Fixed point results of some nonlinear maps with applications

dc.contributor.authorAbdul-Aziz Mustafa Domlo
dc.date2006
dc.date.accessioned2022-05-18T04:03:24Z
dc.date.available2022-05-18T04:03:24Z
dc.degree.departmentCollege of Sciences
dc.degree.grantorKing Fahad for Petrolem University
dc.description.abstractﻓﻲ 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.other4286
dc.identifier.urihttps://drepo.sdl.edu.sa/handle/20.500.14154/566
dc.language.isoen
dc.publisherSaudi Digital Library
dc.thesis.levelDoctoral
dc.thesis.sourceKing Fahad for Petrolem University
dc.titleFixed point results of some nonlinear maps with applications
dc.typeThesis

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