Document Details

Document Type : Thesis 
Document Title :
Fixed Point Results for Contractive Mappings in C^*-valued Distance Spaces
نتائج النقطة الثابتة للرواسم الانكماشية في فراغات المسافات المقدرة C^*
 
Subject : Faculty of Sciences 
Document Language : Arabic 
Abstract : In the last decades many researchers in nonlinear analysis worked with cone metric spaces, cone metric spaces over Banach algebras, C^*-algebra-valued b-metric spaces and others. In 2014, Ma et al introduced new space called C^*-algebra-valued metric space, replacing the set of real numbers by C^*-algebra, and establish certain fixed point theorem for self-maps with contractive or expansive conditions on such spaces. Very recently, Liu and Xu have considered cone metric spaces where the underlying cone is contained in a real unital Banach algebra. In this thesis we aim to establish fixed point, common fixed point and coupled coincidence point theorems for different contraction maps in the setting of C^*-algebra and Banach algebra valued b-metric space and cone b-metric spaces which improve and generalize many known results in the literature. The outcome of this thesis is the following paper “Fixed points of α-admissible mappings in cone b-metric spaces over Banach algebra”, which was accepted to publish in Journal of Mathematical Analysis. 
Supervisor : Prof. Dr. Nawab Hussain Abdullah 
Thesis Type : Master Thesis 
Publishing Year : 1438 AH
2017 AD 
Co-Supervisor : Prof. Dr. Marwan Amin Kutbi 
Added Date : Thursday, June 8, 2017 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
أشواق مصلي السلميAlsolami, Ashwaq MosliResearcherMaster 

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