Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions. (31st July 2016)

• Record Type: Journal Article
• Authors: Hussain, Nawab; Ahmad, Jamshaid; Kutbi, Marwan Amin
• Other Names: Petrusel Adrian Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-07-31
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/6514920
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Remarkable feature of contractions is associated with the concept Mizoguchi-Takahashi function. For the purpose of extension and modification of classical ideas related with Mizoguchi-Takahashi contraction, we define generalized Mizoguchi-Takahashi G -contractions and establish some generalized fixed point theorems regarding these contractions in this paper. Some applications to the construction of a fixed point of multivalued mappings in ε -chainable metric space are also discussed.