On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results

• Autorzy: Marwan Amin Kutbi , Wutiphol Sintunavarat
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive inequality of integral type. Many fixed point results for multi-valued mappings in metric spaces endowed with an arbitrary binary relation and metric spaces endowed with graph are given here to illustrate the results in this paper.

Słowa kluczowe

EN

α-admissible multi-valued mappings; α*-admissible multi-valued mappings; Weakly (α,ψ,ξ)-contractive multivalued mappings

Kategorie tematyczne

• 47H10: Fixed-point theorems
• 54H25: Fixed-point and coincidence theorems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 167-180

Daty

wydano

2016-01-01

otrzymano

2015-06-15

zaakceptowano

2016-01-15

online

2016-03-29

Twórcy

autor

Marwan Amin Kutbi

• Department of Mathematics, King Abdulaziz University, P.O.Box 80203, Jeddah 21589,

autor

Wutiphol Sintunavarat

• Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, . E-mail:

Identyfikatory

DOI

10.1515/math-2016-0013