6 papers
Best Proximity Point Results for Cyclic Orbital Contraction Mappings in Metric Spaces
Parveen Kumar, Ankit Kumar, Manu Rohilla
In this paper, we introduce the concept of cyclic orbital contraction mappings which generalizes the concept of cyclic contraction mappings. We establish the existence of best prox…
Inexact infinite products of weak quasi-contraction mappings in -metric spaces
Anuradha Gupta, Manu Rohilla
The influence of errors on the convergence of infinite products of weak quasi-contraction mappings in -metric spaces is explored. An example demonstrating the necessity of conve…
On coupled best proximity points and Ulam-Hyers stability
Anuradha Gupta, Manu Rohilla
For two nonempty, closed, bounded and convex subsets and of a uniformly convex Banach space consider a mapping s…
A new approach to coincidence and common fixed points under a homotopy of families of mappings in -metric spaces
Anuradha Gupta, Manu Rohilla
In this paper we derive coincidence and common fixed point results under order homotopies of families of mappings in preordered -metric spaces.
Common Fixed Point results in Complex valued metric spaces via simulation functions
Anuradha Gupta, Manu Rohilla
In this paper, the notion of -simulation function is introduced and the existence and uniqueness of common fixed points of two self-mappings satisfying contractive cond…
Topological structure of quasi-partial b-metric-like spaces and some fixed point theorems
Anuradha Gupta, Manu Rohilla
The concept of quasi-partial b-metric-like spaces is being introduced and studied with the help of topology. Examples are also discussed to support the results. Some fixed point th…