In this paper, via $C$-class functions, as a new class of functions, a fixed theorem in complete $b$-metric spaces is presented. Moreover, we study some results, which are direct consequences of the main results. In addition, as an application, the existence of a solution of an integral equation is given.

We primarily make a general approach to the study of open covers and related selection principles using idea statistical convergence in metric space. In process we are able extend some results (Caserta et al. 2012; Chandra 2020) where bornological spaces have been investigated strong uniform (Beer Levi, 2009) on bornology. introduce notion statistical-Bs-cover, statistically-strong-B-Hurewicz s...

We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self distance is not necessarily zero. For this, first we introduce a Ciric type generalized F-contraction and F- Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate...

‎The aim of this paper is to establish and prove some results on common fixed point‎ for a pair of multi-valued mappings in complex valued $b$-metric spaces‎. ‎Our‎ ‎results generalize and extend a few results in the literature‎.