Sentence examples for mappings and common from inspiring English sources

In this paper, we have introduced the concepts of further generalized hybrid mappings and common attractive points (CAP).

The study of fixed points of mappings and common fixed points of pair of mappings satisfying cyclic contractive conditions has been the focus of vigorous research activity in the last years.

Applying Theorem 3.1, we study split common solutions for common fixed points of a finite family of strict pseudo-nonspreading mappings, and common fixed points of a countable family of strict pseudo-nonspreading mappings.

We study split common solutions for a countable family of equilibrium problems, common fixed points for a countable family of quasi-nonexpansive mappings and common fixed points of a finite family of ρ i -strictly pseudo-nonspreading mappings.  .

We study a split feasibility problem for common fixed points of a countable family of hemicontinuous pseudo-contractive mappings, zeros for a countable family of mappings which are the sum of two monotone mappings and common fixed points of a finite family of ρ i -strictly pseudo-nonspreading mappings.

We study split common solutions for a countable family of variational inequality problems, common fixed points of a countable family of quasi-nonexpansive mappings and common fixed points of a finite family of ρ i -strictly pseudo-nonspreading mappings: { Find  x ¯ ∈ C  such that x ¯ ∈ ⋂ i = 1 ∞ VI ( C, M i ) ∩ ⋂ i = 1 ∞ Fix ( W i ),  .

In 2009, Abbas et al. [14] utilized the notions of the property (E.A) (which contains the class of non-compatible self mappings) and the common property (E.A) in fuzzy metric spaces and proved common fixed point theorems.

Applying Theorem 3.1, we study a variational inequality problem over split common solutions for a fixed point of a finite family of strict pseudo-nonspreading mappings and a common fixed point of countable families of mappings.

Beg and Butt [19] studied set-valued mappings and proved common fixed point results for mappings satisfying implicit relation in a partially ordered metric space.

We first establish a coupled coincidence point theorem for two mappings and a common fixed point theorem for two w-compatible mappings in metric spaces.

Recently, Pathak and Shahzad [19] introduced the new concept of weak tangent point and tangential property for single-valued mappings and established common fixed point theorems.