Some fixed point theorems for (α, Ψ, φ)-contractive multivalued mappings in b -metric spaces

Habes Alsamir, Mohd. Salmi Md. Noorani, Wasfi Shatnawi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The purpose of this work is to introduce new types of contraction mappings in the sense of a complete b-metric spaces. The existence of fixed point results for these contraction mappings in are obtained. Our presented results generalize, extend, and improve results on the topic in complete b-metric spaces the literature. We also state illustrative example to claim that our work properly generalize some results in the literature.

Original languageEnglish
Title of host publication2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium
PublisherAmerican Institute of Physics Inc.
Volume1784
ISBN (Electronic)9780735414464
DOIs
Publication statusPublished - 17 Nov 2016
Event2016 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2016 - Selangor, Malaysia
Duration: 13 Apr 201614 Apr 2016

Other

Other2016 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2016
CountryMalaysia
CitySelangor
Period13/4/1614/4/16

Fingerprint

metric space
contraction
theorems

Keywords

  • complete b-metric spaces
  • α-admissable multivalued mapping
  • α-continuous function

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Alsamir, H., Md. Noorani, M. S., & Shatnawi, W. (2016). Some fixed point theorems for (α, Ψ, φ)-contractive multivalued mappings in b -metric spaces. In 2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium (Vol. 1784). [050008] American Institute of Physics Inc.. https://doi.org/10.1063/1.4966827

Some fixed point theorems for (α, Ψ, φ)-contractive multivalued mappings in b -metric spaces. / Alsamir, Habes; Md. Noorani, Mohd. Salmi; Shatnawi, Wasfi.

2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. Vol. 1784 American Institute of Physics Inc., 2016. 050008.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Alsamir, H, Md. Noorani, MS & Shatnawi, W 2016, Some fixed point theorems for (α, Ψ, φ)-contractive multivalued mappings in b -metric spaces. in 2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. vol. 1784, 050008, American Institute of Physics Inc., 2016 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2016, Selangor, Malaysia, 13/4/16. https://doi.org/10.1063/1.4966827
Alsamir H, Md. Noorani MS, Shatnawi W. Some fixed point theorems for (α, Ψ, φ)-contractive multivalued mappings in b -metric spaces. In 2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. Vol. 1784. American Institute of Physics Inc. 2016. 050008 https://doi.org/10.1063/1.4966827
Alsamir, Habes ; Md. Noorani, Mohd. Salmi ; Shatnawi, Wasfi. / Some fixed point theorems for (α, Ψ, φ)-contractive multivalued mappings in b -metric spaces. 2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. Vol. 1784 American Institute of Physics Inc., 2016.
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