FIXED POINTS OF MULTI-VALUED * A -MAPPINGS IN CONE METRIC SPACE

M. Akram

doi:10.57041/vol66iss1pp%p

FIXED POINTS OF MULTI-VALUED * A -MAPPINGS IN CONE METRIC SPACE

Authors

M. Akram Department of Mathematics GC University, Katchery Road Lahore 54000, Pakistan

DOI:

https://doi.org/10.57041/vol66iss1pp%25p

Keywords:

Cone metric, Fixed points, self-maps, Multi-valued mappings, *A-mappings

Abstract

Cone metricIn this paper, we extend the idea of
* A -mappings from metric spaces to cone metric
spaces. Further, we prove some fixed point theorems for multi-valued mapping using
* A -contractions
in cone metric space setup. Our results generalizes andimproves some results in the existing literature
from metric spacessetup to cone metric spaces setup. Furthermore, some fixed point theorems in cone
metics spaces are also improved.