A fixed point theorem for set-valued quasi-contractions in b-metric spaces

Abstract

In this article, we give a fixed point theorem for set-valued quasi-contraction maps in b-metric spaces. This theorem extends, unifies and generalizes several well known comparable results in the existing literature.

Fuzzy fixed point theorems for multivalued fuzzy contractions in b -metric spaces

“…Since then, a number of authors investigated fixed point theorems for single-valued and miltivalued mappings in b-metric spaces (see [3,4,7,8,9,10,11,12,14,16,17,22,31] and references therein).…”

Resolving systems of nonlinear integral equations via C-class functions

“…In Czerwik (1993) and Czerwik (1998) extended many results related to the bmetric spaces. Since then, several papers have been published on the fixed point theory of various classes of single-valued and multi-valued operators in b-metric spaces (Akkouchi, 2011;Aydi et al, 2012;Boriceanu, 2009;Boriceanu et al, 2010;Bota et al, 2011;Hussain & Shah, 2011;Olatinwo, 2008;Huang et al, 2015;Mustafa et al, 2013;Mustafa et al, 2014;Ansari et al, 2014;Aghajani et al, 2014).…”

Existence of solution of Urysohn integral equation through generalized contractive mapping

“…Also he proved the Banach contraction principle in b-metric spaces. After that many researchers obtained fixed point results in b-metric spaces (see [2], [3], [6], [8]). …”