Results on fixed points in b-metric space by altering distance functions
N. Seshagiri Rao,
Ahmad Aloqaily,
Nabil Mlaiki
Affiliations
N. Seshagiri Rao
Department of Mathematics & Statistics, School of Applied Science & Humanities, Vignan's Foundation for Science, Technology & Research, Vadlamudi-522213, Guntur, Andhra Pradesh State, India
Ahmad Aloqaily
Department of Mathematics and Sciences, Prince Sultan University, Riyadh-11586, Saudi Arabia; School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney-2150, Australia
Nabil Mlaiki
Department of Mathematics and Sciences, Prince Sultan University, Riyadh-11586, Saudi Arabia; Corresponding author.
We discuss the existence of a fixed point for a self mapping and its uniqueness satisfying (ϕ˙,η˙)-generalized contractive condition including altering distance functions of rational terms in an ordered b-metric space. It is also discussed whether the two self-maps under the same contraction condition can be coincident and coupled coincident. The results are backed up by a dearth of numerical examples and application to nonlinear quadratic integral equation.
