Sushanta Kumar Mohanta, Priyanka Biswas, Cyclic contractions and coincidence points via comparison and (w)-comparison functions on partial metric spaces, Vol. 2020 (2020), Article ID 23, pp. 1-19

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DOI: 10.23952/cot.2020.23

Received August 20, 2020; Accepted October 19, 2020; Published December 17, 2020

 

Abstract. In this paper, we use the notion of the cyclic representation of a nonempty set with respect to a pair of mappings to obtain coincidence points and common fixed points of a pair of self mappings satisfying a new type of contraction condition involving comparison functions and (w)-comparison functions in partial metric spaces. We also provide some examples to justify the validity of our main results.

 

How to Cite this Article:
Sushanta Kumar Mohanta, Priyanka Biswas, Cyclic contractions and coincidence points via comparison and (w)-comparison functions on partial metric spaces, Communications in Optimization Theory, Vol. 2020 (2020), Article ID 23, pp. 1-19.