We introduce the concept of triangular $alpha_c$-admissible mappings (pair of mappings) with respect to $η_c$ nonself-mappings and establish the existence of PPF dependent fixed (coincidence) point theorems for contraction mappings involving triangular $alpha_c$-admissible mappings (pair of mappings) with respect to $η_c$ nonself-mappings in Razumikhin class. Several interesting consequences of our theorems are also given.
Ćirić, L., Alsulami, S.M., Salimi, P., Vetro, P. (2014). PPF dependent fixed point results for triangular $alpha_c$-admissible mappings. THE SCIENTIFIC WORLD JOURNAL, 2014 [10.1155/2014/673647].
PPF dependent fixed point results for triangular $alpha_c$-admissible mappings
VETRO, Pasquale
2014-01-01
Abstract
We introduce the concept of triangular $alpha_c$-admissible mappings (pair of mappings) with respect to $η_c$ nonself-mappings and establish the existence of PPF dependent fixed (coincidence) point theorems for contraction mappings involving triangular $alpha_c$-admissible mappings (pair of mappings) with respect to $η_c$ nonself-mappings in Razumikhin class. Several interesting consequences of our theorems are also given.
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