Open AccessApplications of Fixed Point Theory in Integral Equations and Homotopy Using Partially Ordered S_b Metric Spaces
Author(s) -
Daripally Ram Prasad,
G.N.V. Kishore,
Puja Kumari
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i3.3.14509
Subject(s) - mathematics , metric space , homotopy , fixed point theorem , homotopy analysis method , n connected , metric (unit) , fixed point , type (biology) , pure mathematics , point (geometry) , space (punctuation) , integral equation , mathematical analysis , computer science , geometry , ecology , operations management , economics , biology , operating system
In this paper we give some applications to integral equations as well as homotopy theory via Suzuki type fixed point theorems in partially ordered complete - metric space by using generalized contractive conditions. We also furnish an example which supports our main result.