In this paper, we introduce the notion of an ordered rational proximal contraction in partially ordered b-quasi metric spaces. We shall then prove some best proximity point theorems in partially ordered b-quasi metric spaces.

Although several phase diagrams of block copolymers prepared by sequential monomer addition are known today, the corresponding tapered have not been reported in detail and this despite industrial importance latter. A diagram based on a series diblock is reported, generated sec-butyllithium initiated statistical anionic copolymerization styrene isoprene cyclohexane. This affords with polyisopren...

We extend the notion of generalized weakly contraction mappings due to Choudhury et al. (2011) to generalized α-β-weakly contraction mappings. We show with examples that our new class of mappings is a real generalization of several known classes of mappings. We also establish fixed point results for such mappings in metric spaces. Applying our new results, we obtain fixed point results on ordin...

A new concept of balancedness for games in normal form is introduced, called weak balanacedness. It is shown that the a-core of a weakly balanced game with an infinite dimensional strategy space and without ordered preferences is nonempty. Using this result we prove core existence theorems for economies (either exchange economies of coalitional production economies) with infinitely many commodi...

In a fuzzy metric space (X;M; *), where * is a continuous t-norm,a locally fuzzy contraction mapping is de ned. It is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. Also, if f satis es the locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition.    

A space X is truly weakly pseudocompact if X is either weakly pseudocompact or Lindelöf locally compact. We prove: (1) every locally weakly pseudocompact space is truly weakly pseudocompact if it is either a generalized linearly ordered space, or a protometrizable zero-dimensional space with χ(x,X) > ω for every x ∈ X; (2) every locally bounded space is truly weakly pseudocompact; (3) for ω < κ...