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Jleli, Mohamed; Karapınar, Erdal; Samet, Bessem

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

Abstr. Appl. Anal. 2012, Article ID 917831, 17 p. (2012).
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.

Cited in 8 Documents

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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