Nonlinear Relation-Theoretic Suzuki-Generalized Ćirić-Type Contractions and Application to Fractal Spaces

Abstract

In this article, we introduce the idea of relation-theoretic Suzuki-generalized nonlinear contractions and utilized the same to prove some fixed point results in an ℜ-complete partial metric space. Our newly established results are sharpened versions of earlier existing results in the literature. Indeed, we give an application to construct multivalued fractals using a newly introduced contraction in the iterated function space.

Keywords

• binary relation
• ℜ-completeness
• fractals