KKM mappings in cone metric spaces and some fixed point theorems

Duran Turkoglu; Muhib Abuloha; Thabet Abdeljawad

doi:10.1016/j.na.2009.06.058

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KKM mappings in cone metric spaces and some fixed point theorems

Journal article

Peer reviewed

KKM mappings in cone metric spaces and some fixed point theorems

Duran Turkoglu, Muhib Abuloha and Thabet Abdeljawad

Nonlinear analysis, Vol.72(1), pp.348-353

2010

DOI: https://doi.org/10.1016/j.na.2009.06.058

Abstract

Admissible set

Approximate fixed point property

Closed ball

Compactly open

Cone metric space

Fixed point

Hyperconvex cone metric space

KKM property

Minihedral cone

Selection continuous

Semicontinuous

Strongly minihedral cone

Totally bounded

In this paper, we define KKM mappings in cone metric spaces and define N ℜ -cone metric spaces to obtain some fixed point theorems and hence generalize the results obtained in [A. Amini, M. Fakhar, J. Zafarani, KKM mapping in metric spaces, Nonlinear Anal. 60 (2005) 1045–1052].

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Title: KKM mappings in cone metric spaces and some fixed point theorems
Creators - without role: Duran Turkoglu - Gazi University
Muhib Abuloha - Gazi University
Thabet Abdeljawad - Çankaya University
Publication Details: Nonlinear analysis, Vol.72(1), pp.348-353
Publisher: Elsevier Ltd
Identifiers: 9927070908331
Academic Unit: Prince Sultan University
Language: English
Resource Type: Journal article