Nonlinear partial completely continuous operators in a partially ordered Banach space and nonlinear hyperbolic partial differential equations
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https://doi.org/10.26637/mjm1204/001Abstract
We prove a hybrid fixed point theorem for partial completely continuous operators in a partially ordered metric space and derive an applicable hybrid fixed point result in an ordered Banach space as a special case. As an application, we discuss a nonlinear hyperbolic partial differential equation for approximation result of local solutions by constructing the algorithms. Finally, an example is indicated to elaborate the hypotheses and abstract result of this paper.
Keywords:
Partially ordered metric space, Hybrid fixed point principle, Hyperbolic partial di erential equation, Dhage iteration method, Local approximation resultMathematics Subject Classification:
47H10, 35A35- Pages: 330-338
- Date Published: 01-10-2024
- Vol. 12 No. 04 (2024): Malaya Journal of Matematik (MJM)
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Copyright (c) 2024 Bapurao Dhage
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