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Matematicheskie Zametki, 2008, Volume 83, Issue 3, Pages 361–369
DOI: https://doi.org/10.4213/mzm4524 (Mi mzm4524) 		 
Common Coincidence- and Fixed-Point Theorems for a Class of Nonlinear Hybrid Mappings

Yisheng Lai

Zhejiang Gongshang University
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DOI: https://doi.org/10.4213/mzm4524
Abstract: The concepts of multiple quasi-compatibility for single-valued and multi-valued mappings are defined. Some common fixed- and coincidence-point theorems for single-valued and multi-valued mappings satisfying a $\phi$-type condition are obtained by an iteration scheme. The conditions are not assumed to be of a contractive type.
Keywords: Hausdorff metric, fixed and coincidence point, compatibility and multiple quasi-compatibility.
Received: 21.10.2005
English version:
Mathematical Notes, 2008, Volume 83, Issue 3, Pages 327–334
DOI: https://doi.org/10.1134/S0001434608030048
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: Yisheng Lai, “Common Coincidence- and Fixed-Point Theorems for a Class of Nonlinear Hybrid Mappings”, Mat. Zametki, 83:3 (2008), 361–369; Math. Notes, 83:3 (2008), 327–334
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