Partial Hausdorff metric and Nadlerʼs fixed point theorem on partial metric spaces

H Aydi, M Abbas, C Vetro - Topology and its Applications, 2012 - Elsevier
In this paper, we introduce the concept of a partial Hausdorff metric. We initiate study of fixed
point theory for multi-valued mappings on partial metric space using the partial Hausdorff …

Multi-valued 𝐹-contractions and the solution of certain functional and integral equations

M Sgroi, C Vetro - Filomat, 2013 - JSTOR
Wardowski [Fixed Point Theory Appl., 2012: 94] introduced a new concept of contraction and
proved a fixed point theorem which generalizes Banach contraction principle. Following this …

Some fixed point results for (α, β)-(ψ, φ)-contractive mappings

SA Alizadeh, F Moradlou, P Salimi - Filomat, 2014 - doiserbia.nb.rs
In this paper, we introduce the notions of cyclic (α, β)-admissible mappings,(α, β)-(ψ, Φ)-
contractive and weak α-β-ψ-rational contraction mappings via cyclic (α, β)-admissible …

Set-valued Prešić–Reich type mappings in metric spaces

S Shukla, R Sen - Revista de la Real Academia de Ciencias Exactas …, 2014 - Springer
The purpose of this paper is to establish some coincidence and common fixed point
theorems for a set-valued and a single-valued mapping satisfying Prešić–Reich type …

Fixed point theorems via generalized F F-contractions with applications to functional equations occurring in dynamic programming

D Singh, V Joshi, M Imdad, P Kumam - Journal of Fixed Point Theory and …, 2017 - Springer
The purpose of this paper is threefold. Firstly, recognizing the concept of Piri and Kumam
(Fixed Point Theor Appl 210, 2014), we define generalized F-contractive mappings in the …

Multivalued fixed point results and stability of fixed point sets in metric spaces

BS Choudhury, N Metiya, T Som… - Facta Universitatis …, 2015 - casopisi.junis.ni.ac.rs
In this paper we establish certain multivalued fixed point results for mappings satisfying
rational type almost contractions involving a control function in the framework of metric …

Common fixed points of Kannan, Chatterjea and Reich type pairs of self-maps in a complete metric space

P Debnath, ZD Mitrović, SY Cho - São Paulo Journal of Mathematical …, 2021 - Springer
Common fixed points of Kannan, Chatterjea and Reich type pairs of self-maps in a complete
metric space | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find …

A variant of Nadler's theorem on weak partial metric spaces with application to a homotopy result

I Beg, HK Pathak - Vietnam Journal of Mathematics, 2018 - Springer
The notion of almost partial Hausdorff metric is introduced and a generalization of well-
known Nadler's fixed point theorem for multi-valued mappings on weak partial metric spaces …

A new approach for the approximations of solutions to a common fixed point problem in metric fixed point theory

I Altun, N Al Arifi, M Jleli, A Lashin… - Journal of Function …, 2016 - Wiley Online Library
We provide sufficient conditions for the existence of a unique common fixed point for a pair
of mappings T, S: X→ X, where X is a nonempty set endowed with a certain metric …

New common fixed point theorems for Gornicki-type mappings and enriched contractions

P Debnath - São Paulo Journal of Mathematical Sciences, 2022 - Springer
In this paper, we introduce the notion of Górnicki-type pair of mappings and establish a
criterion for existence and uniqueness of common fixed point for such a pair without …