RESOLVING SYSTEMS OF NONLINEAR INTEGRAL EQUATIONS VIA C-CLASS FUNCTIONS
Authors
Ljiljana Paunović
Teacher Education Faculty in Prizren-Leposavić, University of Priština, Leposavić, Serbia
Keywords
b-metric spaces, compatible mappings, P-increasing, integral equation, C-class functions
Abstract
Fixed point theorems for monotone operators in ordered metric spaces are widely investigated and have found various applications in differential and integral equations (Nieto & Rodríguez-Lόpez, 2005), (Nieto & Rodríguez-Lόpez, 2007), (Wu, 2008). Motivated by the work in (Agarwal et al., 2012) and (Luong & Thuan, 2011) we study the existence of solutions for a system of nonlinear integral equations in ordered b-metric spaces using the results given in this paper.
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