Results 31 to 40 of about 116 (109)

A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel, Ravikumar Bandaru, Amal S. Alali, Erhan Güler   +3 more
wiley   +1 more source

Matkowski theorems in the context of quasi-metric spaces and consequences on G-metric spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we prove the characterization of a Matkowski's theorem in the setting of quasi-metric spaces.
Karapιnar Erdal, Roldán-López-de-Hierro Antonio-Francisco, Samet Bessem   +2 more
doaj   +1 more source

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

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

Fixed point theorem for sequences of maps

, 2005
In this paper, we prove a common fixed point theorem for sequences of maps under the condition of compatible mappings on complete metric space. We extend and generalize several fixed point theorems on complete metric space. © 2005 Warsaw University.
I. Altun, Turkoglu, D., D. Turkoglu, B. Fisher, Altun, İshak, Fisher, B.   +5 more
core   +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

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

Some Common Fixed Point Theorems For Compatible Mapping In Fuzzy Metric Spaces For Integral Type Mapping [PDF]

, 2013
In this paper, we prove some common fixed point theorems for six mappings in fuzzy metric space for integral type mapping. Our main results extend generalize and fuzzify some known results in fuzzy metric spaces.
Patel, Rasik M., Bhardwaj, Ramakant
core   +1 more source

Generalized Enriched Contractions of Boyd–Wong and Geraghty Type in Banach Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper examines generalized enriched contractions of the Boyd–Wong and Geraghty types within Banach spaces, expanding the classical concept of enriched operators. We establish the existence and uniqueness of fixed points for these contractions and analyze the convergence of Mann‐type iterative schemes specifically designed for these mappings.
Rekha Panicker, Rahul Shukla, Xian-Ming Gu   +2 more
wiley   +1 more source

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