Article
MSC:
37C25,
41A50,
46A19,
46T99,
47H10,
54H25 | MR 3231095 | Zbl 06260041 | DOI: 10.21136/MB.2013.143513
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Keywords:
common fixed point; rational type contraction mapping; compatible mapping; weakly compatible mapping; ordered metric space
common fixed point; rational type contraction mapping; compatible mapping; weakly compatible mapping; ordered metric space
Summary:
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).
References:
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