S. E. Zhukovskiy scite author profile

In the paper, there were studied Caristi-like conditions that guaranteed existence of a minimum of a function on a metric space. For functions dependent on a parameter, there were obtained conditions for existence of a minimum for each value of the parameter. These results were applied to derive conditions for fixed point and coincidence point existence for mappings in metric spaces. For mappings dependent on a parameter, there were obtained conditions of coincidence point existence for each value of the parameter.

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S. E. Zhukovskiy

Kantorovich’s Fixed Point Theorem in Metric Spaces and Coincidence Points

On implicit function theorem for locally Lipschitz equations

Covering mappings and well-posedness of nonlinear Volterra equations

Caristi-like condition. Existence of solutions to equations and minima of functions in metric spaces

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