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PPF dependent fixed point results for triangular αc-admissible mappings.

Research paper by Ljubomir L Cirić, Saud M SM Alsulami, Peyman P Salimi, Pasquale P Vetro

Indexed on: 29 Mar '14Published on: 29 Mar '14Published in: TheScientificWorldJournal



Abstract

We introduce the concept of triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings and establish the existence of PPF dependent fixed (coincidence) point theorems for contraction mappings involving triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings in Razumikhin class. Several interesting consequences of our theorems are also given.