Fixed Point Theorems for Multi-valued Nonexpansive Mappings in Banach Spaces

Bounegab, Zineb; Djebali, Smaïl

doi:10.1007/s00009-019-1327-9

Cited by 1 publication

(1 citation statement)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In their paper, Bounegab and Djebali [20] presented new fixed-point theorems for multivalued nonexpansive mappings and obtained some fixed-point results, including existence theorems.…”

Section: Introductionmentioning

confidence: 99%

Fixed Points for Multivalued Weighted Mean Contractions in a Symmetric Generalized Metric Space

Bucur

2020

Symmetry

View full text Add to dashboard Cite

This paper defines two new concepts: the concept of multivalued left-weighted mean contractions in the generalized sense of Nadler in a symmetric generalized metric space and the concept of multivalued right-weighted mean contractions in the generalized sense of Nadler in a symmetric generalized metric space, and demonstrates fixed-point theorems for them. For these, we demonstrated two fixed-point existence theorems and their corollaries, by using the properties of the regular-global-inf function and the properties of symmetric generalized metric spaces, respectively. Moreover, we demonstrated that the theorems can be applied in particular cases of inclusion systems. This article contains not only an example of application in science, but also an example of application in real life, in biology, in order to find an equilibrium solution to a prey–predator-type problem. The results of this paper extend theorems for multivalued left-weighted mean contractions in the generalized sense of Nadler, demonstrating that some of the results given by Rus (2008), Mureșan (2002), and Nadler (1969) in metric spaces can also be proved in symmetric generalized metric spaces.

show abstract

“…In their paper, Bounegab and Djebali [20] presented new fixed-point theorems for multivalued nonexpansive mappings and obtained some fixed-point results, including existence theorems.…”

Section: Introductionmentioning

confidence: 99%

Fixed Points for Multivalued Weighted Mean Contractions in a Symmetric Generalized Metric Space

Bucur

2020

Symmetry

View full text Add to dashboard Cite

show abstract

Fixed Point Theorems for Multi-valued Nonexpansive Mappings in Banach Spaces

Cited by 1 publication

References 18 publications

Fixed Points for Multivalued Weighted Mean Contractions in a Symmetric Generalized Metric Space

Fixed Points for Multivalued Weighted Mean Contractions in a Symmetric Generalized Metric Space

Contact Info

Product

Resources

About