SET-VALUED PRE\V{S}I\'{C}-REICH TYPE CONTRACTIONS IN CONE METRIC SPACES AND FIXED POINT THEOREMS

S. Shukla

SET-VALUED PRE\V{S}I\'{C}-REICH TYPE CONTRACTIONS IN CONE METRIC SPACES AND FIXED POINT THEOREMS

Authors

S. Shukla Department of Applied Mathematics, Shri Vaishnav Institute of Technology & Science, Gram Baroli, Sanwer Road, Indore, 453331, (M.P.) India

Keywords:

Preˇsić-Reich type, Point-set-cone metric, Cone metric space, Fixed point

Abstract

The purpose of this paper is to prove some fixed point theorems for set-valued mappings satisfying Pre\v{s}i\'{c}-Reich type contractive condition in cone metric spaces, without assuming the normality of cone. Our results generalize some known results in metric and cone metric spaces.

Additional Files

Pages 103-114

Published

11/28/2016

How to Cite

Shukla, S. (2016). SET-VALUED PRE\V{S}I\’{C}-REICH TYPE CONTRACTIONS IN CONE METRIC SPACES AND FIXED POINT THEOREMS. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 6(2), 103–114. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2784