Fixed‐point theorems for weak (ψ,  β)‐mappings satisfying generalized C‐condition and its application to boundary value problem. Issue 4 (6th June 2019)

• Record Type: Journal Article
• Authors: Gupta, Vishal; Mani, Naveen; Sharma, Naveen
• Is Part Of: Computational and mathematical methods. Volume 1:Issue 4(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-06-06
• Subjects: boundary value problem -- fixed point -- generalized C‐condition -- partially ordered metric space -- weak (ψ, β)‐maps; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1041
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract : In this paper, we define a generalized C ‐condition and prove a fixed‐point theorem for weak ( ψ, β )‐contraction in partially ordered metric spaces. Our result extends the result of Suzuki (Proc. of the 8th Int. Conf. of Fixed Point Theory and Its Appl. 2007;65:751‐761) and Gupta and Mani ( Funct Anal Theory Methods Appl . 2017;3:26‐34). As an application, existence and uniqueness of solution of first‐order periodic boundary value problem have been given in support of our finding.