Multivalued Suzuki-generalized ´Ciri´c Type Nonlinear Contractions with an Application to Fractal Space

Abstract

In this article, we introduce the idea of relation theoretic multivalued Suzuki-generalized nonlinear
contractions and utilized the same to prove some fixed point results in a R-complete
partial metric space. Our newly proved results are sharpened versions of several known results
of the existing literature, which is substantiated by an example. Moreover, the stability of fixed
point sets of the multivalued contractions is also discussed. Further, we give an application to
the iterated function space.