
Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders
Author(s) -
Somayya Komal,
Poom Kumam
Publication year - 2016
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2016.5180
Subject(s) - mathematics , metric space , alpha (finance) , contraction (grammar) , frame (networking) , metric (unit) , type (biology) , combinatorics , discrete mathematics , pure mathematics , computer science , statistics , ecology , operations management , medicine , economics , biology , psychometrics , telecommunications , construct validity
The purpose of this article is to establish the global optimization with partial orders for the pair of non-self mappings, by introducing new type of contractions like $\alpha$-ordered contractions and $\alpha$-ordered proximal contraction in the frame work of complete metric spaces. Also calculates some fixed point theorems with the help of these generalized contractions. In addition, established an example to show the validity of our main result. These results extended and unify many existing results in the literature