Document Details Document Type : Article In Journal  Document Title : Multivalued generalized nonlinear contractive maps and fixed points Multivalued generalized nonlinear contractive maps and fixed points   Subject : Mathematics  Document Language : English  Abstract : We introduce some notions of generalized nonlinear contractive maps and prove some fixed point results for such maps. Consequently, several known fixed point results are either improved or generalized including the corresponding recent fixed point results of Ciric [L.B. Ciric, Multivalued nonlinear contraction mappings, Nonlinear Anal. 71 (2009) 27162723], Klim and Wardowski [D. Klim, D. Wardowski, Fixed point theorems for set-valued contractions in complete metric spaces, J. Math. Anal. Appl. 334 (2007) 132139], Feng and Liu [Y. Feng, S. Liu, Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings, J. Math. Anal. Appl. 317 (2006) 103112] and Mizoguchi and Takahashi [N. Mizoguchi, W. Takahashi, Fixed point theorems for multivalued mappings on complete metric spaces, J. Math. Anal. Appl. 141 (1989) 177188].  ISSN : 0362-546X  Journal Name : Nonlinear Analysis, Theory, Methods and Applications  Volume : 74  Issue Number : 4  Publishing Year : 1432 AH 2011 AD  Article Type : Article  Added Date : Tuesday, June 12, 2012  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email عبداللطيف نور محمد Muhammad, Abdul Latif Noor Researcher Doctorate alatif@kau.edu.sa A A N Abdou Abdou, A A N Researcher Doctorate aabdou@kau.edu.sa Files File Name Type Description  33589.pdf pdf Abstract Back To Researches Page