Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem

Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem

Cone-valued lower semicontinuous maps are used to generalize Cristi-Kirik's fixed point theorem to Cone metric spaces. The cone under consideration is assumed to be strongly minihedral and normal. First we prove such a type of fixed point theorem in compact cone metric spaces and then genera...

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Main Authors: Thabet Abdeljawad, Erdal Karapinar
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2009/574387
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spelling doaj-4e3a2bbfdd3948828a257f4b4734db352020-11-24T21:21:30ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-01200910.1155/2009/574387Quasicone Metric Spaces and Generalizations of Caristi Kirk's TheoremThabet AbdeljawadErdal KarapinarCone-valued lower semicontinuous maps are used to generalize Cristi-Kirik's fixed point theorem to Cone metric spaces. The cone under consideration is assumed to be strongly minihedral and normal. First we prove such a type of fixed point theorem in compact cone metric spaces and then generalize to complete cone metric spaces. Some more general results are also obtained in quasicone metric spaces. http://dx.doi.org/10.1155/2009/574387
collection DOAJ
language English
format Article
sources DOAJ
author Thabet Abdeljawad
Erdal Karapinar
spellingShingle Thabet Abdeljawad
Erdal Karapinar
Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem
Fixed Point Theory and Applications
author_facet Thabet Abdeljawad
Erdal Karapinar
author_sort Thabet Abdeljawad
title Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem
title_short Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem
title_full Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem
title_fullStr Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem
title_full_unstemmed Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem
title_sort quasicone metric spaces and generalizations of caristi kirk's theorem
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2009-01-01
description Cone-valued lower semicontinuous maps are used to generalize Cristi-Kirik's fixed point theorem to Cone metric spaces. The cone under consideration is assumed to be strongly minihedral and normal. First we prove such a type of fixed point theorem in compact cone metric spaces and then generalize to complete cone metric spaces. Some more general results are also obtained in quasicone metric spaces.
url http://dx.doi.org/10.1155/2009/574387
work_keys_str_mv AT thabetabdeljawad quasiconemetricspacesandgeneralizationsofcaristikirk39stheorem
AT erdalkarapinar quasiconemetricspacesandgeneralizationsofcaristikirk39stheorem
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