Results 31 to 40 of about 512 (131)
The purpose of this paper is to find common fixed point results for two families of multivalued mappings fulfilling generalized rational type A–dominated contractive conditions on a closed ball in complete dislocated b-metric spaces. Some new fixed point
Rasham Tahair, Shoaib Abdullah
doaj +1 more source
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
wiley +1 more source
Coincidence theorems for families of multimaps and their applications to equilibrium problems
We apply some continuous selection theorems to establish coincidence theorems for a family of multimaps under various conditions. Then we apply these coincidence theorems to study the equilibrium problem with m families of players and 2m families of constraints on strategy sets.
Lai-Jiu Lin, Hsin I Chen
wiley +1 more source
Some Results of Fixed Points in Complete b‐Metric‐Like Space With Application
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
Revisiting Cauty′s proof of the Schauder conjecture
The Schauder conjecture that every compact convex subset of a metric linear space has the fixed‐point property was recently established by Cauty (2001). This paper elaborates on Cauty′s proof in order to make it more detailed, and therefore more accessible.
Tadeusz Dobrowolski
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Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b‐Metric Space
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
Remarks on certain selected fixed point theorems
Fixed point theorems due to Lal et al. (1996) and Jungck (1988) are used to derive two common fixed point theorems involving six mappings in complete and compact metric spaces, respectively.
M. Imdad
wiley +1 more source
Coincidence Best Proximity Points of Proximal Berinde G‐Contractions
Recently, a concept of proximal Berinde contractions was introduced and applied to prove the existence of coincidence best proximity points in metric spaces. In this article, we established a new approach to show that these results can be obtained from a fixed point theorem for multivalued (β, L)‐weak contractions.
Moosa Gabeleh, Jack Markin, Dengfeng Lu
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Two fixed point results on F-metric spaces
This paper presents two fixed point results for both single valued and multivalued mappings on F-metric spaces, which is introduced by Jleli and Samet [1]. First, we consider the concept of P-contraction for single valued mappings.
Altun Ishak, Erduran Ali
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This paper aims to investigate new coincidence point theorems for self‐maps under an extended rational contraction. Our approach uses the p‐adic distance in partially ordered ultrametric spaces. Furthermore, to illustrate our major discoveries, we give a comprehensive numerical analysis.
Balaanandhan Radhakrishnan+7 more
wiley +1 more source