Fixed point results of some nonlinear maps with applications
dc.contributor.author | Abdul-Aziz Mustafa Domlo | |
dc.date | 2006 | |
dc.date.accessioned | 2022-05-18T04:03:24Z | |
dc.date.available | 2022-05-18T04:03:24Z | |
dc.degree.department | College of Sciences | |
dc.degree.grantor | King Fahad for Petrolem University | |
dc.description.abstract | ﻓﻲ ﻫﺫﻩ ﺍﻟﺭﺴﺎﻟﺔ ﺃﺜﺒﺘﻨﺎ ﻨﻅﺭﻴﺎﺕ ﺠﺩﻴﺩﺓ ﺤﻭل ﺍﻟﻨﻘﻁﺔ ﺍﻟﻤﺘﻁﺎﺒﻘﺔ ﻭﺍﻟﻨﻘﻁﺔ ﺍﻷ ﺍﻟﺜﺎﺒﺘﺔ ﺍﻟﻤﺸﺘﺭﻜﺔ ﻟﻠﺭﻭﺍﺴﻡ ﺤﺎﺩﻴﺔ ﺍﻟﻘﻴﻤﺔ ﻭﺍﻟﻤﺘﻌﺩﺩﺓ ﺍﻟﻘﻴﻤﺔ )ﻤﺘﺼﻠﺔ ﻭﺍﻟﺘﻲ ﻟﻴﺴﺕ ﺒﺎﻟﻀﺭﻭﺭﺓ ( ﻭﺫﻟﻙ ﺒﺎﺴﺘﺨﺩﺍﻡ ﺸﺭﻭﻁ ﺘﻘﻠﺹ ﺃﻭ ﺸﺭﻭﻁ ﻤﻥ ﻨﻭﻉ "ﻟﻴﺒﺸﺘﺯ " ﻓﻲ ﺍﻟﻔﻀﺎﺀﺍﺕ ﺍﻟﻤﺘﺭﻴﺔ ﻭﻤﻥ ﺜﻡ ﺇﻋﻁﺎﺀ ﺘﻁﺒﻴﻘﺎﺕ ﻋﻠﻰ ﻫﺫﻩ ﺍﻟﻨﺘﺎﺌﺞ ﻓﻲ ﻨﻅﺭﻴﺔ ﺍﻟﺘﻘﺭﻴﺏ ﻭﻤﺴﺎﺌل ﺍﻟﻘﻴﻤﺔ ﺍﻟﻤﻤﻴﺯﺓ "ﺁﻴﺠﻥ . "ﺒﺎﺴﺘﻨﺒﺎ ﻜﻤﺎ ﻗﻤﻨﺎ ﻤ ﻁ ﺨ ﻋ ﻁﻁ ﺘﻜﺭﺍﺭﻱ ﻋﺎﻡ ﻷﻱ ﺍﻟﻼ ﺎﺌﻠﺔ ﻤﻨﺘﻬﻴﺔ ﻤﻥ ﺍﻟﺭﻭﺍﺴﻡ ﺸﺒﻪ ﻤﺘﻤﺩﺩﺓ ﺍﻟﺘﻘﺎﺭﺒﻴﺔ ﻓﻲ ﻓﻀ ﺎﺀﺍﺕ"ﺒﺎﻨﺎﺥ"ﻫﺫﺍ ﺜﻡ ﺩﺭﺴﻨﺎ ﺘﻘﺎﺭﺏ ، ﺍﻟﻤﺨﻁﻁ ﺍﻟﺘﻜﺭﺍﺭﻱ ﺇﻟﻰ ﻨﻘﻁﺔ ﺜﺎﺒﺘﺔ ﻤﺸﺘﺭﻜﺔ ﻟﻬﺫﻩ ﺍﻟﻌﺎﺌﻠﺔ ﻤﻥ ﺍﻟﺭﻭﺍﺴﻡ .ﺍﻟﻌ ﺃﻴﻀﹰﺎ ﻗﺩﻤﻨﺎ ﻨﺘﺎﺌﺞ ﻤﻨﺎﻅﺭﺓ ﻟﻠﻨﺘﺎﺌﺞ ﺍﻟﺘﻲ ﺤﺼﻠﻨﺎ ﻋﻠﻴﻬﺎ ﻭﺫﻟﻙ ﻓﻲ ﺍﻟﺤﺎﻟﺔ ﺸﻭﺍﺌﻴﺔ . ﻜﻤﺎ ﺃﺜﺒﺘﻨﺎ ﻭﺠﻭﺩ ﻨﻘﻁﺔ ﺜﺎﺒﺘﺔ ﻋﺸﻭﺍﺌﻴﺔ ﻟﻠﺭﻭﺍﺴﻡ ﺍﻟﻌﺸﻭﺍﺌﻴﺔ ﺍﻟﺩﺍﺨﻠﻴﺔ ﻤﺘﻌﺩﺩﺓ ﺍﻟﻘﻴﻤﺔ ﻓﻲ ﻓﻀﺎﺀﺍﺕ "ﺒﺎﻨﺎﺥ "ﻟﻠﻔﺼل ﺍﻟﻘﺎﺒﻠﺔ ﻭﺍﻟﺘﻲ ﻟﻬﺎ ﻤﻤﻴﺯ ﻋﺩﻡ ﺇﻨﺩﻤﺎﺝ ﻭﺘﺤﺩﺏ ﺍﻟﻭﺍﺤﺩ ﺃﻗل ﻤﻥ . | |
dc.identifier.other | 4286 | |
dc.identifier.uri | https://drepo.sdl.edu.sa/handle/20.500.14154/566 | |
dc.language.iso | en | |
dc.publisher | Saudi Digital Library | |
dc.thesis.level | Doctoral | |
dc.thesis.source | King Fahad for Petrolem University | |
dc.title | Fixed point results of some nonlinear maps with applications | |
dc.type | Thesis |