Multiparametric quantum gl(2) algebras are presented according to a classification based on their corresponding Lie bialgebra structures. From them, the non-relativistic limit leading to quantum harmonic oscillator algebras is implemented in the form of generalized Lie bialgebra contractions.

We present fixed point results for generalized homotopy contractions on spaces with two G -metric. The focus is on continuation results for such type of mappings. MSC: 54H25 • 46J10

This paper explores certain best proximity point expansions for a novel class of non-self-mapping S : P ? Q and T called generalized proximal C-contractions the first second kinds. We expose many examples to justify our obtained results. Considerable fixed results are evolved as consequence main theorems.

Abstract This article proposes four distinct kinds of symmetric contraction in the framework complete F-metric spaces. We examine condition to guarantee existence and uniqueness a fixed point for these contractions. As an application, we look solutions fractional boundary value problems involving generalized derivative known as with respect another function.

The purpose of this paper is to establish coincidence point and common fixed point results for four maps satisfying generalized weak contractions in cone metric spaces. Also, an example is given to illustrate our results.

This paper deals with the existence of an optimum solution a system ordinary differential equations via best proximity points. In order to obtain solution, we have developed point results for generalized multivalued contractions b-metric spaces. Examples are given illustrate main and show that new proper generalization some existing in literature.