Symmetric Solutions of Nonlinear Fractional Integral Equations via a New Fixed Point Theorem under FG-Contractive Condition. (10th September 2019)

• Record Type: Journal Article
• Authors: Kumar Nashine, Hemant; Ibrahim, Rabha W.
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 12(2019)
• Page Start: 1448
• Page End: 1466
• Publication Date: 2019-09-10
• Subjects: Common fixed point -- fractional calculus -- fractional differential equation -- fractional differential operator -- weakly compatible mappings; 47H10 -- 54H25 -- 26A33; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1602779
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: We set up the existence of a symmetric outcome of a system of simultaneous nonlinear fractional integral equations, that arises in motion of water wave on smooth surface, with the help of a common fixed point theorem satisfying a generalized FG -contractive condition. To accomplish this, we introduce first the concept of generalized FG -contractive condition for two pairs of self-mappings in a complete metric space and then we establish requisites for common fixed point results for weakly compatible mappings followed by a suitable example.