مبرهنات النقطة الصامدة ونظام الدوال التكرارية في فضاءاتG المترية
محتوى المقالة الرئيسي
الملخص
في هذا البحث قدمنا مؤثر هجسن_برنسلي (بأختصار,مؤثر H-B) على فضاءات G المترية وتوظيف الجانب النظري لأنشاء مجموعة كسورية كنقطة صامدة وحيدة له وذلك باستخدام نمط من تطبقات سيرك Fالانكماشية المعممة المعرفة على فضاءات G المترية الكاملة. لقد تم توضيح بعض المفاهيم بأمثلة عددية.
تفاصيل المقالة
كيفية الاقتباس
المراجع
B. B. Mandelbrot, The fractal geometry of nature, vol. 173. WH freeman New York, 1983.
Crownover and M. Richard, Introduction to Fractals and Chaos, Jones a Bartlett Publishers London, 1990.
J. E. Hutchinson, Fractals and self similarity. University of Melbourne.[Department of Mathematics], 1979.
M. F. Barnsley, Fractals everywhere. Academic press, 2014.
A. Petrusel, “Fixed point theory with applications to dynamical systems and fractals” in Seminar on fixed Point Theory Cluj-Napoca, Vol. 3, pp. 305–316, 2002.
S. L. Singh, B. Prasad, and A. Kumar, “Fractals via iterated functions and multifunctions,” Chaos, Solitons & Fractals, vol. 39, no. 3, pp. 1224–1231, 2009.
Z. Mustafa, and B., Sims, "A New Approach to Generalized Metric Space", J. of Nonlinear and Convex Analysis Vol. 7, No. 2, pp. 289-297. 2006.
S. S. Abed and H. A. Jabbar, "Coupled points for total weakly contraction mappings in g_m-spaces" International Journal of advanced Scientific Technical Research, vol. 6, No. 3, pp. 64-79, 2016.
S. S. Abed and K. E. A. Sada, “Common fixed points in modular spaces,” Ibn AL-Haitham J. Pure Appl. Sci., pp. 500–509, 2018.
D. Wardowski, “Fixed points of a new type of contractive mappings in complete metric spaces,” Fixed Point Theory Appl., Vol. 2012, No. 1, p. 94, Dec. 2012.
Z. Mustafa, H. Obiedat, and F. Awawdeh, “Some fixed point theorem for mapping on complete G-metric spaces,” Fixed point theory Appl., vol. 2008, no. 1, p. 189870, 2008.
S. S. Abed and A. N. Faraj, “Fixed Points Results in G-Metric Spaces,” Ibn AL-Haitham J. Pure Appl. Sci., vol. 32, no. 1, pp. 139–146, 2019.
D. R. Sahu, A. Chakraborty, and R. P. Dubey, “K-iterated function system,” Fractals, vol. 18, no. 01, pp. 139–144, 2010.
S. S. Abed, “Fixed Point Principles in General b-Metric Spaces and b-Menger Probabilistic spaces,” J. Al-Qadisiyah Comput. Sci. Math., vol. 10, no. 2, p. 42, 2018.
S. S. Abed and H. A. Jabbar, “Coupled points for total weakly contraction mappings via ρ-distance,” Int. J. Basic Appl. Sci., vol. 5, no. 3, p. 164, 2016.
S. S. Abed and A. N. Faraj, "Topological properties of G-Hausdorff metric", International Journal of Applied Mathematics and Statistical Sciences (IJAMSS), Vol.7, No. 5, pp. 1-18, 2018.
A. Kaewcharoen and A. Kaewkhao, “Common fixed points for single-valued and multi-valued mappings in G-metric spaces,” Int. J. Math. Anal, vol. 5, no. 36, pp. 1775–1790, 2011.
T. Phaneendra and K. K. Swamy, “Unique fixed point in G-metric space through greatest lower bound properties,” Novi Sad J. Math, vol. 43, no. 2, pp. 107–115, 2013.
R. Uthayakumar and G. A. Prabakar, “An iterated function system for Reich contraction in complete b metric space,” World Acad. Sci. Eng. Technol. Int. J. Math. Comput. Phys. Electr. Comput. Eng., vol. 7, no. 11, pp. 1640–1643, 2014.