On (ψ, ϕ)-Rational Contractions

An Extension of Generalized (ψ,φ)-Weak Contractions

Module (φ,ψ)-amenability of Banach Algebras

Let S be an inverse semigroup with the set of idempotents E and S/ ≈ be an appropriate group homomorphic image of S. In this paper we find a one-to-one correspondence between two cohomology groups of the group algebra `1(S) and the semigroup algebra `1(S/ ≈) with coefficients in the same space. As a consequence, we prove that S is amenable if and only if S/ ≈ is amenable. This could be consider...

Fixed points for weak φ-contractions on partial metric spaces

In this paper, following [W.A. Kirk, P.S. Srinivasan, P. Veeramani, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory. 4 (2003) 79-89], we give a fixed point result for cyclic weak φ-contractions on partial metric space. A Maia type fixed point theorem for cyclic weak φ-contractions is also given.

Fixed point theorems for φ-contractions

*Correspondence: [email protected] 1School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad, Pakistan Full list of author information is available at the end of the article Abstract This paper deals with the fixed point theorems for mappings satisfying a contractive condition involving a gauge function φ when the underlying set is endowed with a b-met...

Some generalizations for (α−ψ,φ)$(\alpha - \psi,\phi )$-contractions in b-metric-like spaces and an application

*Correspondence: [email protected] 1Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra, Albania Full list of author information is available at the end of the article Abstract In this paper, we introduce a new class of αqsp -admissible mappings and provide some fixed point theorems involving this class of mappings satisfying...