A New Approach to the Study of Fixed Point Theorems with w-Distances via R-Functions. (1st November 2016)

• Record Type: Journal Article
• Authors: Zarinfar, Farzad; Khojasteh, Farshid; Vaezpour, Seyyed Mansour
• Other Names: Vetro Francesca Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-11-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/6978439
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We introduce some new generalization of fixed point theorems in complete metric spaces endowed with w -distances via R -functions. Our results extend many of known fixed point theorems such as Reich type contraction, Geraghty contraction, Meir-Keeler contraction, and Z -contraction. In addition, the result and corollaries show that our approach has a constructive attitude and many known and unknown results can be constructed in such way.