Journal of the
Korean Mathematical Society
JKMS
Article
ALL ARTICLES
View
J. Korean Math. Soc. 2008; 45(6): 1725-1740
Printed November 1, 2008
Copyright © The Korean Mathematical Society.
Fixed points of weakly inward 1-set-contraction mappings
Huagui Duan, Shaoyuan Xu, and Guozhen Li
Nankai University,Hubei Normal University, and Jiangxi Normal University
In this paper, we introduce a fixed point index of weakly inward 1-set-contraction mappings. With the aid of the new index, we obtain some new fixed point theorems, nonzero fixed point theorems and multiple positive fixed points for this class of mappings. As an application of nonzero fixed point theorems, we discuss an eigenvalue problem.
Keywords: fixed point index, weakly inward 1-set-contraction mapping, fixed point
MSC numbers: 28A78, 28A80
Article Tools
Stats or Metrics
Share this article on :
Related articles in JKMS
-
Improved convergence of Steffensen's method for approximating fixed points of operators in Banach space
2017; 54(1): 17-33
-
Weak convergence theorems for generalized mixed equilibrium problems, monotone mappings and pseudocontractive mappings
2015; 52(6): 1179-1194
-
Some fixed point theorems in generalized Darbo fixed point theorem and the existence of solutions for system of integral equations
2015; 52(1): 125-139
-
Multivariate coupled fixed point theorems on ordered partial metric spaces
2014; 51(6): 1189-1207
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd