Results 31 to 40 of about 4,283,472 (107)

Some aspects of the n-ary orthogonal and b(αn,βn)-best approximations of b(αn,βn)-hypermetric spaces over Banach algebras

Demonstratio Mathematica, 2023
In this article, a definition of a b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-best approximations of b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-hypermetric spaces over Banach algebras is given. Our objective is to prove the concept of extension
Nezhad Akbar Dehghan, Paunovic Marija, Savic Ana, Radenović Stojan   +3 more
doaj   +1 more source

Relation‐Theoretic Suzuki Fixed Point Results by Employing a Suitable Class of Nonlinear Contractions With an Application to Nonlinear Integral Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The aim of this article is to derive fixed point findings under a suitable class of Suzuki nonlinear contractions besides utilizing a specific binary relation (not necessarily transitive) on a metric space. Established results are sharpened forms over several corresponding results of the existing literature, such as relation‐theoretic nonlinear ...
Doaa Filali, Mohammad Arif, Faizan Ahmad Khan, Fahad M. Alamrani, Shurooq B. Alblawie, Adel Alatawi, Smritijit Sen   +6 more
wiley   +1 more source

KKM and KY fan theorems in modular function spaces

Fixed Point Theory and Applications, 2011
In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul, Al-Sulami Hamid, Khamsi Mohamed   +2 more
doaj  

Abstract Leray–Schauder Type Alternatives and Extensions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
We present a Leray–Schauder type alternative for a general class of maps. This enables us to obtain some Birkhoff–Kellogg type results and a Furi–Pera result.
O’Regan Donal
doaj   +1 more source

On Hammerstein Integral Equations and Engineering Models via Paired Contractions in Partial Metric Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a novel class of paired contractions to establish fixed point results for multivalued mappings within the framework of partial metric spaces. Requirements for the existence of fixed points are investigated, and a few nontrivial instances are given to illustrate the usefulness and relevance of the proposed notions.
Rhoda Chiroma, Mohammed Shehu Shagari, Monairah Alansari, Trad Alotaibi, Afis Saliu, Smritijit Sen   +5 more
wiley   +1 more source

Orthogonal Stability of an Additive-Quadratic Functional Equation

Fixed Point Theory and Applications, 2011
Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
doaj  

Leray–Schauder Alternatives for Maps Satisfying Countable Compactness Conditions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper we present Leray–Schauder alternatives for a general class of Mönch type maps.
O’Regan Donal
doaj   +1 more source

Fixed Point Index for Simulation Mappings and Applications

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, we construct the fixed point index for a class of contractive mapping defined by a simulation mapping and a measure of noncompact-ness noted by Zµ− contraction maps.
Benmezaï Abdelhamid, Hammache Karima, Melouane Nassima   +2 more
doaj   +1 more source

New Fixed Point Principles Based on Decreasing Auxiliary Functions and Their Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work introduces a novel contractive framework, referred to as the G‐contraction, which is formulated via a decreasing function G : (0, ∞)⟶(0, ∞) satisfying a collection of axioms distinct from those associated with F‐contractions and θ‐contractions.
Rabeb Sidaoui, Hayel N. Saleh, Amel Touati, Khaled Aldwoah, Smritijit Sen   +4 more
wiley   +1 more source

Fixed point results for contractions involving generalized altering distances in ordered metric spaces

Fixed Point Theory and Applications, 2011
In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete metric spaces.
Samet Bessem, Kim Jong, Nashine Hemant
doaj