Symmetric Solutions of Nonlinear Fractional Integral Equations via a New Fixed Point Theorem under FG-Contractive Condition
- 7 May 2019
- journal article
- research article
- Published by Taylor & Francis Ltd in Numerical Functional Analysis and Optimization
- Vol. 40 (12), 1448-1466
- https://doi.org/10.1080/01630563.2019.1602779
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.Keywords
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