New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions. (18th May 2015)

• Record Type: Journal Article
• Authors: Kutbi, M. A.; Hussain, N.; Khaleghizadeh, S.
• Other Names: Vetro Calogero Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-05-18
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/136306
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We introduce new concepts of anα c - GF -contractive nonself-mapping, a weakα c - GF -contractive nonself-mapping, a generalizedα 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.