Results 21 to 30 of about 4,283,472 (107)

Dynamics and Ulam Stability for Fractional q-Difference Inclusions via Picard Operators Theory

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this manuscript, by using weakly Picard operators we investigate the Ulam type stability of fractional q-difference An illustrative example is given in the last section.
Abbas Saïd, Benchohra Mouffak, Karapınar Erdal   +2 more
doaj   +1 more source

Polynomial Fuzzy Contractions With Applications to SEIRV Epidemic Models

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this study, a new family of polynomial‐type fuzzy contractions defined on metric spaces is introduced. Under filtered assumptions, it is demonstrated that such non‐crisp set‐valued operators possess some fixed points. Because of the higher‐order terms polynomial nature of the contractions, a few important corollaries, some of which drop to existing ...
Maha Noorwali, Mohammed Shehu Shagari, Bilal Bilalov   +2 more
wiley   +1 more source

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

Journal 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, Shahid Bashir, Ali Althobaiti, Imran Zulfiqar Cheema, Bilel Selmi   +4 more
wiley   +1 more source

Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this manuscript, we have studied the coupled system of Hilfer fractional differential equations with non-local conditions. We have used the Leray-alternative Schauder’s and the Contraction principle to obtain the results on the existence and ...
Dhawan Kanika, Vats Ramesh Kumar, Agarwal Ravi P.   +2 more
doaj   +1 more source

Enriched (f, ϕ, ψ, s)‐Functional Contractions and Stability of Nonlinear Volterra Integral and Fractional Differential Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we develop a comprehensive analytical framework for generalized nonlinear, nonhomogeneous Volterra integral equations and fractional differential equations in b‐metric spaces equipped with amorphous binary relations. By introducing an enriched (f, ϕ, ψ, s)‐functional contraction, we extend classical contractive conditions to accommodate ...
D. Srinivasan, D. Ramesh Kumar, Xinan Hao   +2 more
wiley   +1 more source

A new class of unsaturated mappings: Ćirić-Reich-Rus contractions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
Using the technique of enriching contractive type mappings, we introduce a more general concept of enriched Ćirić-Reich-Rus contraction than the one studied in [Berinde, V.; Păcurar, M.
Berinde Vasile, Păcurar Mădălina
doaj   +1 more source

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

Journal 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, Esmail Alshaban, Adel Alatawi, Bassam Z. Albalawi, Fahad M. Alamrani, Faizan Ahmad Khan, Smritijit Sen   +6 more
wiley   +1 more source

Generalized functional inequalities in Banach spaces

Moroccan Journal of Pure and Applied Analysis, 2021
In this paper, we solve and investigate the generalized additive functional inequalities ‖F(∑i=1nxi)-∑i=1nF(xi)‖≤‖F(1n∑i=1nxi)-1n∑i=1nF(xi)‖\left\| {F\left( {\sum\limits_{i = 1}^n {{x_i}} } \right) - \sum\limits_{i = 1}^n {F\left( {{x_i}} \right ...
Dimou H., Aribou Y., Kabbaj S.
doaj   +1 more source

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