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Research Article Open Access
In this paper, mutivated by the recent work of samet et al. (Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Anal. we give some new results on existence of common fixed points for a pair of generalized α-ψ-contractive self-mappings and multivalued mappings. This results extend and improve many existing results in the literature. Some examples are given to illustrate the results.
Common fixed point, Generalized Î±-Ï-contractive, Selfmappings, Multivalued mappings, Smooth Complexities, Adomian Decomposition Method, Applied Mathematics, Number Theory, Sensitivity Analysis, Convection Diffusion Equations, Numerical Solutions, Nonlinear Differential Equations, Differential Transform Method , Balance Law, Quasilinear Hyperbolic Systems, Mixed Initial-boundary Value, Fuzzy Boundary Value, Semi Analytical-Solution, Integrated Analysis, Fuzzy Environments, Molecular Modelling, Fuzzy Quasi-Metric Space, Three Dimensional Steady State, Computational Model