- 期刊
- OpenAccess
Partially Condensing Mappings in Partially Ordered Normed Linear Spaces and Applications to Functional Integral Equations
並列摘要
In this paper, the author introduces a notion of partially condensing mappings in a partially ordered normed linear space and proves some hybrid fixed point theorems under certain mixed conditions of algebra, analysis and topology. The applications of abstract results presented here are given to some nonlinear functional integral equations for proving the existence as well as global attractivity of the comparable solutions under certain monotonicity conditions. The abstract theory presented here is very much useful to develop the algorithms for the solutions of some nonlinear problems of analysis and allied areas of mathematics. A realization of of our hypotheses is also indicated by a numerical example.
並列關鍵字
無資料延伸閱讀
- Zhao, J., & Zhang, H. (2014). Solving Split Common Fixed-Point Problem of Firmly Quasi-Nonexpansive Mappings without Prior Knowledge of Operators Norms. Abstract and Applied Analysis, 2014(), 430-438-552. https://doi.org/10.1155/2014/389689
- Huang, J. C. (2012). Implicit Iteration Process for a Finite of Continuous Asymptotically Pseudocontractive Mappings in Arbitrary Banach Spaces. 馬偕學報, (10), 135-147. https://doi.org/10.7061/MJ.201208.0135
- Kiskinov, H., & Zahariev, A. (2015). Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space. International Journal of Differential Equations, 2015(), 274-280. https://doi.org/10.1155/2015/748607
- Karbalaie, A., Muhammed, H. H., & Erlandsson, B. E. (2013). Using Homo-Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations. International Journal of Mathematics and Mathematical Sciences, 2013(), 121-128. https://doi.org/10.1155/2013/421378
- Zhou, X., Wu, W., & Ma, H. (2012). A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations. Abstract and Applied Analysis, 2012(), 1423-1433-694. https://doi.org/10.1155/2012/856302