Sentence examples for mappings were either from inspiring English sources

Shih and Tan [1] obtained results on generalized quasi-variational inequalities in locally convex topological vector spaces and their results were obtained on compact sets where the set-valued mappings were either lower semi-continuous or upper semicontinuous.

(2) Shih and Tan [1] obtained results on generalized quasi-variational inequalities in locally convex topological vector spaces and their results were obtained on compact sets where the set-valued mappings were either lower semi-continuous or upper semicontinuous.

The first paper on generalized bi-quasi-variational inequalities was written by Shih and Tan in 1989 in [1] and the results were obtained on compact sets where the set-valued mappings were either lower semi-continuous or upper semi-continuous.

(2) In 1985, Shih and Tan [1] obtained results on generalized quasi-variational inequalities in locally convex topological vector spaces, and their results were obtained on compact sets where the set-valued mappings were either lower semi-continuous or upper semi-continuous.

In 1985, Shih and Tan [1] obtained results on generalized quasi-variational inequalities in locally convex topological vector spaces, and their results were obtained on compact sets where the set-valued mappings were either lower semi-continuous or upper semi-continuous.

As any two compatible or noncompatible selfmappings on a partial metric space X satisfy the (E.A -property, thE.A -propertytheemabovetresult any one of the pairemainsppings is eitrue compatifle or noncompanyble.

Such sequences are built from a set of primary self-mappings which are either expansive or non-expansive self-mappings and some of the non-expansive ones can be contractive including the case of strict contractions.

The existence of common fixed points is established for two or three noncommuting mappings where T is either ordered S-contraction or ordered asymptotically S-nonexpansive on a nonempty ordered starshaped subset of a hyperbolic ordered metric space.

In view of this result, locally univalent harmonic mappings in the unit disc are either sense-reversing if | g ′ ( z ) | > | h ′ ( z ) |. in D 1 or sense-preserving if | g ′ ( z ) | < | h ′ ( z ) |. in D 1. Throughout this paper, we will restrict ourselves to the study of sense-preserving harmonic mappings.

By Hurwitz's theorem a uniform limit of holomorphic injective mappings is holomorphic and either injective or constant.

The mappings were designed to make the Palestinians feel that we are there all the time.