Open AccessSOME FIXED POINT THEOREMS FOR SET-VALUED (a, p)-WEAK CONTRACTIONS IN CONE METRIC SPACES OVER BANACH ALGEBRA
Author(s) -
Sumit Malhotra,
Sarita Prakash,
Satish Shukla
Publication year - 2019
Publication title -
advances in mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2664-598X
DOI - 10.37516/adv.math.sci.2019.0067
Subject(s) - mathematics , metric space , fixed point theorem , cone (formal languages) , fixed point , banach space , pure mathematics , fixed point property , discrete mathematics , set (abstract data type) , point (geometry) , algebra over a field , mathematical analysis , computer science , algorithm , geometry , programming language
The purpose of this paper is to introduce the notion of set-valued (, )- weak contractions in cone metric spaces over Banach algebra and to prove some fixed point theorems for such mappings. The fixed point results of this paper generalize and extend several known fixed point results on cone metric spaces. An example in support of our results is given.