Best Proximity Point Results via Measure of Noncompactness and Application. (21st May 2021)

• Record Type: Journal Article
• Authors: Nashine, Hemant Kumar; Arab, Reza; Patle, Pradip R.; Patel, Deepesh Kumar
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 4(2021)
• Page Start: 430
• Page End: 442
• Publication Date: 2021-05-21
• Subjects: Best proximity point -- Darbo fixed point theorem -- measure of noncompactness; Primary: 47H08 -- 47H09 -- Secondary: 47H10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1884570
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: Best proximity results for cyclic and noncyclic F G -contractive operators in (strictly convex) Banach spaces are obtained via the measure of noncompactness. The work extends some of recent investigations in this direction. The obtained results are applied to investigation of optimum solutions for a system of second order differential equations with two initial conditions followed by an example.