[PDF][PDF] ON BEST PROXIMITY POINT APPROACH TO SOLVABILITY OF A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

PR Patle, M Gabeleh, M De La Sen - Journal of Applied Analysis & …, 2023 - jaac-online.com
In this article, a class of cyclic (noncyclic) condensing operators is defined on a Banach
space using the notion of measure of noncompactness and C-class functions. For these …

[PDF][PDF] A novel extension of Darbo's fixed point theorem and its application to a class of differential equations involving (k, ψ)-Hilfer fractional derivative

GK Khokhara, DK Patela, PR Patleb - Filomat, 2024 - pmf.ni.ac.rs
In this article, a new generalised class of operators called as A-condensing operators is
introduced. The fixed point as well as coupled fixed point results are established for the …

A note on best proximity points for -contractive non-self mappings

S Som - Korean Journal of Mathematics, 2024 - kkms.org
Abstract In the year 2012, Wardowski [Wardowski, D., Fixed Point Theory Appl., 94 (2012),
6pp] introduced the notion of $ F $-contraction mapping and presented a fixed point result …