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

SATISH  SHUKLA

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

Authors

SATISH 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.