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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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Using the concept of a g-monotone mapping we prove some common fixed point theorems for g-non-decreasing mappings which satisfy some generalized nonlinear contractions in partially ordered complete quasi b-metric spaces. The new theorems are generalizations of very recent fixed point theorems due to L. Ciric, N. Cakic, M. Rojovic, and J. S. Ume, [Monotone generalized nonlinear contractions in partailly ordered metric spaces, Fixed Point Theory Appl. (2008), article, ID-131294] and R. P. Agarwal, M. A. El-Gebeily, and D. O'Regan [Generalized contractions in partially ordered metric spaces, Appl. Anal. 87 (2008), 1-8].
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참고문헌 (15)
참고문헌 신청
A. C. M. Ran / 2004 / A xed point theorem in partially ordered sets and some applications to matrix equations / Proc. Amer. Math. Soc 132 (5) : 1435 ~ 1443
D. W. Boyd / 1969 / On nonlinear contractions / Proc. Amer. Math. Soc 20 : 458 ~ 464
J. J. Nieto / 2005 / Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations / Order 22 (3) : 223 ~ 239
J. J. Nieto / 2007 / Existence and uniqueness of xed point in partially ordered sets and applications to ordinary differential equations / Acta Math. Sin 23 (12) : 2205 ~ 22
J. J. Nieto / 2007 / Fixed point theorems in ordered abstract spaces / Proc. Amer. Math. Soc 135 (8) : 2505 ~ 2517
D. W. Boyd / 1969 / On nonlinear contractions / Proc. Amer. Math. Soc 20 : 458 ~ 464
J. J. Nieto / 2005 / Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations / Order 22 (3) : 223 ~ 239
J. J. Nieto / 2007 / Existence and uniqueness of xed point in partially ordered sets and applications to ordinary differential equations / Acta Math. Sin 23 (12) : 2205 ~ 22
J. J. Nieto / 2007 / Fixed point theorems in ordered abstract spaces / Proc. Amer. Math. Soc 135 (8) : 2505 ~ 2517
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