Fixed point theorems in modular G-metric spaces

被引:0
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作者
Godwin Amechi Okeke
Daniel Francis
Manuel de la Sen
Mujahid Abbas
机构
[1] Federal University of Technology Owerri,Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences
[2] University of the Basque Country,Institute of Research and Development of Processes
[3] Government College University,Department of Mathematics
[4] China Medical University,Department of Medical Research, China Medical University Hospital
关键词
Fixed point; Modular ; -metric spaces; Modular ; -continuity; Operators; Contractive mapping; Weakly compatible; -type condition; Existence and uniqueness; 30Lxx; 32A70; 47H10; 46A80; 46E30; 54H25; 55M20; 58C30;
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学科分类号
摘要
We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators. Furthermore, we prove that some generalized weakly compatible contractive operators in modular G-metric spaces have a unique fixed point. Our results extend, generalize, complement and include several known results as special cases.
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