Applications of some new Krasnoselskii-type fixed-point results for generalized expansive and equiexpansive mappings

Abstract

We consider Ω as a subset of a Banach space W and Λ as a function of Ω into W. Let Ϝ be a function whose image values lie in W and domain is $\Lambda (\Omega )\times \Omega $ Λ ( Ω ) × Ω or $\Omega \times \Omega $ Ω × Ω . In this paper, we establish some fixed-point results for a generalized expansive and equiexpansive operator Ϝ such that $\Omega \subseteq \digamma (\Lambda \omega ,\Omega )$ Ω ⊆ Ϝ ( Λ ω , Ω ) or $\Omega \subseteq \digamma (\omega ,\Omega )$ Ω ⊆ Ϝ ( ω , Ω ) . We apply our results to acquire the solutions of fractional evolution equations and certain types of integral equations. We demonstrate our results with examples, and plot approximate and exact solutions with errors.

Visible‐light photoredox catalyzed synthesis of tetrahydrobenzofuranone: Oxidative [3 + 2] cycloaddition of dicarbonyl and alkene

“…Visible-light photoredox catalysis has proven to be a powerful tool for initiating various organic transformations in modern synthetic chemistry over the past decade [1][2][3][4][5][6][7][8]. It can be considered an ideal approach because of its green and sustainable attributes.…”