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**Fixed point results for almost generalized cyclic \((\psi, \varphi)\)-weak contractive type mappings with applications.**
*(English)*
Zbl 1246.54041

Summary: We define a class of almost generalized cyclic \((\psi, \varphi)\)-weak contractive mappings and discuss the existence and uniqueness of fixed points for such mappings. We present some examples to illustrate our results. Moreover, we state some applications of our main results in nonlinear integral equations.

### MSC:

54H25 | Fixed-point and coincidence theorems (topological aspects) |

47H10 | Fixed-point theorems |

45G05 | Singular nonlinear integral equations |

### Keywords:

almost generalized cyclic \((\psi, \varphi)\)-weak contractive type mappings; nonlinear integral equations.
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\textit{M. Jleli} et al., Abstr. Appl. Anal. 2012, Article ID 917831, 17 p. (2012; Zbl 1246.54041)

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### References:

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