Results 31 to 40 of about 526,402 (91)

Krasnoselskii's theorem in generalized Banach spaces and application

Electronic Journal of Qualitative Theory of Differential Equations, 2012
The purpose of this paper is to extend Krasnoselskii's fixed point theorem to the case of generalized Banach spaces for singlevalued and multivalued operators.
I. R. Petre, Adrian Petrusel
doaj   +1 more source

Some New Fixed Point Results in Banach Space for Enriched Contraction in Terms of Krasnoselskii Iteration

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
In this article, several new fixed point results are established by employing the Krasnoselskii iteration method for a pair of self‐mappings in Banach spaces. It explores the idea of enriched contraction, conditionally sequential absorbing mappings, and various types of continuity terms. Further, to support our main result, an example is provided which
Priya Goel, Dimple Singh, Ramandeep Behl, Cristina Amorós, Qamar Din   +4 more
wiley   +1 more source

Computational Analysis of Common Fixed Points in b‐Metric Spaces With Applications to Well‐Posedness and Projectile Motion

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This article establishes common fixed‐point results for a pair of self‐mappings governed by a new Suzuki‐type contraction in the setting of complete b‐metric spaces. The proposed framework generalizes several existing contraction principles in the literature by relaxing the traditional triangle inequality and incorporating a Suzuki‐type restriction on ...
Manju Devi, Surjeet Singh Chauhan(Gonder), Rahul Shukla, Jaume Giné   +3 more
wiley   +1 more source

Sharp Best Proximity Point Results for Multivalued Operators in Extended Rectangular b‐Metric Spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we propose a novel extension of generalized distance, which we call the θ‐extended rectangular b‐generalized pseudo‐distance. This new concept generalizes and unifies several known notions of distance by incorporating a parameter θ, along with the framework of rectangular b‐metric spaces and pseudo‐distances.
Cholatis Suanoom, Natthaphon Artsawang, Nawab Hussain   +2 more
wiley   +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

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

Diametrically Contractive Multivalued Mappings [PDF]

, 2007
Diametrically contractive mappings on a complete metric space are introduced by V. I. Istratescu. We extend and generalize this idea to multivalued mappings. An easy example shows that our fixed point theorem is more applicable than a former one obtained
H. Yingtaweesittikul, H. Yingtaweesittikul, S Dhompongsa, S. Dhompongsa, H Yingtaweesittikul, S. Dhompongsa   +5 more
core   +2 more sources

Ordered Bipolar Metric Spaces and Fixed‐Point Results With an Application to Solution of Fractional Differential Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The aim of this paper is to introduce the concept of an ordered bipolar metric space in which we establish some fixed‐point theorems for contravariant mappings under a generalized nonlinear rational‐type contractive condition. Moreover, we analyze the monotonicity of the second iteration of the mapping, which is inherently covariant.
Deepika Adhikari, Naveen Chandra, Mohammad Sajid, Smritijit Sen   +3 more
wiley   +1 more source

Multivalued Pseudo-Picard Operators and Fixed Point Results

, 2020
We introduce the concept of multivalued pseudo-Picard (MPP) operator on a metric space. This concept is weaker than multivalued weakly Picard (MWP) operator, which is given by M.
Özlem Acar, Ishak Altun, Gülhan Mjnak
core  

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