| A New Distinct Solution to the Open Problem of Rhoades on w-Distance |
| کد مقاله : 1023-SHAA |
| نویسندگان: |
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محبوبه ذاکری *1، عباس سهله1، حسین لکزیان2 1گروه ریاضی، دانشکده علوم ریاضی، دانشگاه گیلان، شهر رشت، کشور ایران 2دانشکده ریاضی، دانشگاه پیام نور، شهر تهران، کشور ایران |
| چکیده مقاله: |
| The main purpose of this paper is to develope the notion of convex contraction mappings to weak convex contraction mapping of order m (m 2), and prove that the class of weak convex contraction of order m is strong enough to generate a xed point on a complete metric space with a w-distance without condition of continuity at the xed point, and it can be replaced by relatively weaker conditions of k-continuity or S-orbitally lower semi-continuous. Using these concepts, we establish the new xed point theorem on a complete metric space with a w-distance. It extends some previous xed point theorems in this eld to convex contractions and more general convex contractive conditions in the setting of w-distances. Keywords: Fixed point, w-distance, generalized contraction, k-continuous mapping. |
| کلیدواژه ها: |
| Fixed point, w-distance, generalized contraction, k-continuous mapping. |
| وضعیت : مقاله برای ارائه شفاهی پذیرفته شده است |