TY - JOUR
AU - Choudhury, B. S.
AU - Kundu, A.
PY - 2012/10/20
Y2 - 2021/11/28
TI - FIXED POINT THEOREMS FOR NONLINEAR CONTRACTIONS IN ORDERED PARTIAL METRIC SPACES
JF - Journal of Nonlinear Analysis and Optimization: Theory & Applications
JA - J. Nonlinear Anal. Optim.
VL - 4
IS - 1
SE -
DO -
UR - http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/187
SP - 147-158
AB - <p>In this paper we develope the weak contraction mapping principle in the context of partial metric spaces which are generalizations of metric spaces meant for the study of denotational semantics of programming languages. We consider certain control conditions for this purpose and accomplish the task in partial metric spaces. Additionally, a partial order is defined on this space. An illustrative example is given. The method we use in this paper is a combination of analytic and order theoretic methodologies.</p>
ER -