Title of article :
Some fixed point theorems for nonexpansive self-mappings and multi-valued mappings in $b$-metric spaces
Author/Authors :
Mohammadi, B. Marand Branch, Islamic Azad University, Marand, Iran , Golkarmanesh, F. Sanandaj Branch, Islamic Azad University, Sanandaj, Iran , Parvaneh, V. Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
Abstract :
In this paper, motivated by [F. Vetro, Filomat, 29:9 (2015),2011–2020] we present some fixed point results for a class ofnonexpansive self-mappings and multi-valued mappings in theframework of $b$-metric spaces. Our results generalize and improvethe consequences of [ Khojasteh et al. Abstract and AppliedAnalysis, vol. 2014, Article ID 325840, 5 pages, 2014.] and [F. Vetro, Filomat, 29:9 (2015),2011–2020]. Some examples are provided to illustrate our results.
Keywords :
Fixedpoint , multi-valued mappings , nonex-pansive self-mapping , b-metric spaces
Journal title :
Journal of Mathematical Extension(IJME)
