Document Details Document Type : Thesis  Document Title : Fixed Points For nonexp Ansive Maps In Locally Convex Spaces النقاط الثابتة للتطبيقات غير التمددية في الفضاء المحدب محلياً   Subject : Mathematics  Document Language : Arabic  Abstract : In the setting of metric spaces, Caristi obtained a useful fixed point theorem which extends the well-known Banach Contraction Principle. While, Cain and Nashed extended this classical principle to Hausdorff locally convex spaces. Recently, Cammaroto et al. extended Caristis theorem to the setting of Hausdorff locally convex spaces. In this thesis, we study some known fixed point results for P–contraction and P–nonexpansive self and non-self maps. In particular, we prove some results on the existence of fixed points for singlevalued P–nonexpansive maps, generalizing the corresponding fixed point results of Taylor, Anderson et al. and Su and Sehgal. Moreover, we present some results on best approximation due to Sahney et al. and Singh. Also, we study the existence of fixed points for multivalued P–contraction and P–nonexpansive self and non-self maps due to Su and Sehgal and many others. Finally, applying the Caristis theorem for Hausdorff locally convex spaces, we prove some new results on the existence of fixed points for compact and non-compact valued maps. These results extend the known results in the literature  Supervisor : Dr. Abdul Latif Noor Muhammad  Thesis Type : Master Thesis  Publishing Year : 1428 AH 2007 AD  Added Date : Wednesday, June 11, 2008  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email إحسان حسين أبو الحمائل Abu Alhamail, Ahsan Hussein Researcher Master   Files File Name Type Description  23698.pdf pdf المستخلص  23699.pdf pdf Abstract Back To Researches Page