Results 21 to 30 of about 1,100 (150)
A New Approach of Graphical Presentation in C∗‐Algebra‐Valued b‐Metric Spaces With an Application
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, we introduced the new concept of a graphical presentation approach in C∗‐algebra‐valued b‐metric space (C∗AVbM‐space). We studied some new modified contraction conditions for single‐valued mappings in C∗AVbM‐spaces and proved the uniqueness of fixed point (FP) results in the said space with nontrivial illustrative examples.
Faiz Ullah +4 more
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Convergence theorems for uniformly quasi‐Lipschitzian mappings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 15, Page 763-775, 2004., 2004 We prove some convergence theorems of the modified Ishikawa iterative sequence with errors for uniformly quasi‐Lipschitzian mappings in metric spaces. Our results generalize and improve the corresponding results of Petryshyn and Williamson, Ghosh and Debnath, Liu, and many others.
Haiyun Zhou +3 more
wiley +1 more source
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this manuscript, we establish some results on fixed points by using a triplet of auxiliary functions endowed with a locally J‐transitive binary relation. We also present an example to illustrate the suitability of our results and discuss some applications to first and second order ordinary differential equations with periodic boundary value problems,
Shahbaz Ali +4 more
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Nonautonomous Dynamical Systems, 2023 In this work, we investigate the existence of mild solutions in the α\alpha -norm for a class of nonlocal integrodifferential equations. We employ the theory of resolvent operators introduced by R. Grimmer. The Leray-Schauder alternative is the principal
El Matloub Jaouad, Ezzinbi Khalil
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 46, Page 2443-2451, 2004., 2004 We show that the Ishikawa iteration and the corresponding Mann iteration are equivalent when applied to ψ‐uniformly pseudocontractive or ψ‐uniformly accretive maps.
B. E. Rhoades, Ştefan M. Şoltuz
wiley +1 more source
Acta Universitatis Sapientiae: Mathematica, 2022 We contribute to the development of equivalence of fixed point iterative sequences for multivalued mappings in modular function spaces, by proving the equivalence of convergence of implicit Mann, implicit Ishikawa, implicit Noor, implicit multistep ...
Akewe H. +2 more
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Some Results of Fixed Points in Complete b‐Metric‐Like Space With Application
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this contribution, we prove some results of the uniqueness of the common fixed point for quadruple mappings in a complete b‐metric‐like space. Then, two nontrivial illustrative examples are provided to highlight the reliability of our basic findings.
Hakima Bouhadjera +4 more
wiley +1 more source
Related fixed points for set‐valued mappings on two uniform spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 69, Page 3783-3791, 2004., 2004 Some related fixed point theorems for set‐valued mappings on two complete and compact uniform spaces are proved.
Duran Türkoğlu, Brian Fisher
wiley +1 more source
Open Mathematics, 2018 In this work, we introduce the notions of (s, p, α)-quasi-contractions and (s, p)-weak contractions and deduce some fixed point results concerning such contractions, in the setting of b-metric-like spaces.
Zoto Kastriot +2 more
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Some results on Caristi type coupled fixed point theorems
Acta Universitatis Sapientiae: Mathematica, 2022 In this work we define the concepts of the coupled orbit and coupled orbitally completeness. After then, using the method of Bollenbacher and Hicks [8], we prove some Caristi type coupled fixed point theorems in coupled orbitally complete metric spaces ...
Şahin İlker, Telci Mustafa
doaj +1 more source