|
|||||
|
|
Fixed point theory for generalized contractions in cone metric spaces |
|
| Authors: | AP Farajzadeh A Amini-Harandi D Baleanu |
| Institution: | a Department of Mathematics, Razi University, Kermanshah 67149, Iran b School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran c Department of Mathematics, University of Shahrekord, Shahrekord 88186-34141, Iran d Cankaya University, Department of Mathematics and Computer Sciences, Faculty of Arts And Sciences, 06530 Ankara, Turkey e Institute of Space Sciences, P.O. Box MG-23, R 76900 Magurele-Bucharest, Romania |
| Abstract: | In this paper, we prove some fixed point theorems for generalized contractions in cone metric spaces. Our theorems extend some results of Suzuki (2008) T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc Amer Math Soc 136(5) (2008), 1861-1869] and Kikkawa and Suzuki (2008) M. Kikkawa and T. Suzuki, Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal 69(9) (2008), 2942-2949]. |
| Keywords: | Fixed point Cone metric space Hausdorff metric Set-valued maps |
| 本文献已被 ScienceDirect 等数据库收录！ | |