On (α-φ)-Meir-keeler contractions on partial hausdorff metric spaces

Chi Ming Chen; Erdal Karapinar; Donal O'Regan

On (α-φ)-Meir-keeler contractions on partial hausdorff metric spaces

Chi Ming Chen, Erdal Karapinar, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

10 Citations (Scopus)

Abstract

In this note we introduce the concept of a (α - φ)-Meir-Keeler contraction for multi-valued mappings and we investigate the existence of fixed points of such mappings in a complete partial metric space. Our results generalize, extend and unify several recent fixed point results.

Original language	English
Pages (from-to)	101-110
Number of pages	10
Journal	UPB Scientific Bulletin, Series A: Applied Mathematics and Physics
Volume	80
Issue number	1
Publication status	Published - 2018

Keywords

Fixed point
Partial Hausdorff metric space
Strictly α-admissible
φk-Meir-Keeler contraction

Cite this

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title = "On (α-φ)-Meir-keeler contractions on partial hausdorff metric spaces",

abstract = "In this note we introduce the concept of a (α - φ)-Meir-Keeler contraction for multi-valued mappings and we investigate the existence of fixed points of such mappings in a complete partial metric space. Our results generalize, extend and unify several recent fixed point results.",

keywords = "Fixed point, Partial Hausdorff metric space, Strictly α-admissible, φk-Meir-Keeler contraction",

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T1 - On (α-φ)-Meir-keeler contractions on partial hausdorff metric spaces

AU - Chen, Chi Ming

AU - Karapinar, Erdal

AU - O'Regan, Donal

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N2 - In this note we introduce the concept of a (α - φ)-Meir-Keeler contraction for multi-valued mappings and we investigate the existence of fixed points of such mappings in a complete partial metric space. Our results generalize, extend and unify several recent fixed point results.

AB - In this note we introduce the concept of a (α - φ)-Meir-Keeler contraction for multi-valued mappings and we investigate the existence of fixed points of such mappings in a complete partial metric space. Our results generalize, extend and unify several recent fixed point results.

KW - Fixed point

KW - Partial Hausdorff metric space

KW - Strictly α-admissible

KW - φk-Meir-Keeler contraction

UR - https://www.scopus.com/pages/publications/85042864926

M3 - Article

AN - SCOPUS:85042864926

SN - 1223-7027

VL - 80

SP - 101

EP - 110

JO - UPB Scientific Bulletin, Series A: Applied Mathematics and Physics

JF - UPB Scientific Bulletin, Series A: Applied Mathematics and Physics

IS - 1

ER -

On (α-φ)-Meir-keeler contractions on partial hausdorff metric spaces

Abstract

Keywords

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