Results 21 to 30 of about 4,087 (207)
Common fixed points for commuting and compatible maps on compacta
Compatible maps—a generalization of commuting maps—are characterized in terms of coincidence points, and common fixed point theorems for compatible maps and commuting maps on compact metric spaces are obtained.
Gerald Jungck
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We present two non-equivalent families of hierarchies of non-Abelian compatible maps and we provide their Lax pair formulation. These maps are associated with families of hierarchies of non-Abelian Yang-Baxter maps, which we provide explicitly.
Kassotakis, Pavlos
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On Branciari’s theorem for weakly compatible mappings
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fine-grained nociceptive maps in primary somatosensory cortex
Topographic maps of the receptive surface are a fundamental feature of neural organization in many sensory systems. While touch is finely mapped in the cerebral cortex, it remains controversial how precise any cortical nociceptive map may be.
Longo, Matthew R. +10 more
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Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
COMMON FIXED POINTS OF COMPATIBLE MAPPINGS
Extending results of the author [ibid. 23, No. 1, 213-218 (1990; Zbl 0731.54030)] and of \textit{B. E. Rhoades} [Some fixed point theorems for pairs of mappings, Jñānābha 15, 151-156 (1985)], some common fixed point theorems are established. Four mappings are involved satisfying a suitable expansive inequality in a complete metric space and a pairwise ...
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Compatible mappings and common fixed points revisited [PDF]
A fixed point theorem involving a Meir‐Keeler type contraction principle is refined by diminishing continuity requirements.
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Fixed Points of Weakly Compatible Maps Satisfying a General Contractive Condition of Integral Type [PDF]
We prove a fixed point theorem for weakly compatible maps satisfying a general contractive condition of integral ...
Billy E Rhoades +8 more
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source

