Existence Theory on Modular Metric Spaces

2018 ◽  
pp. 29-57
Author(s):  
Anantachai Padcharoen ◽  
Parin Chaipunya ◽  
Poom Kumam
Keyword(s):  
Metric Spaces ◽  
Existence Theory ◽  
Modular Metric Spaces

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 Non-Unique Fixed Point Theorems in Modular Metric Spaces

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 549
Author(s):  
Sharafat Hussain
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Periodic Points ◽  
Modular Metric Spaces ◽  
Modular Spaces

This paper is devoted to the study of Ćirić-type non-unique fixed point results in modular metric spaces. We obtain various theorems about a fixed point and periodic points for a self-map on modular spaces which are not necessarily continuous and satisfy certain contractive conditions. Our results extend the results of Ćirić, Pachpatte, and Achari in modular metric spaces.

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 Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications

Heliyon ◽  
2020 ◽  
Vol 6 (8) ◽  
pp. e04785
Author(s):  
Godwin Amechi Okeke ◽  
Daniel Francis ◽  
Manuel de la Sen
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Modular Metric Spaces

scholarly journals Quasi-Contractive Mappings in Modular Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-5 ◽  
Author(s):  
Yeol J. E. Cho ◽  
Reza Saadati ◽  
Ghadir Sadeghi
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Modular Metric Spaces ◽  
Contractive Mappings

We prove the existence of fixed point and uniqueness of quasi-contractive mappings in modular metric spaces which was introduced by Ćirić

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