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

作者：Kutbi M A; Hussain N^*; Khaleghizadeh S

来源：Journal of Function Spaces, 2015, 2015: UNSP 136306.

DOI：10.1155/2015/136306

We introduce new concepts of an alpha(c)-GF-contractive nonself-mapping, a weak alpha(c)-GF-contractive nonself-mapping, a generalized alpha(c)-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.

• 出版日期2015