Results 21 to 30 of about 89 (84)

Fixed points via a generalized local commutativity

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 8, Page 497-507, 2001., 2001
Let g : X → X. The concept of a semigroup of maps which is “nearly commutative at g” is introduced. We thereby obtain new fixed point theorems for functions with bounded orbit(s) which generalize a recent theorem by Huang and Hong, and results by Jachymski, Jungck, Ohta, and Nikaido, Rhoades and Watson, and others.
Gerald F. Jungck
wiley   +1 more source

Interpolative Rus-Reich-Ćirić Type Contractions via Simulation Functions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we introduce the notion of interpolative Rus-Reich-Ćirić type 𝒵- contractions in the setting of complete metric space. We also consider some immediate consequences of our main results.
Karapınar Erdal, Agarwal Ravi P.
doaj   +1 more source

Significance of F‐Contraction After Proinov’s Fixed‐Point Results

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
Wardowski laid out his idea of an F‐contraction mapping, which provides an imperative generalization of the Banach contraction principle, back in 2012. Although Wardowski’s work has generated considerable interest in fixed‐point theory, motivating many researchers to extend these results to more general spaces, to investigate broader classes of ...
Naeem Saleem   +4 more
wiley   +1 more source

Related fixed points for set valued mappings on two metric spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 205-210, 2000., 2000
Some related fixed points theorems for set valued mappings on two complete and compact metric spaces are proved.
Brian Fisher, Duran Türkoglu
wiley   +1 more source

Revisiting of some outstanding metric fixed point theorems via E-contraction

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings.
Fulga Andreea, Karapınar Erdal
doaj   +1 more source

An Extended Almost Weak Contraction in Relational Metric Space and Applications to Nonlinear Matrix Equations

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This manuscript investigates certain fixed point outcomes for an extended almost weak contraction map in a metric space equipped with a locally transitive binary relation. The insights achieved here improve, broaden, solidify and advance a number of noteworthy findings.
Doaa Filali   +6 more
wiley   +1 more source

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

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

open access: yes, 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

Tripled and coincidence fixed point theorems for contractive mappings satisfying Φ-maps in partially ordered metric spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X × X × X → X and ɡ : X → X satisfying a nonlinear contraction based on ϕ-maps. Our results extend and improve many existing results in the literature.
Shatanawi Wasfi   +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

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