On the Existence of Fixed Points in a Totally Ordered Set

On the existence of fixed points that belong to the zero set of a certain function

*Correspondence: [email protected] 4Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia Full list of author information is available at the end of the article Abstract Let T : X → X be a given operator and FT be the set of its fixed points. For a certain function φ : X → [0,∞), we say that FT is φ-admissible if FT is nonempty and FT ⊆ ...

On the existence of fixed points for contraction mappings‎ ‎depending on two functions

‎In this paper we study the existence of fixed points for mappings defined on complete metric spaces‎, ‎satisfying a general contractive inequality depending on two additional mappings‎.

The existence totally reflexive covers

Let $R$ be a commutative Noetherian ring. We prove that  over a local ring $R$ every finitely generated $R$-module $M$ of finite Gorenstein projective dimension has a Gorenstein projective cover$varphi:C rightarrow M$ such that $C$ is finitely generated and the projective dimension of $Kervarphi$ is finite and $varphi$ is surjective.

EXISTENCE OF FIXED POINTS OF CERTAIN CLASSES OF NONLINEAR MAPPINGS

In this study, we introduce the classes of $phi$-strongly pseudocontractive mappings in the intermediate sense and generalized $Phi$-pseudocontractive mappings in the intermediate sense and prove the existence of fixed points for those maps. The results generalise the results of several authors in literature including Xiang [Chang He Xiang, Fixed point theorem for generalized $Phi$-pseudocontra...

Semi-t-operators on a finite totally ordered set