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Coincidence and common fixed point theorems for Suzuki type hybrid contractions and applications

Singh, Shyam Lal; Kamal, Raj; De la Sen Parte, Manuel

(Springer International Publishing, 2014-07-22)

Coincidence and common fixed point theorems for a class of Suzuki hybrid contractions involving two pairs of single-valued and multivalued maps in a metric space are obtained. In addition, the existence of a common solution ...

Pata contractions and coupled type fixed points

Eshaghi, Madjid; Mohseni, Samad; Delavar, Mohsen Rostamian; De la Sen Parte, Manuel

; Kim, Gwang Hui; Arian, Asma (Springer International Publishing, 2014-06-02)

A new coupled fixed point theorem related to the Pata contraction for mappings having the mixed monotone property in partially ordered complete metric spaces is established. It is shown that the coupled fixed point can be ...

Results on proximal and generalized weak proximal contractions including the case of iteration-dependent range sets

De la Sen Parte, Manuel

; Agarwal, Ravi P.; Ibeas Hernández, Asier

(Springer International Publishing, 2014-07-18)

This paper presents some further results on proximal and asymptotic proximal contractions and on a class of generalized weak proximal contractions in metric spaces. The generalizations are stated for non-self-mappings of ...

Coincidence point theorems in quasi-metric spaces without assuming the mixed monotone property and consequences in G-metric spaces

Roldán López de Hierro, Antonio Francisco; Karapınar, Erdal; De la Sen Parte, Manuel

(Springer International Publishing, 2014-09)

In this paper, we present some coincidence point theorems in the setting of quasi-metric spaces that can be applied to operators which not necessarily have the mixed monotone property. As a consequence, we particularize ...