برخی قضایای نقطه ثابت مشترک در فضاهای P-متری مرتب جزیی
الموضوعات :
حسن حسین زاده
1
(گروه ریاضی، واحد اردبیل، دانشگاه آزاد اسلامی ، اردبیل، ایران)
وحید پروانه
2
(گروه ریاضی، واحد گیلان -غرب، دانشگاه آزاد اسلامی، گیلان - غرب، ایران)
الکلمات المفتاحية: extended metric space, partially ordered metric space, $p$-metric space, fixed point,
ملخص المقالة :
یک فضای پی-متری تعمیمی جدید و جذاب از یک فضای بی- متری است. تعمیم اصل انقباض باناخ مشهور، توسط نویسندگان زیادی انجام شده است. تعمیمها روی توسیع فضاهای متری و توسیع شرایط انقباضی متمرکزند. متر جزیی، شبه متر، جی-متری، دو متری و متر برنسیاری چند مثال از مترهای ارایه شده در این زمینه اند. هدف از انجام این تحقیق ارائه چندین قضیه نقطه ثابت مشترک برای دو نگاشت (که یکی از آن‌ها صعودی ایزوتون ضعیف نسبت به دیگری است) در چارچوب فضاهای متری مرتب می‌باشد. نتایج به‌دست آمده تعمیم نتایج موجود در منابع{H. K. Nashine, B. Samet and C. Vetro, Math. Comput. Modelling, 54(2011) 712720}و{J.R. Roshana, V. Parvaneh and Z. Kadelburg, J. Nonlinear Sci.Appl, 7 (2014), 229-245}می‌باشد. یک مثال نابدیهی نیز برای تایید نتایج به‌دست آمده ارائه می‌شود.
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