A Note on Various Classes of Compatible-Type Pairs of Mappings and Common Fixed Point Theorems | Zendy

Zoran Kadelburg | Zendy; Stojan Radenović | Zendy; Naseer Shahzad | Zendy

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A Note on Various Classes of Compatible-Type Pairs of Mappings and Common Fixed Point Theorems

Author(s) -

Zoran Kadelburg,

Stojan Radenović,

Naseer Shahzad

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/697151

Subject(s) - mathematics , coincidence point , type (biology) , fixed point , coincidence , point (geometry) , order (exchange) , fixed point theorem , pure mathematics , discrete mathematics , mathematical analysis , geometry , medicine , ecology , alternative medicine , finance , pathology , economics , biology

Several authors have introduced various conditions which can be used in order to prove common fixed point results. However, it became clear recently that some of these conditions, though formally distinct from each other, actually coincide in the case when the given mappings have a unique point of coincidence. Hence, in fact, new common fixed point results cannot be obtained in this way. We make a review of such connections and results in this paper

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