抽象凸一致空间中Chandrabhan型映射的不动点定理

IF 1.1 Q1 MATHEMATICS Journal of Nonlinear Functional Analysis Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.17

Hoonjoo Kim, H. Kim

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引用次数: 1

摘要

．摘要给出了抽象凸一致空间上Chandrabhan型多映射的不动点定理。我们得到了Hausdorff KKM一致空间上半连续或闭映射的各种Chandrabhan型多映射的不动点定理，这些映射的值域为Φ -集。我们也得到了超凸度量空间中的不动点定理。

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Fixed point theorems for Chandrabhan type maps in abstract convex uniform spaces

. The aim of this paper is to present new ﬁxed point theorems for Chandrabhan type multimaps on abstract convex uniform spaces. We obtain ﬁxed point theorems for various Chandrabhan type multimaps such as upper semicontinuous or closed maps in Hausdorff KKM uniform spaces, and the maps whose ranges are Φ -sets. We also obtain ﬁxed point theorems in hyperconvex metric spaces.

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来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.