This paper?s objective is to put forward anewkind of E?type contraction, which includes rational expression, by considering Proinov type functions and CG?simulation functions. contraction termed as a Suzuki-Proinov generalized (?,Z* E)?contraction mapping. Further, some common fixed point theorems using these new mappings, are triangular ??admissible pairs, demonstrated in the setting modular b...

A quasi-free quantum particle endowed with Heaviside position dependent mass jump is observed to experience scattering effects manifested by its by-product introduction of the derivative of the Dirac’s-delta point dipole interaction, δ′ (x) = ∂xδ (x). Using proper parametric mappings, the reflection and transmission coefficients are obtained. A new ordering ambiguity parameters set, as the only...

Let I be a finite or infinite index set, let X be a topological space, and let Yi, φNi i∈I be a family of FC-spaces. For each i ∈ I, letAi : X → 2i be a set-valued mapping. Some new existence theorems of maximal elements for a set-valued mapping and a family of set-valued mappings involving a better admissible set-valuedmapping are established under noncompact setting of FC-spaces. Our results ...

Function space topologies are developed for EC(Y,Z), the class of equi-continuous mappings from a topological Y to uniform Z. Properties such as splittingness, admissibility etc. defined spaces. The net theoretic investigations carried out provide characterizations splittingness and function spaces on EC(Y,Z). open-entourage topology pointtransitive-entourage shown be admissible splitting respe...

Martindale proved that under some conditions every multiplicative isomorphism between two rings is additive. In this paper, we extend this theorem to a larger class of mappings and conclude that every multiplicative $(alpha, beta)-$derivation is additive.

In this note, we define Meir-Keeler contraction in S b -metric spaces. Further, by adding the concept of id="M4"> α -admissible mappings, generalized id="M5"> s -Meir-Keeler and used it for examining existence uniqueness fixed points. Various results are also given...