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In this paper, we prove some existence and uniqueness results on coincidence points for $g$-monotone mappings satisfying linear as well as generalized nonlinear contractivity conditions in ordered metric spaces. Our results generalize and extend two classical and well known results due to Ran and Reurings (Proc. Amer. Math. Soc. {\bf 132} (2004), no. 5, 1435--1443) and Nieto and Rodr\'{\i}guez-L\'{o}pez (Acta Math. Sin. {\bf 23} (2007), no. 12, 2205--2212) besides similar other ones. Finally, as an application of one of our newly proved results, we establish the existence and uniqueness of solution of a first order periodic boundary value problem.
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참고문헌 (41)
참고문헌 신청
R. P. Agarwal / 2008 / Generalized contractions in partially ordered metric spaces / Appl. Anal 87(1):109~116
A. Alam / 2014 / Some coincidence theorems for generalized non-linear contractions in ordered metric spaces with applications / Fixed Point Theory Appl 216:30
I. Altun / 2010 / Some fixed point theorems on ordered metric spaces and appli-cation / Fixed Point Theory Appl 62:17
H. Amann / 1977 / Order structures and fixed points, Bochum: Mimeographed lecture notes / Mimeographed lecture notes, Ruhr-Universitat
A. Amini-Harandi / 2010 / A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations / Nonlinear Anal 72(5):2238~2242
A. Alam / 2014 / Some coincidence theorems for generalized non-linear contractions in ordered metric spaces with applications / Fixed Point Theory Appl 216:30
I. Altun / 2010 / Some fixed point theorems on ordered metric spaces and appli-cation / Fixed Point Theory Appl 62:17
H. Amann / 1977 / Order structures and fixed points, Bochum: Mimeographed lecture notes / Mimeographed lecture notes, Ruhr-Universitat
A. Amini-Harandi / 2010 / A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations / Nonlinear Anal 72(5):2238~2242
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