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Coincidence points an best proximity pair results for R-subweakly commuting multimaps

O'Regan D., Shahzad N.

Demonstratio Mathematica

2006

Vol. 39, nr 4

845-854

Some coincidence point theorems for R-subweakly commuting mappings satisfying a general contractive condition are proved. As applications, some best proximity pair results are also obtained and several related results in the literature are extended to a new class of noncommuting mappings.

Coincidence point for noncompatible multivalued maps satisfying implicit relation

Kubiaczyk I., Deshpande B.

Demonstratio Mathematica

2006

Vol. 39, nr 4

855-862

In this paper we prove a common coincidence point theorem for single- valued and multivalued mappings satisfying an implicit relation under the condition of R-weak commutativity on metric spaces.