New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions

We introduce new concepts of an αc -gf-contractive nonself-mapping,a weak αc -gf-contractive nonself-mapping,a generalized αc -gf-contractive nonself-mapping,and suzuki type gf-contractions and establish the existence of ppf dependent fixed point theorems for such kind of contractive nonself-mappings in the razumikhin class. as applications of our results,we derive some ppf dependent fixed point theorems for gf-contractive nonself-mappings whenever the range space is endowed with a graph or a partial order. the obtained results generalize,extend,and modify some ppf dependent fixed point results in the literature. copyright © 2015 m. a. kutbi et al.