Sentence examples for generating space from inspiring English sources

We also introduce a new class of Λ-cyclic compatible contractions via altering distance functions(Definition 2.9), and prove an existence theorem for this new class of generalized contractions in the generating space of a b-quasi-metric family ((X,d_{alpha })).

(iv) For any (x,yin X), (d_{alpha} x,y)) is non-increasing and left continuous in α.   Generating space of b-dislocated metric family is a generalization of b-dislocated metric space and generating space of quasi-metric family.

The generating space of a b-dislocated quasi-metric family is a generalization of a b-dislocated quasi-metric space and the generating space of a quasi-metric family.

Maas is the charismatic frontman for the Rotterdam-based architecture, urban-planning and landscape-design firm known as MVRDV, which brims with schemes for generating space in our overcrowded world.

If we take (s=1) then generating space of b-quasi-metric family becomes generating space of quasi-metric family as defined by Chang et al. [36].

Now we give some basic definitions of the generating space of a b-quasi-metric family.

Some new concepts of generating spaces of quasi-norm family are introduced and their linear topological structures are studied.

In this paper, we prove some fixed point theorems using various cyclic contractions in weaker forms of generating spaces.

From our results in various generating spaces, we obtain the corresponding theorems for cyclic maps in weaker forms of metric spaces.

One also proved the existence of unique fixed point theorems in weaker forms of a generating spaces by using various cyclic contractive conditions.

Then we prove the existence of fixed point theorems in weaker forms of generating spaces by using the above mentioned contractive conditions.