Fixed Points for Some Multivalued Mappings in Gp- Metric Spaces

2017 ◽  
Vol 23 (4) ◽  
pp. 1-12
Author(s):  
Melek Ayhan ◽  
Cafer Aydın
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Multivalued Mappings

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 Some new types multivalued F-contractions on quasi metric spaces and their fixed points

2019 ◽  
Vol 35 (1) ◽  
pp. 41-50
Author(s):  
HATICE ASLAN HANCER ◽  
◽  
MURAT OLGUN ◽  
ISHAK ALTUN ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Fixed Point Result ◽  
Q Function

In this paper we present two new results for the existence of fixed points of multivalued mappings with closed values on quasi metric space. First we introduce the multivalued Fd-contraction on quasi metric space (X, d) and give a fixed point result related to this concept. Then taking into account the Q-function on a quasi metric space, we establish a Q-function version of this concept as multivalued Fq-contraction and hence we present a fixed point result to see the effect of Q-function to existence of fixed point of multivalued mappings on quasi metric space.

scholarly journals Some common fixed points of multivalued mappings on complex-valued metric spaces with homotopy result

2017 ◽  
Vol 10 (07) ◽  
pp. 3381-3396 ◽  
Author(s):  
Wasfi Shatanawi ◽  
Mohd Salmi MD Norani ◽  
Jamshaid Ahmad ◽  
Habes Alsamir ◽  
Marwan Amin Kutbi
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
Homotopy Result ◽  
Complex Valued

scholarly journals Fixed point theorems of generalized multi-valued mappings in cone b-metric spaces

2021 ◽  
Vol 25 (1) ◽  
pp. 31-45
Author(s):  
Mani Gunaseelan ◽  
Mishra Narayan ◽  
Mishra Narayan
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Space Setting

The aim of this paper is to establish fixed points for multivalued mappings, by adapting the ideas in [1] to the cone b-metric space setting.

scholarly journals Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
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.

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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