Geodesic
Some common fixed point results for rational type contraction mappings in partially ordered metric spaces
Mathematica Bohemica, Tome 138 (2013) no. 4, pp. 407-413

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The purpose of this paper is to establish some common fixed point results for $f$-nondecreasing mappings which satisfy some nonlinear contractions of rational type in the framework of metric spaces endowed with a partial order. Also, as a consequence, a result of integral type for such class of mappings is obtained. The proved results generalize and extend some of the results of J. Harjani, B. Lopez, K. Sadarangani (2010) and D. S. Jaggi (1977).
The purpose of this paper is to establish some common fixed point results for $f$-nondecreasing mappings which satisfy some nonlinear contractions of rational type in the framework of metric spaces endowed with a partial order. Also, as a consequence, a result of integral type for such class of mappings is obtained. The proved results generalize and extend some of the results of J. Harjani, B. Lopez, K. Sadarangani (2010) and D. S. Jaggi (1977).
DOI : 10.21136/MB.2013.143513
Classification : 37C25, 41A50, 46A19, 46T99, 47H10, 54H25
Keywords: common fixed point; rational type contraction mapping; compatible mapping; weakly compatible mapping; ordered metric space 
Chandok, Sumit. Some common fixed point results for rational type contraction mappings in partially ordered metric spaces. Mathematica Bohemica, Tome 138 (2013) no. 4, pp. 407-413. doi: 10.21136/MB.2013.143513
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