Open AccessOn a Fixed Point Theorem with Application to Integral Equations
Author(s) -
Muhammad Nazam,
Muhammad Arshad
Publication year - 2016
Publication title -
international journal of analysis
Language(s) - English
Resource type - Journals
eISSN - 2314-4998
pISSN - 2314-498X
DOI - 10.1155/2016/9843207
Subject(s) - mathematics , fixed point theorem , fixed point , integral equation , schauder fixed point theorem , type (biology) , kakutani fixed point theorem , pure mathematics , fixed point property , discrete mathematics , brouwer fixed point theorem , mathematical analysis , ecology , biology
We introduce the notion of dualistic Geraghty’s type contractions. We prove some fixed point theorems for ordered mappings satisfying the abovementioned contractions. We discuss an application of our fixed point results to show the existence of solution of integral equations
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