Open AccessCoupled fixed point results for nonlinear integral equations
Author(s) -
Wutiphol Sintunavarat,
Poom Kumam
Publication year - 2013
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.03.006
Subject(s) - mathematics , fixed point theorem , coincidence point , nonlinear system , contraction (grammar) , monotone polygon , monotonic function , commutative property , coincidence , fixed point , metric space , property (philosophy) , pure mathematics , mathematical analysis , discrete mathematics , geometry , medicine , physics , alternative medicine , pathology , quantum mechanics , philosophy , epistemology
In this paper, we prove some coupled coincidence point theorems for such nonlinear contraction mappings having a mixed monotone property in partially ordered metric spaces by dropping the condition of commutative. We also prove coupled common fixed point theorem for w-compatible mappings. An example of a nonlinear contraction mapping which is not applied by Lakshmikantham and Ćirić’s theorem [1] but applied by our result is given. Further, we apply our results to the existence theorem for solution of nonlinear integral equations