Some fixed point theorems in generating space of b-quasi-metric family

P Sumati Kumari; Muhammad Sarwar

doi:10.1186/s40064-016-1867-4

Some fixed point theorems in generating space of b-quasi-metric family

Springerplus. 2016 Mar 3:5:268. doi: 10.1186/s40064-016-1867-4. eCollection 2016.

Authors

P Sumati Kumari¹, Muhammad Sarwar²

Affiliations

¹ Department of Mathematics, National Institute of Technology-A.P, Tadepalligudem, Andhra Pradesh India.
² Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber PakhtunKhwa Pakistan.

Abstract

The purpose of this work is to study some properties of "Generating space of b-quasi-metric family"(simply [Formula: see text]-family) and derive some fixed point theorems using some standard contractions. Presented theorems extend and generalize many well-known results in the literature of fixed point theory .

Keywords: Generating space of b-quasi-metric family; s-h generating b-quasi-contraction; s-z generating b-quasi-contraction.