Results 31 to 40 of about 4,283,345 (82)

Some results on maximal elements

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 409-413, 2000., 2000
We prove some results on maximal elements using the KKM‐map principle.
Antonio Carbone
wiley   +1 more source

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

open access: yesAnalele 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   +2 more
doaj   +1 more source

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

open access: yesJournal 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   +5 more
wiley   +1 more source

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

open access: yesJournal 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   +4 more
wiley   +1 more source

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

open access: yesFixed 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  

Partial h−F‐Generalized and Subgeneralized Chatterjea Convex Contractions in b‐Metric Spaces and Some Approximate Fixed‐Point Results via Admissible Mappings

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we present new approximate fixed‐point and fixed‐point results for partial h−F‐generalized and h−F‐subgeneralized Chatterjea two‐sided convex contraction mappings in the setting of b‐metric spaces. To establish our main results, we employ admissible mappings and integrate the concept of upclass of Type I functions with partial Chatterjea
Semira Hussien Alemu   +2 more
wiley   +1 more source

Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved.
Agarwal Ravi   +2 more
doaj  

A Homotopy Theory for Maps Having Strongly Convexly Totally Bounded Ranges in Topological Vector Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This paper presents Leray–Schauder alternatives and a topological transversality (homotopy) theorem for compact upper semicontinuos maps having (strongly) convexly totally bounded ranges.
O’Regan Donal
doaj   +1 more source

Solving Systems of Linear Integral Equations via Fixed Point Theory in Extended Parametric Sb‐Metric Spaces

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The purpose of this article is to present some fixed point theorems to guarantee the existence and uniqueness of common fixed points for two mappings (not necessary continuous), satisfying generalized contractions involving rational expressions in the setting of extended parametric Sb‐metric spaces.
Naveen Mani   +4 more
wiley   +1 more source

Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b‐Metric Space

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we study the existence and uniqueness of fixed points for mappings in Kaleva–Seikkala’s type fuzzy b‐metric spaces. Nonlinear contractions of the comparison function and Boyd–Wong’s type are considered, and several new fixed point theorems for these contractions in complete Kaleva‐Seikkala’s type fuzzy b‐metric spaces are presented. It
Jiaojiao Wu   +4 more
wiley   +1 more source

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