scholarly journals On Asymptotic Pointwise Contractions in Modular Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Afrah A. N. Abdou
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Modular Metric Spaces

In this paper we study and prove some new fixed points theorems for pointwise and asymptotic pointwise contraction mappings in modular metric spaces.

scholarly journals Meir-Keeler type contractions on modular metric spaces

Filomat ◽  
2018 ◽  
Vol 32 (10) ◽  
pp. 3697-3707 ◽  
Author(s):  
Ümit Aksoy ◽  
Erdal Karapınar ◽  
İnci Erhan ◽  
Vladimir Rakocevic
Keyword(s):  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Modular Metric Spaces ◽  
Theoretical Results

In this paper we introduce contraction mappings of Meir-Keeler types on modular metric spaces and investigate the existence and uniqueness of their fixed points. We give an example which demonstrates our theoretical results.

The Contraction Principle for Multivalued Mappings on a Modular Metric Space with a Graph

2016 ◽  
Vol 59 (01) ◽  
pp. 3-12 ◽  
Author(s):  
Monther Rashed Alfuraidan
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Orlicz Spaces ◽  
Multivalued Mappings ◽  
Linear Spaces ◽  
Modular Metric Spaces ◽  
Modular Spaces

Abstract We study the existence of fixed points for contraction multivalued mappings in modular metric spaces endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. This paper can be seen as a generalization of Nadler and Edelstein’s fixed point theorems to modular metric spaces endowed with a graph.

scholarly journals Fixed point theorems for contraction mappings in modular metric spaces

2011 ◽  
Vol 2011 (1) ◽  
pp. 93 ◽  
Author(s):  
Chirasak Mongkolkeha ◽  
Wutiphol Sintunavarat ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Modular Metric Spaces

scholarly journals Common fixed points of multivalued F-contractions on metric spaces with a directed graph

2016 ◽  
Vol 32 (1) ◽  
pp. 1-12
Author(s):  
MUJAHID ABBAS ◽  
◽  
MONTHER R. ALFURAIDAN ◽  
TALAT NAZIR ◽  
◽  
...  
Keyword(s):  
Fixed Points ◽  
Directed Graph ◽  
Metric Space ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contraction Mappings

In this paper, we establish the existence of common fixed points of multivalued F-contraction mappings on a metric space endowed with a graph. An example is presented to support the results proved herein. Our results unify, generalize and complement various known comparable results in the literature.

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