ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 11 (2016), 157 -- 167
This work is licensed under a Creative Commons Attribution 4.0 International License.
A GENERAL UNIQUE COMMON FIXED POINT THEOREM FOR HYBRID PAIRS OF MAPPINGS IN METRIC SPACES
Valeriu Popa and Alina-Mihaela Patriciu
Abstract. The purpose of this paper is to prove a general unique common fixed point theorem for two pairs of mappings using Hausdorff - Pompeiu metric, which generalizes, in a correct form, the results from [8] and extends Theorem 2.4 [9], for occasionally (f,F) - weakly commuting mappings.
2010 Mathematics Subject Classification: 54H25; 47H10
Keywords: Fixed point; hybrid pairs; occasionally commuting; implicit relation.
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Valeriu Popa
"Vasile Alecsandri" University of Bacău,
157 Calea Mărăşeşti, Bacău, 600115, Romania,
e-mail: vpopa@ub.ro
Alina-Mihaela Patriciu
"Dunărea de Jos" University of Galaţi,
Faculty of Sciences and Environment, Department of Mathematics and Computer Sciences,
111 Domnească Street, Galaţi, 800201, Romania,
e-mail: Alina.Patriciu@ugal.ro