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In this paper, we prove some coincidence point theorems involving $\varphi$-contraction in ordered partial metric spaces. We also extend newly introduced notion of $g$-comparability of a pair of maps for linear contraction in ordered metric spaces to non-linear contraction in ordered partial metric spaces. Thus, our results extend, modify and generalize some recent well known coincidence point theorems of ordered metric spaces.
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참고문헌 (27)
참고문헌 신청
A. Alam / / Comparable linear contractions in ordered metric spaces / Fixed Point Theory
A. Alam / 2014 / Some coincidence theorems for genralized nonlin-ear contractions in ordered metric spaces with applications / Fixed Point Theory Appl 2014 : 30 ~
A. C. M. Ran / 2004 / A fixed point theorem in partially ordered sets and some applications to matrix equations / Proc. Amer. Math. Soc 132 (5) : 1435 ~ 1443
A. Mukherjea / 1977 / Contractions and completely continuous mappings / Nonlinear Anal 1 (3) : 235 ~ 247
Aftab Alam / 2016 / Monotone generalized contractions in ordered metric spaces / 대한수학회보 53 (1) : 61 ~ 81
A. Alam / 2014 / Some coincidence theorems for genralized nonlin-ear contractions in ordered metric spaces with applications / Fixed Point Theory Appl 2014 : 30 ~
A. C. M. Ran / 2004 / A fixed point theorem in partially ordered sets and some applications to matrix equations / Proc. Amer. Math. Soc 132 (5) : 1435 ~ 1443
A. Mukherjea / 1977 / Contractions and completely continuous mappings / Nonlinear Anal 1 (3) : 235 ~ 247
Aftab Alam / 2016 / Monotone generalized contractions in ordered metric spaces / 대한수학회보 53 (1) : 61 ~ 81
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