The Banach Type Contraction for Mappings on Algebraic Cone Metric Spaces Associated with An Algebraic Distance and Endowed with a Graph

Author(s):

K. Fallahi* , Gh. Soleimani Rad

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this work, we define the notion of an algebraic distance in algebraic cone metric spaces defined by Niknam et al. [A. Niknam, S. Shamsi Gamchi and M. Janfada, Some results on TVS-cone normed spaces and algebraic cone metric spaces, Iranian J. Math. Sci. Infor. 9 (1) (2014), 71--80] and introduce some its elementary properties. Then we prove the existence and uniqueness of fixed point for a Banach contractive type mapping in algebraic cone metric spaces associated with an algebraic distance and endowed with a graph.

Keywords:

Algebraic cone metric space , Algebraic distance , Banach contraction , Orbitally G-continuous mapping

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:15 Issue: 1, May 2020
Pages:
41 to 52
https://www.magiran.com/p2127009