Erratum to “Fixed-Point Theorems for Multivalued Mappings in Modular Metric 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.

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Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces

Abstract and Applied Analysis ◽

10.1155/2012/503504 ◽

2012 ◽

Vol 2012 ◽

pp. 1-14 ◽

Cited By ~ 3

Author(s):

Parin Chaipunya ◽

Chirasak Mongkolkeha ◽

Wutiphol Sintunavarat ◽

Poom Kumam

Keyword(s):

Fixed Point ◽

Fixed Points ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Multivalued Mappings ◽

Modular Metric Spaces ◽

Contraction Type ◽

The Stability

We give some initial properties of a subset of modular metric spaces and introduce some fixed-point theorems for multivalued mappings under the setting of contraction type. An appropriate example is as well provided. The stability of fixed points in our main theorems is also studied.

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Some related fixed point theorems for multivalued mappings on two metric spaces

Carpathian Mathematical Publications ◽

10.15330/cmp.12.2.392-400 ◽

2020 ◽

Vol 12 (2) ◽

pp. 392-400

Author(s):

Ö. Biçer ◽

M. Olgun ◽

T. Alyildiz ◽

I. Altun

Keyword(s):

Fixed Point ◽

Classical Result ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Multivalued Mappings ◽

Compact Set ◽

Complete Metric Spaces ◽

Bounded Set ◽

Contraction Type ◽

Definition Of

The definition of related mappings was introduced by Fisher in 1981. He proved some theorems about the existence of fixed points of single valued mappings defined on two complete metric spaces and relations between these mappings. In this paper, we present some related fixed point results for multivalued mappings on two complete metric spaces. First we give a classical result which is an extension of the main result of Fisher to the multivalued case. Then considering the recent technique of Wardowski, we provide two related fixed point results for both compact set valued and closed bounded set valued mappings via $F$-contraction type conditions.

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Some fixed point theorems in modular metric spaces

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.009.06.78 ◽

2016 ◽

Vol 09 (06) ◽

pp. 4381-4387 ◽

Cited By ~ 3

Author(s):

Afrah A. N. Abdou

Keyword(s):

Fixed Point ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Modular Metric Spaces

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Non-Unique Fixed Point Theorems in Modular Metric Spaces

Symmetry ◽

10.3390/sym11040549 ◽

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.

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