مشخصات پژوهش

صفحه نخست /Some Results of Fixed Points ...
عنوان Some Results of Fixed Points in Generalized Metric Space by Methods of Suzuki and Samet
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها Generalized D ∗ -metric space, fixed point,weak compatible.
چکیده In 1992 Dhage introduced the notion of generalized metric or D-metric spaces and claimed that D-metric convergence define a Hausdorff topology and that D-metric is sequentially continuous in all the three variables. Many authors have taken these claims for granted and used them in proving fixed point theorems in D-metric spaces. In 1996 Rhoades generalized Dhages contractive condition by increasing the number of factors and proved the existence of unique fixed point of a self map in D-metric space. Recently motivated by the concept of compatibility for metric space. In 2002 Sing and Sharma introduced the concept of D-compatibility of maps in D-metric space and proved some fixed point theorems using a contractive condition. In this paper ,we prove some fixed point theorems and common fixed point theorems in D ∗ -complete metric spaces under particular conditions among weak compatibility. Also by Using method of Suzuki and Samet we prove some theorems in generalised metric spaces.
پژوهشگران حجت افشاری (نفر اول)، هاجر شرقی (نفر دوم)