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Suppose that for all and let be the fixed points of the map Then, (3.1).
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The following corollary is the fixed point result for the ordered Prešić type contractions (for details, see [7]).
Hence, order-clustered fixed points are generalizations of the fixed points.
The main tools for our analysis are: (a) the fixed point analysis of infinite dimensional operators and; (b) the convergence of Riemann sums to an integral.
It is evident that the fixed point theory is one of the fundamental tools in nonlinear functional analysis.
The value function (and optimal value) is characterized via the fixed point equation (19).
In this section, sufficient conditions for stability are presented by the fixed point theory.
(2) is the fixed-point of the function defined by (3.1).
(4) are the fixed-points of the (n-1 -dimensional n-1 -dimensionalhe equation-1 -dimensional
Since the fixed point of is unique, we must have.
The fixed point theory is currently a very active field.
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