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The results are based on the contraction mapping principle and the Krasnoselskii fixed point theorem.

The results are based on the contraction mapping principle and the Schauder fixed point theorem.

Our results are based on the Banach contraction mapping principle and the Krasnoselskii fixed point theorem.

Our results are based on contraction mapping principle and Krasnosel'skiĭ's fixed point theorem.

The results are based on the contraction mapping principle and Krasnoselskii's fixed point theorem.

In Menger probabilistic metric spaces, the contraction mapping principle and relevant best proximity point theorems have been proved by authors.

The existence and uniqueness results are based on Banach's contraction mapping principle and Krasnoselskii's fixed point theorem.

By applying the Banach contraction mapping principle and the Leray-Schauder degree theory, some existence results of solutions are obtained.

For the automotive catalytic reaction system, uniqueness criteria for the steady state are obtained by use of the contraction mapping principle and the Hammerstein uniqueness theorem.

The existence and uniqueness of solutions for (1.3) will be derived by the Banach contraction mapping principle and Leray-Schauder degree theory.

3, we employ Banach's contraction mapping principle and the Leray Schauder nonlinear alternative to prove an existence and uniqueness of solution of the problem (1.5)–(1.5).

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