On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results
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 ex...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2016-01-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2016-0013 |
| _version_ | 1818908973783318528 |
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| author | Kutbi Marwan Amin Sintunavarat Wutiphol |
| author_facet | Kutbi Marwan Amin Sintunavarat Wutiphol |
| author_sort | Kutbi Marwan Amin |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-19T22:19:32Z |
| format | Article |
| id | doaj.art-13b52551776a4212bb157d6c9d25d90d |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-19T22:19:32Z |
| publishDate | 2016-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-13b52551776a4212bb157d6c9d25d90d2022-12-21T20:03:40ZengDe GruyterOpen Mathematics2391-54552016-01-0114116718010.1515/math-2016-0013math-2016-0013On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point resultsKutbi Marwan Amin0Sintunavarat Wutiphol1Department of Mathematics, King Abdulaziz University, P.O.Box 80203, Jeddah 21589, ArabiaDepartment of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand. E-mail: poom_teun@hotmail.comThe 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.https://doi.org/10.1515/math-2016-0013α-admissible multi-valued mappingsα*-admissible multi-valued mappingsweakly (α,ψ,ξ)-contractive multivalued mappings47h1054h25 |
| spellingShingle | Kutbi Marwan Amin Sintunavarat Wutiphol On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results Open Mathematics α-admissible multi-valued mappings α*-admissible multi-valued mappings weakly (α,ψ,ξ)-contractive multivalued mappings 47h10 54h25 |
| title | On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results |
| title_full | On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results |
| title_fullStr | On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results |
| title_full_unstemmed | On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results |
| title_short | On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results |
| title_sort | on the weakly α ψ ξ contractive condition for multi valued operators in metric spaces and related fixed point results |
| topic | α-admissible multi-valued mappings α*-admissible multi-valued mappings weakly (α,ψ,ξ)-contractive multivalued mappings 47h10 54h25 |
| url | https://doi.org/10.1515/math-2016-0013 |
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