Fixed point results for generalized quasicontraction mappings in abstract metric spaces

Nonlinear Analysis, Theory, Methods and Applications - Tập 71 - Trang 6068-6076 - 2009
H.K. Pathak1, N. Shahzad2
1School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G.), 492010, India
2King Abdul Aziz University, Department of Mathematics, PO Box 80203, 21589 Jeddah, Saudi Arabia

Tài liệu tham khảo

Berinde, 1991, A fixed point theorem of Maia type in K-metric spaces, Semin. Fixed Point Theory (Cluj-Napoca), 3, 7 Collatz, 1966 De Pascale, 1993, The use of the E-metric spaces in the search for fixed points, Le Math., 48, 367 Rus, 2008 Schröder, 1956, Anwendung funktionalanalytischer Methoden zur numerischen Behandlung von Gleichungen, Z. Angew. Math. Mech., 36, 260, 10.1002/zamm.19560360715 Schröder, 1956, Das Iterationverfahren bei allgemeinerem Abstandsbegriff, Math. Z., 66, 111, 10.1007/BF01186599 Schröder, 1956, Nichtlineare Majoranten beim Verfahren der schrittweisen, Arch. Math., 7, 471, 10.1007/BF01899031 Schröder, 1959, Anwendung von Fixpunktsätzen bei der numerischen Behandlung nichtlinearer Gleichungen in halbgeordneten Räumen, Arch. Ration. Mech. Anal., 4, 177, 10.1007/BF00281386 Zabreiko, 1997, K-metric and K-normed linear spaces: Survey, Collect. Math., 48, 825 Zabreiko, 1998, The fixed point theory and the Cauchy problem for partial differential equations, Nonlinear Anal. Appl., 93 Huang, 2007, Cone metric space and fixed point theorems of contractive type mappings, J. Math. Anal. Appl., 332, 1467, 10.1016/j.jmaa.2005.03.087 D. Ilic, V. Rakocevic, Quasi-contraction on cone metric space, Appl. Math. Lett. (2008) (doi:10.1016/j.aml.2008.08.011) Ćirić, 1974, A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc., 45, 267, 10.2307/2040075 Ćirić, 2003 Banach, 1922, Sur les operations dans les ensembles abstraits et leur applications aux equations integrales, Fund. Math., 3, 133, 10.4064/fm-3-1-133-181 Pathak, 2008, Fixed points for generalized contractions and applications to control theory, Nonlinear Anal., 68, 2181, 10.1016/j.na.2007.01.041 Denkowski, 2003 Guo, 1988