Quadruple fixed point theorems for nonlinear contractions on partial metric spaces

[EN] The notion of coupled fixed point was introduced by Guo and Laksmikantham [12]. Later Gnana Bhaskar and Lakshmikantham in [11] investigated the coupled fixed points in the setting of partially ordered set by defining the notion of mixed monotone property. Very recently, the concept of tripled f...

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Bibliographic Details
Authors: Karapinar, Erdal, Tas, Kenan
Format: article
Publication Date:2014
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/43538
Online Access:https://riunet.upv.es/handle/10251/43538
Access Level:Open access
Keyword:Fixed point theorems
Nonlinear contraction
Partial metric space
Parially ordered set
Quadruple Fixed Point
Description
Summary:[EN] The notion of coupled fixed point was introduced by Guo and Laksmikantham [12]. Later Gnana Bhaskar and Lakshmikantham in [11] investigated the coupled fixed points in the setting of partially ordered set by defining the notion of mixed monotone property. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut [7]. Following this trend, Karapınar[19] defined the quadruple fixed point. In this manuscript, quadruple fixed point is discussed and some new fixed point theorems are obtained on partial metric spaces.