On enriched cyclic iterated function systems



	On enriched cyclic iterated function systems


	Fixed Point Theory, Volume 25, No. 2, 2024, 495-506, June 15th, 2024 DOI: 10.24193/fpt-ro.2024.2.03 Authors: Ravindra K. Bisht Abstract: In this paper, we consider a new class of generalized enriched cyclic contraction and establish a related fixed point theorem in the setting of a Banach space. As an application to the fractals, we develop a new iterated function system (IFS) consisting of enriched cyclic (b_n, φ_n(t), β_n(t))-contractions. Key Words and Phrases: Cyclic contraction, fractal, iterated function system. 2010 Mathematics Subject Classification: 47H10, 54H25. Published on-line: June 15th, 2024. Fulltext pdf Back to volume's table of contents