. In particular, we immediately obtain all of the convergence theorems of Laokul and Panyanak [Laokul, T.; Panyanak, B. A generalization of the (CN) inequality and its applications. Carpathian J. Math. 36 (2020), no. 1, 81–90] and we show that some of their assumptions are superfluous.

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.

Sign in / Sign up

Export Citation Format

Share Document