Study of implicit relation in w-distance and (η,θ,<s>𝒵</s>,φ)β-contraction in wt-distance with an application



	*Study of implicit relation in w-distance and (η,θ,𝒵,φ)_β-contraction in wt-distance with an application*


	Fixed Point Theory, Volume 24, No. 1, 2023, 185-212, February 1st, 2023 DOI: 10.24193/fpt-ro.2023.1.09 Authors: Sudipta Kumar Ghosh, C. Nahak and Ravi P. Agarwal Abstract: In this paper, we study some new fixed point results in the context of w-distance as well as on wt-distance by using α-admissible mappings. Our results enhance and generalize several well known results available in the literature. We present examples to support our new findings. As an application, we utilize our results to obtain a solution of a nonlinear integral equation. Key Words and Phrases: α-admissible mapping, w-distance, wt-distance, implicit relation, (η,θ,𝒵,φ)_β-contraction, non-linear integral equations. 2010 Mathematics Subject Classification: 47H09, 47H10, 54H25. Published on-line: February 1st, 2023. Fulltext pdf Back to volume's table of contents