A generalization of Banach's contraction principle for some non-obviously contractive operators in a cone metric space

Authors

YINGXIN GUO

Abstract

This paper investigates the fixed points for self-maps of a closed set in a space of abstract continuous functions. Our main results essentially extend and generalize some fixed point theorems in cone metric spaces. An application to differential equations is given.

DOI

10.3906/mat-1005-267

Keywords

Cone metric space, fixed point, Ordered Banach space, self-maps of a closed set, iterative sequence

First Page

297

Last Page

304

Recommended Citation

GUO, Y (2012). A generalization of Banach's contraction principle for some non-obviously contractive operators in a cone metric space. Turkish Journal of Mathematics 36 (2): 297-304. https://doi.org/10.3906/mat-1005-267