Abstract
The purpose of this paper is to prove the n fixed point theorems and n best proximity point theorems for generalized contraction in partially ordered metric spaces. We firstly investigate the n fixed point theorems. And on this basis, we obtain the n best proximity point theorems using P-operator technique. Many recent results in this area have been generalized and improved.
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Author Jingling Zhang gratefully acknowledges the financial support from the China Scholarship Council.
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Zhang, J., Agarwal, R.P. & Jiang, N. N fixed point theorems and N best proximity point theorems for generalized contraction in partially ordered metric spaces. J. Fixed Point Theory Appl. 20, 18 (2018). https://doi.org/10.1007/s11784-018-0505-x
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DOI: https://doi.org/10.1007/s11784-018-0505-x