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Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces

Jianhua Chen, Xianjiu Huang (2015)

Open Mathematics

In this paper, we introduce a new concept of (α, φ)g-contractive type mappings and establish coupled coincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of some existing results.We also give some examples to illustrate the usability of the obtained results.

Coupled fixed points of mixed monotone operators on probabilistic Banach spaces

Ismat Beg, Abdul Latif, Rashid Ali, Akbar Azam (2001)

Archivum Mathematicum

The existence of minimal and maximal fixed points for monotone operators defined on probabilistic Banach spaces is proved. We obtained sufficient conditions for the existence of coupled fixed point for mixed monotone condensing multivalued operators.

Dual convergences of iteration processes for nonexpansive mappings in Banach spaces

Jong Soo Jung, Daya Ram Sahu (2003)

Czechoslovak Mathematical Journal

In this paper we establish a dual weak convergence theorem for the Ishikawa iteration process for nonexpansive mappings in a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, and then apply this result to study the problem of the weak convergence of the iteration process.

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